2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

Q: What is the equation of the line passing through the point (-2,5) that is perpendicular to the line…

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Q: Write an equation to match the graph with coordinates (3,1), (2,2), (1,4), (0,8)

A: Solution of given equation is written in below steps.

Q: Need help figuring out the intercepts and test for symmetry. y= x^4 - 8x^2 -9

A: In order to find the y-intercepts, keep x=0 and to find the x-intercept, keep y=0. Let’s see, when…

Q: A quadratic surface has the equation x2+2y2+2z2+2yz = 1. Write the equation in standard form.…

A: To write the quadratic surface equation \( x^2 + 2y^2 + 2z^2 + 2yz = 1 \) in standard form and…

Q: Explain how to graph an equation in the rectangular coordinate system.

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Q: How to graph the equation y=3x+2

A: Given that the equation is

Q: write the equation of the graph given the x intercepts -4 and 9.

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Q: Find the equation of the sphere that has the line segment joining (-1,-8,-6) and (-1,2,-6) as a…

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Q: E. Write an equation with a graph that looks like y = |x|, with the point of the V-shaped graph at…

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Q: Find the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

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Q: Write the equation 4x² - 25y²-2² - 100 = 0 in standard form. Draw a sketch of its graph and name the…

A: Please see the below pictures for detailed solution.

Q: Describe the process for finding the x-intercept and the y-intercept of a graph algebraically.

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Q: Write the equation in vertex form of a parabola with zeros of 5 and 3 and goes through the point…

A: Here we have to find the equation of parabola

Q: 3x – 4 Find the asymptotes (if any) and express them as linear equations: g(x) = x+2

A: use the definition of horizontal and vertical asymptote.

Q: Write an equation of a horizontal line that passes through the point ( 3 , 7)

A: We have to find equation of horizontal line which passes (3,7)