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valentina_108 [34]
3 years ago
13

If a line has a slope of -4, what is the y-intercept if it also passed through the point (-2, 7)?

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

i dont get it

Step-by-step explanation:

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100 POINTS AND BRAINLIEST
zysi [14]

Answer:

8 square units and \frac{40}{3} square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor \frac{1}{3}, then

\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.

2. Triangles ABC and DBE are similar with scale factor \frac{2}{3}, then

\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.

3. Thus, the area of the quadrilateral DFGE is

A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.

and the area of the quadrilateral ADEC is

A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.

4 0
3 years ago
Read 2 more answers
Please, my whole grade depends on this question!!!
anastassius [24]

Answer:

y = 14.4x - 18.4

Step-by-step explanation:

This is the equation for the regression line, I hope this helps!

4 0
3 years ago
The period of a function is 4 pi how many cycles of the function occur in a horizontal length of 12 pi
eduard

Answer:

3 cycles

Step-by-step explanation:

in one period, you have one full cycle

because the period for this function is 4pi, you have one cycle per 4pi

if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)

hope this helps!

3 0
3 years ago
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Evaluate the triple integral. 5x dv, where e is bounded by the paraboloid x = 7y2 + 7z2 and the plane x = 7. e
Mrac [35]

Convert to cylindrical coordinates:

x=x

y=r\cos\theta

z=r\sin\theta

Then E is the set of points (r,\theta,x) such that 0\le r\le1, 0\le\theta\le2\pi, and 7y^2+7z^2\le x\le7 or 7r^2\le x\le7.

Now

\displaystyle\iiint_E5x\,\mathrm dV=5\int_0^{2\pi}\int_0^1\int_{7r^2}^7xr\,\mathrm dx\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{245\pi}3}

4 0
3 years ago
HI I NEED HELP IVE BEEN DOING HOMEWORK FOR 6 HOURS ummmmm anyways, how do i express this (y^3•y^6 - in picture) in exponential f
LUCKY_DIMON [66]

y^3 = y * y * y

y^6 = y * y * y * y * y * y

6 0
3 years ago
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