Mathematics, 27.06.2019 20:30 candancejc8942

Based on the equations of the parabolas, identify each parabola whose focus and vertex lie in different quadrants

Based on the equations of the parabolas, identify each parabola whose focus and vertex lie in differ

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Answer from: rosie20052019

Correct choices are and

Step-by-step explanation:

Consider all options.

1. Simplify the equation of parabola

Vertex coordinates are (1,3), p=4, then focus coordinates are (1,1) (parabola branches go down in y-direction). This option is false, because vertex and focus lie in Ist quadrant.

2. Simplify the equation of parabola

Vertex coordinates are (3,-2), p=8, then focus coordinates are (-1,-2) (parabola branches go left in x-direction). This option is true, because vertex lies in IVth quadrant and focus lies in 3rd quadrant.

3. Simplify the equation of parabola

Vertex coordinates are (9,-5), p=18, then focus coordinates are (0,-5) (parabola branches go left in x-direction). This option is false, because vertex lies in IVth quadrant and focus lies on the y-axis.

4. Simplify the equation of parabola

Vertex coordinates are (-4,-7), p=16, then focus coordinates are (-4,1) (parabola branches go up in y-direction). This option is true, because vertex lies in 3rd quadrant and focus lies in 2nd quadrant.

5. Simplify the equation of parabola

Vertex coordinates are (-5,-2), p=8, then focus coordinates are (-1,-2) (parabola branches go right in x-direction). This option is false, because vertex and focus lie in 3rd quadrant.

6. Simplify the equation of parabola

Vertex coordinates are (-5,5), p=12, then focus coordinates are (-5,-1) (parabola branches go down in y-direction). This option is true, because vertex lies in 2nd quadrant and focus lies in 3rd quadrant.

Answer from: Quest

594 square inches

step-by-step explanation:

vote !

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

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Based on the equations of the parabolas, identify each parabola whose focus and vertex lie in differ...

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