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2 years ago

What are the x- and y-intercepts of the rainbow? Explain what each intercept represents ( parabola y=-x2+36

Mathematics

1 answer:

KengaRu [80]2 years ago

4 0

Answer:

Step-by-step explanation:

$y=-x^{2} +36$

can be factored out as (-x-6)(x-6)

x-intercepts are: +6 and -6

represents the two ends of the rainbow

y-intercept: y=36

represents the highest point of the rainbow

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The sum of 4 times a number and 2 equals 8

NikAS [45]

Answer:

1.5 or 3/2

Step-by-step explanation:

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3 years ago

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2 years ago

under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

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