Coordinates

Problem 1001

Graph the inequality $y < -\frac{6}{7} x$ .

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Problem 1002

Sketch the polar point (-6, -25π/12).

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Problem 1003

Finde die Koordinaten der beiden anderen Ecken eines Quadrats mit einer Seitenkante $AB$ zwischen $A(3 \mid 4)$ und $B(7 \mid 6)$ .

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Problem 1004

Find the coordinates of the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

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Problem 1005

Find the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

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Problem 1006

Find the point that divides the segment $AB$ with $A(-4,-7)$ and $B(12,5)$ in a $3:7$ ratio. Give as an ordered pair.

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Problem 1007

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find $C$ .

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Problem 1008

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find coordinates of $C$ .

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Problem 1009

Emma and Kevin are building a gazebo with a polygon base. Find the lumber length and floorboard area needed. Points: A(0,16), B(-15,8), C(-15,-9), D(0,-18), E(15,-9), F(15,8).

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Problem 1010

Find the total length of painter's tape needed for walls $ABCD$ with $A(-5,-1)$ , $B(6,3)$ , $C(6,-5)$ , $D(-5,-5)$ .

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Problem 1011

EXERCICE III：5,5pts $\mathrm{F}-\mathrm{ABC}$ est un triangle équilatéral de côté 1 et O est le milieu de $[\mathrm{AB}]$ . Prendre 5 cm comme unité.
1. Soit (D) l'ensemble de points $M$ du plan tels que $M A^{2}-M B^{2}=-1$ . a) Montrer que M appartient à (D) si, et seulement si $\overrightarrow{O M} \cdot \overrightarrow{A B}=-\frac{1}{2}$ . b) Déterminer et construire l'ensemble des points (D).
2. Soit (C) l'ensemble des points $M$ du plan tels que $M A^{2}+M B^{2}=\frac{5}{2}$ . a) Montrer que M appartient à (C) si, et seulement si $20 M^{2}+\frac{1}{2} A B^{2}=\frac{5}{2} \quad 0,5 \mathrm{pt}$ b) Déterminer et construire l'ensemble des points ( C ). 0,5pt 1 pt 1 pt
G - Le système de sécurité d'une porte est une serrure à code. La porte est muni d'un dispositif portant les touches $1,2,3,4,5,6,7,8,9$ et $\mathrm{A}, \mathrm{B}, \mathrm{C}$ , D . la porte s'ouvre lorsqu'on frappe dans l'ordre trois chiffres et deux lettres qui forment le code. Les chiffres sont nécessairement distincts et les lettres non.
1. Quel est le nombre de codes possibles ? 1pt
2. Déterminer le nombre de codes répondant aux critères suivants : Scared avec Canflanner a) Les trois chiffires sont pairs. $0,5 \mathrm{pt}$ b) Les deux lettres sont identiques 0.5 pt c) Le code contient exactement deux chiffres impairs. $0,5 \mathrm{pt}$

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Problem 1012

A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 10 feet and a depth of 2 feet. How far from the base of the dish should the receiver be placed?
The receiver should be placed $\square$ feet from the base of the dish. (Simplify your answer.)

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Problem 1013

theme
Question 7 of 18 The angle $\theta$ between the vectors $u=(1,-2,3)$ and $v=(3,-1,-2)$ equal to $\cos (1 / 14)$ $\cos ^{-1}(1 / 14)$ $\cos ^{-1}(-1 / 14)$ $\cos ^{-1}(-2 / 14)$

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Problem 1014

【開題 53 空間において，単位球面 $S: x^{2}+y^{2}+z^{2}=1$
上の点 $\mathrm{N}(0,0,1)$ を通る直線 $\ell$ が $S$ と交わる点を $\mathrm{A}(a, b, c)$ とし, $x y$ 平面と交わる点を $\mathrm{B}(p, q, 0)$ とする。ただし， $\ell$ は $x y$ 平面に平行でないとする。このとき， $p, q$ を $a, b, c$ を用いて表せ。逆に， $a, b, c$ を $p, q$ を用いて表せ。

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Problem 1015

What are the co-vertices of the ellipse $\frac{x^{2}}{25}+\frac{(y-3)^{2}}{100}=1 ?$ Write your answer in simplified, rationalized form. $\square$ $\square$ and $\square$ $\square$

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Problem 1016

Home > CCA2 > Chapter $2>$ Lesson 2.1.2 > Problem 2-21
2-21. Plot each pair of points and find the distance between them. Give answers in both square-root form and as decimal approximations. $\square$ $\square$ Hint: Draw a right triangle with the hypotenuse segment connecting the given points. Recall the Pythagorean Theorem. Find the difference between the $x$ - and $y$ coordinates, respectively. Square these values, add them, and find the square root of this value. a. $(3,-6)$ and $(-2,5)$ b. $(5,-8)$ and $(-3,1)$ c. $(0,5)$ and $(5,0)$ d. Write the distance you found in $\square$ DAnswer (a): part (c) in simplified square-root $\sqrt{146} \approx 12.1$ form. $\square$ (2Hint (d): Rewrite $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ . Which factor can be simplified further?

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Problem 1017

QUESTION 4
Convert the following rectangular coordinates to cylindrical coordinates. Give angles in terms of Pi. If your answer is two-thirds Pi, you would type 2 pil3. It might look familiar. Keep the square root(s) in your answer- do not use decimals. Rectangular: $(2,-2,2 s q r t 2)=$ Cylindrical: $\square$ $\square$ $\square$

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Problem 1018

Graph the 4 vertices of the quadrilateral. Determine the best name for the quadrilateral and justify your choice. $M(0,2), A(1,-1), T(5,1), H(4,4)$
Quadrilateral MATH is best described as a fa rallologram because buth $\qquad$

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Problem 1019

Find the area of the polygon with vertices at $(2,1)$ , $(2,6)$ , $(5,1)$ , and $(5,6)$ . Area $=$ [?] sq. units.

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Problem 1020

Find slopes and lengths for quadrilateral with points Q(1,3), R(3,-4), S(9,-7), T(7,0). Identify its type.

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Problem 1021

Find the line equation through points $(1,5)$ and $(-6,-3)$ . $y=$

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Problem 1022

Find the slope between the points (-4,6) and (6,6). Then find the slope between (-3,2) and (-3,-9).

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Problem 1023

Consider quadrilateral $P Q R S$ below.
Note that $P Q R S$ has vertices $P(-1,3), Q(4,1), R(1,-7)$ , and $S(-4,-5)$ . Complete the following to determine if $P Q R S$ is a parallelogram. (a) Find the length of $\overline{Q R}$ and the length of $\overline{P S}$ .
Give exact answers (not decimal approximations).
Length of $\overline{Q R}$ : $\square$
Length of $\overline{P S}$ : $\square$ (b) Find the length of $\overline{R S}$ and the length of $\overline{P Q}$ . Give exact answers (not decimal approximations) y
Length of $\overline{R S}$ : $\square$
Length of $\overline{P Q}$ : $\square$ (c) From parts (a) and (b), what can we conclude? The quadrilateral is a parallelogram because it has one pair of opposite sides that are congruent, even though the other two sides are not congruent. The quadrilateral is not a parallelogram because it has a pair of opposite sides that are not congruent. The quadrilateral is a parallelogram because it has two pairs of opposite sides that are congruent. It cannot be determined if the quadrilateral is a parallelogram.

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Problem 1024

REALTA E MODELLI Fari nel buio La figura rappresenta, in modo semplificato, la sezione di un faro di automobile: la superficie riflettente ha la forma di una parabola nel cui fuoco $F$ si trova il filamento della lampadina. I raggi emessi dal punto $F$ vengono riflessi in direzione parallela all'asse di simmetria della parabola. Utilizzando le misure indicate: a. determina l'equazione della parabola nel riferimento $\mathrm{O} x y$ ; b. ricava la distanza FO. $\left[\right.$ a) $x=-\frac{1}{48} y^{2} ;$ b) FO $\left.=12 \mathrm{~cm}\right]$

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Problem 1025

这 $C(15,3)$ and $D(6,15)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? ( ${ }^{3}$ . 7 , Write the coordinates as decimals or integers. $M=(\square, \square)$ Sulinit

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Problem 1026

Which point has coordinates $\left(-4,1 \frac{1}{2}\right)$ ?
U v w

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Problem 1027

$2 M(2 \mid 2)$ ist der Mittelpunkt eines Kreises mit Radius $2,7 \mathrm{~cm}$ . Gib jeweils an, ob die Gerade durch die beiden Punkte eine Tangente, Passante oder Sekante an den Kreis ist und bestimme die Abstände der Geraden von $M$ . a) $P(5,5 \mid 0)$ ; $Q(7 \mid 3,5)$ b) $C(-1,5 \mid 0,5) ; U(4,5 \mid-0,5)$ c) $\mathrm{V}(4,5 \mid 6) ; \mathrm{T}(-1 \mid 3,7)$
3 Überprüfe folgende Aussagen und begründe deine Antwort. a) Der Abstand einer Sekante vom Mittelpunkt $M$ eines Kreises ist immer kleiner als der Abstand einer Tangente von M. b) Eine Tangente und eine Sekante eines Kreises verlaufen stets parallel. c) Eine Passante schneidet jede Tangente eines Kreises genau einmal. d) Jede Sekante durch die Kreispunkte P und T bildet mit den Tangenten in den Punkten P und T ein gleichschenkliges Dreieck.

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Problem 1028

```latex Sejam os planos: $\pi:\left\{\begin{array}{c} x=1+h-t \\ y=-h+2 t \quad \text { e } \\ z=1+h \end{array} \quad \alpha: x+y-z+1=0\right.$
Encontre a interseção entre os planos $\pi$ e $\alpha$ .

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Problem 1029

Graph the line represented by the equation $x = -4$ .

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Problem 1030

Find the x-intercepts and y-intercepts of the equation $y=x^{2}+6$ .

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Problem 1031

Find the slope of the line through the points $(9,-8)$ and $(9,-5)$ .

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Problem 1032

Find the point that is $\frac{3}{10}$ of the way from $A(-3,-6)$ to $B(10,5)$ .

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Problem 1033

1 Die Punkte $A(1|2| 1), B(-2|4| 1)$ und $C(4|1|-1)$ legen eine Ebene fest. Geben Sie für die Ebene eine a) Parametergleichung b) Koordinatengleichung an.

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Problem 1034

15 ცნობილია, რომ C წერტილი ძევს წრფეზე, 0 C D X რომლის განტოლებაა y=x და დაშორებულია A(6; 1) წერტილიდან 5 ერ- თეულის ტოლი მანძილით. იპოვეთ C წერტილის კოორდინატები.

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Problem 1035

49. A flat surface that extends forever in all directions is called a $\qquad$ a. Line b. Point c. Ray d. Plane

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Problem 1036

metrobüs $3 x-4 y-10=0$ kanalizasyon $3 x-4 y+c=0$
Şekilde birbirine paralel doğrultuda inșa edilmiş metrobüs metro ve kanalizasyon hatları ve denklemleri gösterilmiștir.
Metro-metrobūs arasındaki mesafe metro-kanalizasyon hattı arasındaki mesafenin yarısı ise c nin pozitif değeri kaçtır? A) 100 B) 110 C) 120 D) 130 E) 140

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Problem 1037

Find the coordinates of the midpoint of a segment with the endpoints $(9,-3)$ and $(5,1)$ .
1 $\square$ , $\square$ )

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Problem 1038

2 Consider the paralelogram formed by the points $E(1,2,3), F(0,3,5), G(0,1,2)$ and $H$ . (a) Show how to find point $H$ if this point has a z-coord inate of 4 . 1 mark (b) Find $\angle F$ using vector concepts. (c) Find the area of $\triangle E F G$ using vector concepts.

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Problem 1039

Find the points on the ellipse $2 x^{2}+y^{2}=11$ that are farthest away from the point $(1,0)$ .

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Problem 1040

Plot the point (3, -\frac{7 \pi}{4}).

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Problem 1041

Find the point that is 3 times closer to $A(-4,-7)$ than to $B(12,5)$ . Provide the answer as an ordered pair.

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Problem 1042

Plot the point $(5,-1)$ and identify the quadrant.
Click on the graph to plot a point. Click a point to delete it.

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Problem 1043

2. Line Segment $A B$ has endpoints $A(-10,4)$ and $B(-6,2)$ . What is the equation of the perpendicular bisector of $A B$ . (Need to use midpoint formula, slope formula and point slope form to answer this question)

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Problem 1044

Graph the line for the equation $x - y = 2$ .

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Problem 1045

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

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Problem 1046

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

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Problem 1047

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

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Problem 1048

Calculate the distance between the points $(-6,-5)$ and $(2,0)$ .

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Problem 1049

Find the $x$ -intercept and $y$ -intercept of the line $3x - 2y = -18$ and use them to graph the line.

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Problem 1050

18) $\frac{(x+9)^{2}}{81}+\frac{(y-5)^{2}}{36}=1$

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Problem 1051

A hexagon is graphed on a coordinate grid and then was rotated $90^{\circ}$ counterclockwise with the origin as the center of rotation to create a new figure. If a vertex of the original hexagon was located at $(3,-9)$ , which ordered pair represents the vertex of the new hexagon after th transformation? $(3,9)$ $(9,3)$ $(-3,-9)$ $(-9,-3)$

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Problem 1052

Find the intercepts of the line given by $x - 2y = 4$ and use them to graph the line.

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Problem 1053

Find the $x$ -intercept and $y$ -intercept of the line given by $-8x + 10y = -20$ and graph it.

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Problem 1054

Find the equation of the horizontal line that goes through the point $(3,-1)$ .

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Problem 1055

Дана пирамида EABCD. Её основание - параллелограмм, диагонали которого пересекаются в точке $O$ . Определи, справедливо ли равенство: $1.2 \overrightarrow{O D}-\overrightarrow{A D}+\overrightarrow{A C}=\overrightarrow{B E}$ $\square$
2. $\overrightarrow{O D}+\overrightarrow{O E}-\overrightarrow{C E}+0,5 \overrightarrow{C A}=\overrightarrow{O B}$ . $\square$
3. $\overrightarrow{A E}-\overrightarrow{O E}+0,5 \overrightarrow{B D}=\overrightarrow{D A}$ . $\square$

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Problem 1056

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is $y^{2}+16 x=0$ and hyperbola passes through at the point $(6,2 \sqrt{2})$

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1 ...8 9 10 11

Coordinates

Problem 1001

Graph the inequality y<−67xy < -\frac{6}{7} xy<−76​x.

Problem 1002

Sketch the polar point (-6, -25π/12).

Problem 1003

Finde die Koordinaten der beiden anderen Ecken eines Quadrats mit einer Seitenkante ABABAB zwischen A(3∣4)A(3 \mid 4)A(3∣4) und B(7∣6)B(7 \mid 6)B(7∣6).

Problem 1004

Find the coordinates of the point that is 710\frac{7}{10}107​ of the way from A(−3,−5)A(-3,-5)A(−3,−5) to B(9,7)B(9,7)B(9,7).

Problem 1005

Find the point that is 710\frac{7}{10}107​ of the way from A(−3,−5)A(-3,-5)A(−3,−5) to B(9,7)B(9,7)B(9,7).

Problem 1006

Find the point that divides the segment ABABAB with A(−4,−7)A(-4,-7)A(−4,−7) and B(12,5)B(12,5)B(12,5) in a 3:73:73:7 ratio. Give as an ordered pair.

Problem 1007

Point BBB divides segment AC‾\overline{AC}AC in a 1:31:31:3 ratio. Given A(−4,−7)A(-4,-7)A(−4,−7) and B(12,5)B(12,5)B(12,5), find CCC.

Problem 1008

Point BBB divides segment AC‾\overline{AC}AC in a 1:31:31:3 ratio. Given A(−4,−7)A(-4,-7)A(−4,−7) and B(12,5)B(12,5)B(12,5), find coordinates of CCC.

Problem 1009

Emma and Kevin are building a gazebo with a polygon base. Find the lumber length and floorboard area needed. Points: A(0,16), B(-15,8), C(-15,-9), D(0,-18), E(15,-9), F(15,8).

Problem 1010

Find the total length of painter's tape needed for walls ABCDABCDABCD with A(−5,−1)A(-5,-1)A(−5,−1), B(6,3)B(6,3)B(6,3), C(6,−5)C(6,-5)C(6,−5), D(−5,−5)D(-5,-5)D(−5,−5).

Problem 1011

Problem 1012

Problem 1013

Problem 1014

Problem 1015

What are the co-vertices of the ellipse x225+(y−3)2100=1?\frac{x^{2}}{25}+\frac{(y-3)^{2}}{100}=1 ?25x2​+100(y−3)2​=1? Write your answer in simplified, rationalized form. □\square□ □\square□ and □\square□ □\square□

Problem 1016

Problem 1017

Problem 1018

Graph the 4 vertices of the quadrilateral. Determine the best name for the quadrilateral and justify your choice. M(0,2),A(1,−1),T(5,1),H(4,4)M(0,2), A(1,-1), T(5,1), H(4,4)M(0,2),A(1,−1),T(5,1),H(4,4)Quadrilateral MATH is best described as a fa rallologram because buth \qquad

Problem 1019

Find the area of the polygon with vertices at (2,1)(2,1)(2,1), (2,6)(2,6)(2,6), (5,1)(5,1)(5,1), and (5,6)(5,6)(5,6). Area === [?] sq. units.

Problem 1020

Find slopes and lengths for quadrilateral with points Q(1,3), R(3,-4), S(9,-7), T(7,0). Identify its type.

Problem 1021

Find the line equation through points (1,5)(1,5)(1,5) and (−6,−3)(-6,-3)(−6,−3). y=y= y=

Problem 1022

Find the slope between the points (-4,6) and (6,6). Then find the slope between (-3,2) and (-3,-9).

Problem 1023

Problem 1024

Problem 1025

这 C(15,3)C(15,3)C(15,3) and D(6,15)D(6,15)D(6,15) are the endpoints of a line segment. What is the midpoint MMM of that line segment? ( 3{ }^{3}3. 7 , Write the coordinates as decimals or integers. M=(□,□)M=(\square, \square)M=(□,□) Sulinit

Problem 1026

Which point has coordinates (−4,112)\left(-4,1 \frac{1}{2}\right)(−4,121​) ?U v w

Problem 1027

Problem 1028

Problem 1029

Graph the line represented by the equation x=−4x = -4x=−4.

Problem 1030

Find the x-intercepts and y-intercepts of the equation y=x2+6y=x^{2}+6y=x2+6.

Problem 1031

Find the slope of the line through the points (9,−8)(9,-8)(9,−8) and (9,−5)(9,-5)(9,−5).

Problem 1032

Find the point that is 310\frac{3}{10}103​ of the way from A(−3,−6)A(-3,-6)A(−3,−6) to B(10,5)B(10,5)B(10,5).

Problem 1033

1 Die Punkte A(1∣2∣1),B(−2∣4∣1)A(1|2| 1), B(-2|4| 1)A(1∣2∣1),B(−2∣4∣1) und C(4∣1∣−1)C(4|1|-1)C(4∣1∣−1) legen eine Ebene fest. Geben Sie für die Ebene eine a) Parametergleichung b) Koordinatengleichung an.

Problem 1034

Problem 1035

49. A flat surface that extends forever in all directions is called a \qquad a. Line b. Point c. Ray d. Plane

Problem 1036

Problem 1037

Find the coordinates of the midpoint of a segment with the endpoints (9,−3)(9,-3)(9,−3) and (5,1)(5,1)(5,1).1 □\square□ , □\square□ )

Problem 1038

Problem 1039

Find the points on the ellipse 2x2+y2=112 x^{2}+y^{2}=112x2+y2=11 that are farthest away from the point (1,0)(1,0)(1,0).

Problem 1040

Plot the point (3, -\frac{7 \pi}{4}).

Problem 1041

Find the point that is 3 times closer to A(−4,−7)A(-4,-7)A(−4,−7) than to B(12,5)B(12,5)B(12,5). Provide the answer as an ordered pair.

Problem 1042

Plot the point (5,−1)(5,-1)(5,−1) and identify the quadrant.Click on the graph to plot a point. Click a point to delete it.

Problem 1043

2. Line Segment ABA BAB has endpoints A(−10,4)A(-10,4)A(−10,4) and B(−6,2)B(-6,2)B(−6,2). What is the equation of the perpendicular bisector of ABA BAB. (Need to use midpoint formula, slope formula and point slope form to answer this question)

Problem 1044

Graph the line for the equation x−y=2x - y = 2x−y=2.

Problem 1045

Find the distance between marinas at P(4,2)P(4,2)P(4,2) and Q(8,12)Q(8,12)Q(8,12) on a map where 1 unit = 1 km. Choices: A. 14 km B. 2292 \sqrt{29}229​ km C. 6 km D. 252 \sqrt{5}25​ km

Problem 1046

Find point J if D is the midpoint of HJ, with D at (−3,4)(-3,4)(−3,4) and H at (9,−6)(9,-6)(9,−6). Where is J? A. (−15,14)(-15,14)(−15,14) B. (21,−16)(21,-16)(21,−16) C. (3,−1)(3,-1)(3,−1) D. (6,−2)(6,-2)(6,−2)

Graph the inequality $y < -\frac{6}{7} x$ .

Finde die Koordinaten der beiden anderen Ecken eines Quadrats mit einer Seitenkante $AB$ zwischen $A(3 \mid 4)$ und $B(7 \mid 6)$ .

Find the coordinates of the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

Find the point that is $\frac{7}{10}$ of the way from $A(-3,-5)$ to $B(9,7)$ .

Find the point that divides the segment $AB$ with $A(-4,-7)$ and $B(12,5)$ in a $3:7$ ratio. Give as an ordered pair.

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find $C$ .

Point $B$ divides segment $\overline{AC}$ in a $1:3$ ratio. Given $A(-4,-7)$ and $B(12,5)$ , find coordinates of $C$ .

Find the total length of painter's tape needed for walls $ABCD$ with $A(-5,-1)$ , $B(6,3)$ , $C(6,-5)$ , $D(-5,-5)$ .

What are the co-vertices of the ellipse $\frac{x^{2}}{25}+\frac{(y-3)^{2}}{100}=1 ?$ Write your answer in simplified, rationalized form. $\square$ $\square$ and $\square$ $\square$

Graph the 4 vertices of the quadrilateral. Determine the best name for the quadrilateral and justify your choice. $M(0,2), A(1,-1), T(5,1), H(4,4)$
Quadrilateral MATH is best described as a fa rallologram because buth $\qquad$

Find the area of the polygon with vertices at $(2,1)$ , $(2,6)$ , $(5,1)$ , and $(5,6)$ . Area $=$ [?] sq. units.

Find the line equation through points $(1,5)$ and $(-6,-3)$ . $y=$

这 $C(15,3)$ and $D(6,15)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? ( ${ }^{3}$ . 7 , Write the coordinates as decimals or integers. $M=(\square, \square)$ Sulinit

Which point has coordinates $\left(-4,1 \frac{1}{2}\right)$ ?
U v w

Graph the line represented by the equation $x = -4$ .

Find the x-intercepts and y-intercepts of the equation $y=x^{2}+6$ .

Find the slope of the line through the points $(9,-8)$ and $(9,-5)$ .

Find the point that is $\frac{3}{10}$ of the way from $A(-3,-6)$ to $B(10,5)$ .

1 Die Punkte $A(1|2| 1), B(-2|4| 1)$ und $C(4|1|-1)$ legen eine Ebene fest. Geben Sie für die Ebene eine a) Parametergleichung b) Koordinatengleichung an.

49. A flat surface that extends forever in all directions is called a $\qquad$ a. Line b. Point c. Ray d. Plane

Find the coordinates of the midpoint of a segment with the endpoints $(9,-3)$ and $(5,1)$ .
1 $\square$ , $\square$ )

Find the points on the ellipse $2 x^{2}+y^{2}=11$ that are farthest away from the point $(1,0)$ .

Find the point that is 3 times closer to $A(-4,-7)$ than to $B(12,5)$ . Provide the answer as an ordered pair.

Plot the point $(5,-1)$ and identify the quadrant.
Click on the graph to plot a point. Click a point to delete it.

2. Line Segment $A B$ has endpoints $A(-10,4)$ and $B(-6,2)$ . What is the equation of the perpendicular bisector of $A B$ . (Need to use midpoint formula, slope formula and point slope form to answer this question)

Graph the line for the equation $x - y = 2$ .

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

Calculate the distance between the points $(-6,-5)$ and $(2,0)$ .

Find the $x$ -intercept and $y$ -intercept of the line $3x - 2y = -18$ and use them to graph the line.

18) $\frac{(x+9)^{2}}{81}+\frac{(y-5)^{2}}{36}=1$

Find the intercepts of the line given by $x - 2y = 4$ and use them to graph the line.

Find the $x$ -intercept and $y$ -intercept of the line given by $-8x + 10y = -20$ and graph it.

Find the equation of the horizontal line that goes through the point $(3,-1)$ .

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is $y^{2}+16 x=0$ and hyperbola passes through at the point $(6,2 \sqrt{2})$