Algebra II Unit 4 Answers PHS
(L5) Given the ellipse with equation x²/49 + y²/25 =1, what are a, b, x1 and y1? a= ___ b= ___ x₁= ___ y₁= ___
Given the ellipse with equation x²/49 + y²/25 =1, what are a, b, x1 and y1? a= 7 b= 5 x₁= 0 y₁= 0
(L5) Apply the indicated operations to the matrix; then choose the correct answer. [1 2 0]4R₁→R₁[ ___ ___ ___ ] [-2 -1 3]..............[ ___ ___ ___ ]
[4 8 0] [-2 -1 3]
(Q2) Given the ellipse with equation (x-2)²/16 + (y-4)²/9 =1, what are a, b, x₁ and y₁?
a= 4 b= 3 x₁= 2 y₁= 4
(L5) Given the ellipse with equation (y-4)²/64 + (x-2)²/4 =1, what are a, b, x1 and y1? a= ___ b= ___ x₁= ___ y₁= ___
a= 8 b= _1 x₁= 2 y₁= 4
(L6) A(n) ___ of a hyperbola is one of two lines through the center of a hyperbola that the hyperbola approaches but never intersects.
asymptote
(Q1) The ___ is a segment that extends from the vertex of a cone to the center of the base.
axis of a cone
(L6) A(n) ___ of a hyperbola is one of two separate halves of a hyperbola on opposite sides of the center.
branch
(L4) The ___ of an ellipse is the intersection of the major axis and the minor axis of an ellipse.
center
(L6) The ___ of a hyperbola is the midpoint of the segment connecting the vertices of a hyperbola.
center
(Q1) A(n) ___ is the locus of points in a plane that are equidistant from one point, called the center.
circle
(L4) The ___ of an ellipse is one of the two points of an ellipse that are closest to the center.
co-vertex
(L1) A ___ is a geometric solid formed by a circular base and a curved surface that connects the base to a vertex.
cone
(Q1) A ___ is a geometric solid formed by a circular base and a curved surface that connects the base to a vertex.
cone
(L1) A ___ is the intersection of a plane with one or both nappes of a double cone.
conic section
(Q1) A ___ is the intersection of a plane with one or both nappes of a double cone.
conic section
(L6) The ___ axis is the line perpendicular to the transverse axis through the center of a hyperbola.
conjugate
(L4) A(n) ___ is the locus of points in a plane such that the sum of the distances from any point in the locus to two points, called the foci, is a constant.
ellipse
(Q2) A(n) ___ is the locus of points in a plane such that the sum of the distances from any point in the locus to two points, called the foci, is a constant.
ellipse
(L4) The ___ of an ellipse is one of two points in the interior of an ellipse such that the sum of the distances from any point on the ellipse to the foci is a constant.
focus
(L6) The ___ of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.
focus
(L6) A ___ is the locus of points in a plane such that the difference of the distances to two fixed points called the foci is a constant.
hyperbola
(Q2) The ___ is the line through the vertices of an ellipse.
major axis
(L4) The ___ is the line through the co-vertices of an ellipse.
minor axis
(Q2) The ___ is the line through the co-vertices of an ellipse.
minor axis
(Q1) A ___ is one of two pieces of a double cone divided at the vertex.
nappe
(Q1) Given: A(2,1), B(0,5), C(-1,2), AB¯ and BC¯, mAB=-2, mBC=3. Find slope of PAB¯ , perpendicular to AB¯ _____
so mPAB=½ since the product of the slopes will be -1 ((idk the answer))
(L6) The ___ axis is the line joining the two vertices of a hyperbola.
transverse
(L4) The ___ of an ellipse is one of the two points of an ellipse that are furthest from the center.
vertex
(L6) One of two points of a hyperbola closest to the center is the ___ of a hyperbola.
vertex
(L5) Given the equation, is the ellipse horizontal or vertical? (y-4)²/64 + (x-2)²/4 =1
vertical
(L5) Choose the correct answer after combining two equations into one with two variables. x-7=5 and 1-4y=6
x+4y=7
(Q1) Choose the best answer. Given: A(2,1), B(0,5), C(-1,2), AB¯ and BC¯, mPAB=½,mPBC=-⅓, midpoint of AB¯=(1,3), midpoint of BC¯=(-½,⁷/₂). Find standard form equation of line perpendicular to BC¯ through the midpoint _____. Use the formula m=y-y₁/x-x₁
x-2y=-5
(Q1) Given: A(2,1), B(0,5), C(-1,2), AB¯ and BC¯, mPAB=½,mPBC=-⅓, midpoint of AB¯=(1,3), midpoint of BC¯=(-½,⁷/₂). Find standard form equation of line perpendicular to AB¯ through the midpoint _____ . Use the formula m=y-y₁/x-x₁
x-2y=-5
(L2) Choose the inverse of the linear function. f(x)=5x+10
y=¹∕₅x-2
(L3) What is the slope-intercept form of the equation? 2x-3y=15
y=⅔x-5
(Q3) Find the vertices of the hyperbola (x-1)²/4 - (y+3)²/16 =1. _____, _____
(-1,-3) (3,-3)
(L7) Using the equation (x-2)²/9 - (y-1)²4 =1 find the vertices. _____, _____
(-1,1) (5,1)
(L7) Use the equation (x-2)²/4² - (y-1)²/2² =1 to find the vertices. vertices= (x₁+a,y₁) and (x₁-a,y₁) _____, _____
(-2,1) (6,1)
(L9) Find the focus of the equation x=2(y+4)²-3.
(-2⅞,-4)
(Q4) Find the focus of the equation y=(x+3)²-4.
(-3,-3¾)
(L9) Find the vertex of the equation x=2(y+4)²-3
(-3,-4)
(Q4) Find the vertex of the equation y=(x+3)²-4.
(-3,-4)
(PT) Find the y-intercept of the equation y=(x-3)²+2.
(0,11)
(Q4) Find the y-intercept of the equation y=(x+3)²-4.
(0,5)
(L9) Find the y-intercept of y=(x-3)²-2.
(0,7)
(PT) Find the center of the hyperbola (x-1)²/4 - (y+3)²/16 =1.
(1,-3)
(Q3) Find the center of the hyperbola with equation (x-1)²/4 - (y+3)²/16 =1.
(1,-3)
(L9) Choose the solutions to the two equation system. {x-2y=4 {4x+2y=6
(2,-1)
(L7) Use the equation (x-2)²/4² - (y-1)²/2² =1 to find the center. center= (x₁,y₁)
(2,1)
(PT) Determine the center of the circle from the equation. x²-6x+9+y²-4y+4=16
(2,3)
(L6) Find the foci of the hyperbola (x-2)242-(y-1)222=1. foci: (x1+a2+b2,y1),(x1-a2+b2,y1)= _____, _____
(2-2√5,1)=(-2.8,1) (2+2√5,1)=(6.8,1)
(L9) Find the vertex of y=(x-3)²-2.
(3,-2)
(PT) Find the vertices of the hyperbola (x-1)²/4 - (y+3)²/16 =1 _____, _____
(3,-3) (-1,-3)
(PT) Find the vertex of the equation y=(x-3)²+2.
(3,2)
(L9) Choose the solutions to the two equation system. {6x+3y=30 {x+y=7
(3,4)
(PT) Using the equation (x-3)²/9 - (y-4)²/4 =1 find the center.
(3,4)
(PT) Change to the standard form equation for an ellipse ((x-x1)²/a²+(y-y1)2b2=1) by completing the square. x²+4y²-8y-6x+9=0
(x-3)²/4 + (y-1)²/1 =1
(Q4) Find the points of the table. 4y=(x+3)²-4
-1: 0 -5: 0 -7: 12 1: 12
(Q2) Given the ellipse with equation (x-2)²/16 + (y-4)²/9 =1, substitute the x-values from the table into the equation to obtain y-values, rounded to the nearest integer.
-1: 6 or 2 5: 6 or 2
(L1) Determine the x -value of the solution of the linear system by using Cramer's Rule; then choose the correct answer. [1 3 | 1] [4 8 | 0]
-2
(L7) Calculate; then choose the correct answer. Given: f(x)=x+3 and g(x)=-2x. Find f(g(x)).
-2x+3
(L6) Choose the correct answer for the determinant of the matrix. det[3 1] .......[2 -1]
-5
(PT) Use the hyperbola equation to find the y-values to the nearest integer from the given x and y-values in the table. (x-3)²/9 - (y-4)²/4 =1
-5: -9 -5: -9
(Q1) Given: A(2,1), B(0,5), C(-1,2), AB¯ and BC¯, mAB=-2, mBC=3. Find slope of PBC¯ , perpendicular to BC¯ _____
-⅓
(L6) Choose the correct answer for the determinant of the matrix. det[2 3] .......[4 6]
0
(PT) Use the hyperbola equation to find the y-values to the nearest integer from the given x and y-values in the table. (x-3)²/9 - (y-4)²/4 =1
11: 9 11: 9
(PT) Find the points in the table. y=(x-3)²+2
1: 6 2: 3 4: 3 5: 6 6: 11
(L7) Calculate; then choose the correct answer. Given: f(x)=3x-1 and g(x)=7x+6. Find g(f(x)).
21x-1
(L6) Find the eccentricity of the hyperbola (x-2)242-(y-1)222=1. eccentricity: e=a2+b2a=
2√5/4
(PT) Determine the radius of the circle from the equation. x²-6x+9+y²-4y+4=16
4
(Q3) Use the hyperbola equation to find the y-values to the nearest integer from the given x-values in the table.
4 or -10 4 or -10
(L7) Calculate; then choose the correct answer. Given: f(x)=5x and g(x)=x-3. Find f(g(x)).
5x-15
(L6) Choose the correct answer for the determinant of the matrix. .......[1 0 2] det[2 1 3] .......[0 2 4]
6
(L9) Find the points in the table. y=(x-3)²-2
Find the points in the table. y=(x-3)²-2 1: 2 2: -1 4: -1 5: 2 6: 7
(L9) Find the points in the table. x=2(y+4)²-3
Find the points in the table. x=2(y+4)2-3xy -1: -3 -1: -5 5: -2 5: -6
(L7) Find two points for each asymptote. x=0 y=²/₄x x=2 y=²/₄x x=0 y=-²/₄x+2 x=2 y=-²/₄x+2
Find two points for each asymptote. (0,0) (2,1) (0,2) (0,2)
(Q3) Find two points for each asymptote. x=-2 y=2x-5 x=4 y=2x-5 x=4 y=-2x-1 x=-2 y=-2x-1
Find two points for each asymptote. (C.) (-2,-9) (F.) (4,3) (E.) (4,-9) (D. )(-2,3)
(L8) Match the sentences with the correct words. A __________ is the locus of points in a plane that are equidistant from a line and a point not on the line. The __________ of a parabola is the point, along with a line not containing the point, which is used to generate a parabola. The __________ of a parabola is the line, along with a point not on the line, which is used to generate a parabola. The __________ of a parabola is the point of a parabola lying halfway between the directrix and focus.
Match the sentences with the correct words. parabola focus directrix vertex
(L8) Use the equation y=½(x-3)²+4 to fill in the blanks. opening directrix y= focus vertex
Use the equation y=½(x-3)²+4 to fill in the blanks. (D.) Upward (F.) 3½ (A.) (3,4½) (B.) (3,4)
(L7) Use the standard hyperbola equation to find the y-values to the nearest whole number from the x-values in the table. (x-2)²/4² - (y-1)²/2² =1
X........Y -7: -3 -7: 5
(L7) Use the standard hyperbola equation to find the y-values to the nearest integer from the x -values in the table. (x-2)²/4² - (y-1)²/2² =1
X........Y 11: 5 or -3 11: 5 or -3
(L5) Apply the indicated operations to the matrix; then choose the correct answer. [-2 3 1]2R₁+R₂→R₁[ ___ ___ ___ ] [-3 1 2]........................[ ___ ___ ___ ]
[-7 7 4] [-3 1 2]
(L4) Which is the transpose of the matrix? A=[0-134-25071]AT=?
[040-1-27351]
(L7) Using the equation (x-1)²/4 - (y+3)²/16 =1,find a,b,x₁ and y₁.
a= 2 b= 4 x₁= 1 y₁= -3
(L7) Using the equation (x-2)²/4² - (y-1)²/2² =1,find a,b,x₁ and y₁.
a= 4 b= 2 x₁= 2 y₁= 1
(PT) Using the equation (x-3)²/9 - (y-4)²/4 =1 find a, b, x₁ and y₁. (50/100)
a=-9 b=-4 x₁=3 y₁= 4
(PT) A(n) ___ of a hyperbola is one of two lines through the center of a hyperbola that the hyperbola approaches but never intersects.
asymptote
(Q3) A(n) ___ of a hyperbola is one of two lines through the center of a hyperbola that the hyperbola approaches but never intersects.
asymptote
(Q3) The ___ of a hyperbola is the midpoint of the segment connecting the vertices of a hyperbola.
center
(PT) A(n) ___ is the locus of points in a plane that are equidistant from one point, called the center.
circle
(PT) A ___ is the intersection of a plane with one or both nappes of a double cone.
conic section
(Q3) The ___ axis is the line perpendicular to the transverse axis through the center of a hyperbola.
conjugate
(Q4) The ___ of a parabola is the line, along with a point not on the line, which is used to generate a parabola.
directrix
(L1) Two cones placed vertex to vertex is called a ___.
double cone
(Q1) Two cones placed vertex to vertex is called a ___.
double cone
(L4) The ___ of an ellipse is a measure of how close an ellipse is to being circular.
eccentricity
(L6) A number which measures the degree of curvature of a hyperbola is called the ___ of a hyperbola.
eccentricity
(Q2) The ___ of an ellipse is a measure of how close an ellipse is to being circular.
eccentricity
(Q3) A number which measures the degree of curvature of a hyperbola is called the ___ of a hyperbola.
eccentricity
(PT) A(n) ___ is the locus of points in a plane such that the sum of the distances from any point in the locus to two points, called the foci, is a constant.
ellipse
(L9) Choose the correct algebraic definition for the piecewise graph.
f(x)={1;0≤x<2 .........{2;2≤x<4
(Q3) The ___ of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.
focus
(Q4) The ___ of a parabola is the point, along with a line not containing the point, which is used to generate a parabola.
focus
(L5) Given the equation, is the ellipse horizontal or vertical? x249+y225=1
horizontal
(Q2) Looking at the equation (x-2)²/16 + (y-4)²/9 =1, is the ellipse horizontal or vertical?
horizontal
(PT) A(n) ___ is the locus of points in a plane such that the difference of the distances to two fixed points called the foci is a constant.
hyperbola
(Q3) A ___ is the locus of points in a plane such that the difference of the distances to two fixed points called the foci is a constant.
hyperbola
(L4) The ___ is the line through the vertices of an ellipse.
major axis
(PT) The ___ is the line through the vertices of an ellipse.
major axis
(L1) A ___ is one of two pieces of a double cone divided at the vertex.
nappe
(Q4) A ___ is the locus of points in a plane that are equidistant from a line and a point not on the line.
parabola
(PT) The ___ axis is the line joining the two vertices of a hyperbola.
transverse
(Q3) The ___ axis is the line joining the two vertices of a hyperbola.
transverse
(Q4) Looking at the equation y=(x+3)²-4, determine which direction in which the parabola is open.
up
(Q4) The ___ of a parabola is the point of a parabola lying halfway between the directrix and focus.
vertex
(Q4) Find the axis of symmetry of the equation y=(x+3)²-4.
x=-3
(L9) Find the directrix of the equation x=2(y+4)²-3.
x=-3⅛
(L8) y²+4y-2x=6
x=½(y+2)²-5
(L8) 6x+2y=12
y=-3x+6
(L9) Find the axis of symmetry of the equation x=2(y+4)²-3.
y=-4
(Q4) Find the directrix of the equation 4y=(x+3)²-4.
y=-4¼
(L6) Find the asymptotes of the hyperbola(x-2)242-(y-1)222=1. asymptotes: y=±ba(x-x1)+y1= _____ , _____
y=-½x+2 y=½x
(L8) 4x+3y=12
y=-⁴/₃x+4
(L8) x²+3y-4x=17
y=-⅓(x-2)²+7
(Q3) Find the asymptotes of the hyperbola (x-1)²/4 - (y+3)²/16 =1. _____, _____
y=2x-5 y=-2x-1
(L7) Use the equation (x-2)242-(y-1)222=1 to find the asymptotes. asymptotes: y=±ba(x-x₁)+y₁ _____, _____
y=½x y=-½x+2
(L8) x-4y<12
y>¼x-3
(L7) Choose the correct interval represented by the number line.
|x-2|≤5
(L3) Choose the solution to the system of equations. {3x+y=1 {x+2y=7
(-1,4)
(L4) Find the co-vertices. x²/49 + y²/9 =1
(0,-3) (0,3)
(Q1) Given: A(2,1), B(0,5), C(-1,2), AB¯ and BC¯, lines x-2y=-5 and -x-3y=-10 through the midpoints of AB¯ and BC¯ and perpendicular to them. Use Gaussian elimination to find the intersection of the lines, the center of the circle containing points A, B, and C. _____
(1,3)
(L2) Given: A(5,0), B(7,-4), C(5,-8), AB¯ and BC¯, lines x-2y=10 and -x-2y=6 through the midpoints of AB¯ and BC¯ and perpendicular to them. Use Gaussian elimination to find the intersection of the lines, the center of the circle containing points
(2, -4)
(Q1) Determine the center of the circle from the equation. x²-4x+4+y²+6y+9=4
(2,-3)
(L2) Given: A(5,0), B(7,-4), C(5,-8), AB¯ and BC¯ Find slope of mAB¯ Find slope of mBC¯
(D.) -2 (E.) 2
(L1) Determine the x -value of the solution of the linear system by using Cramer's Rule; then choose the correct answer. [1 2 | -3] [2 -3 | 8]
1
(L4) Find the eccentricity. x²/49 + y²/9 =1
210/7
(L3) From the equation, find the points indicated: x²+2x+y²+4y=20
Center: (B.) (-1,-2) Radius:(D.) 5 A y -intercept: (C.) (0,2.9) Another point on the circle: (E.) (4,-2)
(L3) Use the formula (x-x1)²+(y-y1)²=r² to determine the center and radius of the circle from the equation. (x-9)²+(y-8)²=4²
Center: (E.) (9,8) Radius: (A.) 4
(L4) Which is the product of the matrix? 3[-12-21]
[-36-63]
(L2) Choose the inverse of the linear function. f(x)=13x-3
f¯¹(x)=3x+9
(Q1) Given: A(2,1), B(0,5), C(-1,2), AB¯ and BC¯, center point (1,3). Use the center point and point A to find the radius of the circle. _____
√5
(L4) Which is the product of the matrix? [2 1 4]×[132]
[13]
(L6) Find the vertices of the hyperbola (x-2)242-(y-1)222=1. vertices: (x1+a,y1),(x1-a,y1)= _____, _____
(-2,1) (6,1)
(L5) Given the ellipse with equation x²/49 + y²/25 =1, what are the vertices? vertices =(x₁-a,y₁)(x₁+a,y₁)=(_____) (_____)
(-7, 0) (7, 0)
(L4) Find the vertices. x²/49 + y²/9 =1
(-7,0) (7,0)
(L5) Given the ellipse with equation x²/49 + y²/25 =1, what are the co-vertices? co-vertices =(x₁,y₁-b)(x₁,y₁+b)=(_____) (_____)
(0, -5) (0, 5)
(L5) Given the ellipse with equation (y-4)²/64 + (x-2)²/4 =1 what are the co-vertices? co-vertices =(x₁-b,y₁)(x₁,+b,y₁)=(_____) (_____)
(0, 4) (4, 4)
(Q2) Given the ellipse with equation (x-2)²/16 + (y-4)²/9 =1 what are the co-vertices? Select all that apply. co-vertices= (x₁,y₁-b)(x₁,y₁+b)= _____ , _____
(2, 1) (2, 7)
(L5) Given the ellipse with equation (y-4)²/64 + (x-2)²/4 =1 what are the vertices? vertices =(x₁,y₁-a)(x₁,y₁+a)=(_____) (_____)
(2, 12) (2, -4)
(L6) Find the center of the hyperbola (x-2)242-(y-1)222=1. center: C(x1,y1)=
(2,1)
(L4) Find the foci. x²/49 + y²/9 =1
(210,0) (-210,0)
(L3) Choose the solution to the system of equations. {6x+3y=30 {x+y=7
(3,4)
(Q2) Given the ellipse with equation (x-2)²/16 + (y-4)²/9 =1 what are the vertices? Select all that apply. vertices= (x₁-a,y₂)(x₁+a,y₁)= _____ , _____
(6, 4) (-2, 4)
(L2) Given: A(5,0), B(7,-4), C(5,-8), AB¯ and BC¯ Find midpoint of AB¯ Find midpoint of BC¯
(B.) (6, -2) (D.) (6, -6)
(L2) Given: A(5,0), B(7,-4), C(5,-8), AB¯ and BC¯, mPAB=12, mPBC=-12, midpoint of AB¯=(6,-2), midpoint of BC¯=(6,-6). Find standard form equation of line perpendicular to AB¯ through the midpoint Find standard form equation of line perpendicular to BC¯ through the midpoint Use the formula m=y-y1x-x1
(B.) x-2y=10 (A.) -x-2y=6
(L5) Given the ellipse with equation x²/49 + y²/25 =1, substitute the x-values from the table into the equation to obtain y-values. ±1±4.9 ±4 ±3
(B.) ±4.1 (E.) ±4.5
(L2) Given: A(5,0), B(7,-4), C(5,-8), AB¯ and BC¯, mAB=-2, mBC=2 Find slope of PAB¯ , perpendicular to AB¯ Find slope of PBC¯ , perpendicular to BC¯
(E.) ½ (A.) -½
(L6) Transform the equation into the standard form for hyperbolas, (x-x1)2a2-(y-y1)2b2=1. 4x2-3y2+8x+6y-23=0
(x+1)²/6 - (y-1)²/8 =1
(Q1) Given the center and radius, choose the standard form equation of the circle. Center: (-2,-5) Radius: 4
(x+2)²+(y+5)²=4²
(L3) Given the center and radius, write the standard equation for the circle. Center: (-5,2) Radius: 6
(x+5)²+(y-2)²=6²
(Q1) Given: A(2,1), B(0,5), C(-1,2), AB¯ and BC¯, center point (1,3) and r=5. Find the equation of the circle. _____
(x-1)²+(y-3)²=5
(Q2) Find the standard form equation for the ellipse. 2x²+3y²-4x+12y=4
(x-1)²/9 + (y+2)²/6 =1
(L4) Find the standard form equation of the ellipse.
(x-2)2/10 + (y-2)2/16 =1
(L2) Given: A(5,0), B(7,-4), C(5,-8), AB¯ and BC¯, center point (2,-4) and r=5. Find the equation of the circle. _____
(x-2)²+(y+4)²=5²
(L3) Given the center and radius, write the standard equation for the circle. Center: (7,3) Radius: 4
(x-7)²+(y-3)²=4²
(L5) Choose the correct answer after combining two inequalities into one with two variables. -2x+5<9 and 3y-7>2
2x+3y>5
(L5) Given the ellipse with equation (y-4)²/64 + (x-2)²/4 =1, substitute the x -values from the table into the equation to obtain y -values. 1: __________ 3: __________
1: 10.9 or -2.9 3: 10.9 or -2.9
(Q1) Determine the radius of the circle from the equation. x²-4x+4+y²+6y+9=4
2
(L1) Determine the x -value of the solution of the linear system by using Cramer's Rule; then choose the correct answer. [2 3 | 1] [-3 -4 | -3]
5
(L2) Given: A(5,0), B(7,-4), C(5,-8), AB¯ and BC¯, center point (2,-4). Use the center point and point A to find the radius of the circle. _____
5
(L5) Choose the correct answer after combining two equations into one with two variables. 7x+3=5 and y-1=6
7x-y=-5
(L3) Use the formula (x-x1)²+(y-y1)²=r² to determine the center and radius of the circle from the equation. x²+2x+y²+8y+8=0
Center: (D.) (-1,-4) Radius: (B.) 3
(L4) Choose the correct equation. Major axis is vertical. Minor axis is vertical.
Choose the correct equation. (B.) (y-y₁)²/a² + (x-x1)²/b²=1 (A.) (x-x₁)²/a² + (y-y1)²/b²=1
(Q1) Label each conic section by writing its name on the blank. A. __________ B. __________ C. __________ D. __________
Label each conic section by writing its name on the blank. A. parabola B. circle C. ellipse D. hyperbola
(L1) Label each conic section by writing its name on the blank. A: B: C: D:
Label each conic section by writing its name on the blank. parabola circle ellipse hyperbola
(L2) Match the descriptions with the formulas. (A.) m=y₂-y₁/x₂-x₁ (D.) (x-x₁)²+(y-y₁)²=r² (B.) (x₁+x₂ ∕₂, y₁+y₂ ∕₂). (E.) m=y-y₁/x-x₁ (C.) d=√(x₂-x₁)²+(y₂-y₁)²
Match the descriptions with the formulas. slope formula circle formula midpoint formula point-slope formula distance formula
(L2) Match the sentences with the correct words. locus of points circle noncollinear points axis of a cone
Match the sentences with the correct words. A(n) __________ is a set of points whose location satisfies a particular description. A(n) __________ is the locus of points in a plane that are equidistant from one point, called the center. Points that do not lie on the same straight line with other points are __________. The __________ is a segment that extends from the vertex of a cone to the center of the base.
(L4) Which is the product of the matrix? [1 0 3]×[1320-14-201]
[-5 3 5]
(L4) Which is the sum of the matrices? [-135-2]+[2-104]
[1252]
