Given the two planes below, provide a geometric interpretation of how they interact. Explain how you know. How many solutions are there? 2x + Зу - z %3D14 x+ 6у + 2z 3 -6

Q: Use the method of substitution to solve the system.

A: Solution: Consider the given system of equations is: y2 - 4x2 = 4       ....(1)9y2 + 16x2 = 140…

Q: Find the values of w, x, y, z of the equations 4w+8x-8y-8z= 12 бw+12x-20y+9z %3D6 |

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Q: Use back-substitution to solve the triangular system. 4x – 4y + z = y + 5z = 17 z = 4 (х, у, 2) 3D

A: The values are:-

Q: Use the back-substitution to solve the triangular system.

A: Use the back-substitution to solve the triangular system.       3x-3y+z=0y+4z=10z=3

Q: At the zoo, the lion exhibit has the following vertices A(0,100), B(70,100), C(100,30) and D(0,30).…

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Q: ABCD is a trapezoid. Find the value of x. * B. 3x° (5x - 20)° C 10 20 25 30 35

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Q: Solve the system. Give your answer as (x, y, z) 5а + 5у — 2х 3D 13 2x + 3y – 4z = - 14 5х + 3у — 52…

A: The given system of equations are 5x+5y-2z=13                    ...(1)2x+3y-4z=-14…

Q: Reflect the square about the line y = x (include the image formed in the solution that you will be…

A: We have to find reduction of square about y=x. The rule for a reflection in the line y=x is…

Q: In the diagram of ATUV , WX is parallel to TV with UW =16 and TW = 6. It is known that XV is 6 units…

A: a= length of UX a-6=length of XV here triangles UWX and UTV are similar triangles so we can write…

Q: Solve the system of equations below. x² + y? = 16 %3D y = x? – 4

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Q: Refer to this quadrilateral (whose diagonals are drawn for you) for #3 a-c. 8(1, 3) c) Are the…

A: the coordinates of the diagonal AC are -6,2 and 6,-2 find the slope of the both the diagonals using…

Q: Using the intercept method, complete the table of values for the following systems of line…

A: For the given system of equations         y = 2x - 3 &     y = -2x + 4    Using the intercept…

Q: VW- A. WX- 19 Z. YW- ZX - 31 VX-

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Q: 6. Andrea loves Geometry so much that she wants her birthday cake this year to be in the shape of a…

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Q: Find all real solutions (x, y) of the system. a? – y = 4 a2 + y? = 4 Preview

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Q: V) through (-1,2) and perpendicular to 3x+ 4y = 12

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Q: MNOP is a rhombus. Find MP. M 9x - 77 N 3x +7

A: We will use the fact that all the sides of a rhombus are of equal length.

Q: | 25у? — 16х? %3D 400 9y? – = 4x² 36

A: We have25y2−16x2=400     ............19y2−4x2=36          .............2

Q: Solve the system: x + y + z = a x2 + y? + 22 = a? = a² x3 + y3 + 23 = a³

A: Solve the system:  x+y+z=a  x2+y2+z2=a2  x3+y3+z3=a3

Q: Find the values of x and y in the parallelogram. D. y A 24 x-2 11 B a x = 11, y= 26 O b x= 24 y 13 x…

A: To determine the value of x and y.

Q: Use the diagram. 2 6. 8 x -2 -2 B (4,-1) A (-2,-3) -6 Segment AB is translated by the rule (x, y) (x…

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Q: The figure below is made up of two quadrilaterals. Find the values of z, y, and z. 137° 22 y%3D 23D

A: Figure ABCD represents a kite LA =LC=1370o Then LA+LB+LC+LD =360 o 137+x+137+22=360o X+296=360…

Q: How can you easily find the coordinates of R? Explain your thinking AND provide your answer. R 70°…

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Q: olve the following system of equations. 3x + 3y = 87 %3D 4x? - 4y = -84 olution(s): Enter vOur…

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Q: 4. P is the point of concurrency for the perpendicular bisectors of AABC. AP = 6x +2, BP = 8x – 14.…

A: The point of concurrency for the perpendicular bisectors is also known as the circum-centre.  So,…

Q: Which cube root equation shows a y-axis reflection, a vertical stretch, a left horizontal…

A: topic - function and translations

Q: The number of variable A plane in R³ is a two The dimension of the

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: The area of a rhombus is 216 square inches and one of the diagonals measures 24 inches. Find the…

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Q: Martha is sewing a rectangular quilt and the width is nine times longer than the length. The…

A: Given for the Rectangular Quilt,                                                 W = ql  → (1)…

Q: Find the value of the variable in the rhombus below. A. 7x C 5x + 4

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Q: If the trapezoid below is reflected across the x-axis, what are the coordinates of B? do t -8 -6 At…

A: If any point (x,y) is reflected over the x-axis then the coordinates of the reflected point will be…

Q: For what values of the variables must ABCD be a parallelogram? 12. 3x+3 B Dy-3y (2x + 4)" 6x - 18

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Q: Use substitution to solve the system. y = 3x+9 %3D 4.x+5y = 7 D= %3D

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Q: Robert wants to fence his rectangular lot. If the length of the lot is 3 meters longer than its…

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Q: Use the back-substitution to solve the triangular system.

A: Given: x+2y +z = 7-y +3z = 92z = 6 To solve: The given triangular - system of equations by using…

Q: Solve the system below. Parameterize the solution set. - 2х + Зу + 7z – 4x + 7y + 19z 11 6x 6y 6z -…

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Q: ABCD is a parallelogram. Find the value of w. 2w + 21 A (3x – 9)° 4w + 5 (2x + 31)°

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Q: A 4x+3 7x-2 ABCD is a parallelogram. Find the value of x. Select the correct response: 3 5 3 5

A: We can find the value of x as below.

Q: Use back-substitution to solve the triangular system. x + y – 3 z = 4 y – 3z = 7 z = -1

A: we will substitute the value of z in equation to find the value of y  similarly we will find value…

Q: 2. For what values of x and y is quadrilateral ABCD a parallelogram? Explain your reasoning. (3x-…

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Q: is. Translate the equation below into standard form using completing the square. Then identify the…

A: To translate the equation of circle by completing the square method and identify the radius and…

Q: 3. Julio graphed a point R on the coordinate grid. R 4 3. 2 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 Which…

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Q: Three of the coordinates of a square ABCD are A(3,2), C(1,-2) and D(0,1). What is the y-coordinate…

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Q: For what values of the variables must ABCD be a parallelogram? 9. A. 4x - 9 2y - 3 /2x+1 3x + 3

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Q: The intersection of the two planes given by the r. = 5 and () 4 r. 4 = 8 2

A: We have ,  equation of two planes are ,  r.221=5 .............(1)and r.442=8 .........(2)

Q: What is the axis of symmetry of y=z² - 5z? O z= 2 O z= O z= O z= 2 5 52 12

A: To find the axis of symmetry.

Q: Francisco needs the three pieces of glass shown below to complete a stained glass window. The…

A: For calculating length of slab. We must know that the all shapes will be cut from the glass slab ,…

Q: Solve the system of equations for the intersections of the two curves S 4y? – 152? = 16 - %3D 2x…

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Q: (2х + 16)° (3х - 2)°

A: x = 18   explanation is given in below step

Q: Use the method of substitution to solve the system.

A: Given that : The system, 3x - 4y + 20 = 0  3x + 2y + 8 = 0