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3 years ago

Find the quadratic function that has roots of -9 and 3 and a vertex of (-3,-36)

1 answer:

6 0

Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99

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3 years ago

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NemiM [27]

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are $(-1,-2)$ and $(2,-1)$ .

The length of the side RS is equal to the distance between point R and S.

RS $=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

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3 years ago

Read 2 more answers

What is the slope of (-7,-1) and (3,8)? Pls show your work

kondor19780726 [428]

Answer:

$m=\frac{9}{10}$

Step-by-step explanation:

To find the slope between any two points, we can use the following slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:

$m=\frac{8-(-1)}{3-(-7)}$

Evaluate:

$m=\frac{9}{10}$

Therefore, the slope between the two points is 9/10.

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2 years ago

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Answer:

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3 years ago

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God bless....I hope the explanation is useful.

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2 years ago