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3 years ago

What is the equation of a line, in a slope-intercept form, that goes through the point (-12,7) with m= -(5/3)

1 answer:

alexandr1967 [171]3 years ago

8 0

Slope-intercept form : y-y₁=m(x-x₁)

Passes through (-12, 7)

Slope = -5/3

m = slope

Simply plug everything in :)

y - y₁ = m(x - x₁)

y - 7 = -5/3(x + 12)

Simplify.

y - 7 = -5/3x - 20

Add 7 to both sides.

y = -5/3x = -13

~Hope I helped~

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Step-by-step explanation:

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3 years ago

Simplify an expression for the perimeter of the rectangle. Please Helpp

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3 years ago

P³ = 1/8 please help me if anybody can .

ivanzaharov [21]

Answer:

$p= \dfrac{1}{2}$

Step-by-step explanation:

Given equation:

$p^3=\dfrac{1}{8}$

Cube root both sides:

$\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}$

$\implies p= \sqrt[3]{\dfrac{1}{8}}$

$\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:$

$\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad 1^a=1:$

$\implies p= \dfrac{1}{8^{\frac{1}{3}}}$

Rewrite 8 as 2³:

$\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}$

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1 year ago

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lana66690 [7]

Answer:

Step-by-step explanation:

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3 years ago

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Karisha drew pentagon A on a coordinate grid. She then performed a rotation followed by a dilation with scale factor 5 to produc

alex41 [277]

Answer:

Step-by-step explanation:

Rotation is a transformation that turns a figure about a fixed point. An object and its rotation image are the same shape and size, but the figures may be turned in different directions. So, rotation gives us two congruent pentagons.

Dilation is a transformation that produces an image that is the same shape as the original (similar to original), but is a different size. So, dilation gives us two similar pentagons.

A sequence of rotation and dilation produces pentagon that is similar to the initial, but not congruent.

In attached diagram you can see the pictorial representation:

pentagon FGHIJ is the rotation image of pentagon ABCDE
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3 years ago