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3 years ago

Tell whether the two expressions are equivalent 5(h+7); 5h+35

Mathematics

1 answer:

Goryan [66]3 years ago

6 0

Answer:

they are

Step-by-step explanation:

distribute the 5 into the parentheses. 5*h is 5h and 5*7 is 35. this results in 5h+35 which is equivalent

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Sides AB and BC are congruent. If BAC =22 , then ABC = °.

lina2011 [118]

ABC =22° because AB and BC are congruent

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3 years ago

Point A is at (2, -8) and point C is at (-4, 7).

Dahasolnce [82]

Answer:

(-2, 2)

Step-by-step explanation:

Given:

Point A is at (2, -8) and point C is at (-4, 7)

Difference of coordinates:

Δx = 2 - (-4) = 6
Δy = - 8 - 7 = - 15

The ratio of AB to AC is 2:1. So:

AB = 2*AC/3 and BC = AC/3

Then coordinates of point B should be 2/3 from the point A:

x = 2- 6*2/3 = 2 - 4 = -2
y = - 8 - (-15)*2/3 = -8 + 10 = 2

So point B has coordinates of (-2, 2)

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3 years ago

Evaluate the iterated integral. $$ \int\limits_0^{2\pi}\int\limits_0^y\int\limits_0^x {\color{red}9} \cos(x+y+z)\,dz\,dx\,dy $$

KengaRu [80]

$\displaystyle\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\int_{z=0}^{z=x}\cos(x+y+z)\,\mathrm dz\,\mathrm dx\,\mathrm dy=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(x+y+z)\bigg|_{z=0}^{z=x}\,\mathrm dx\,\mathrm dy$
$\displaystyle=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(2x+y)-\sin(x+y)\,\mathrm dx\,\mathrm dy$
$\displaystyle=\int_{y=0}^{y=2\pi}-\frac12\left(\cos(2x+y)-2\cos(x+y)\right)\bigg|_{x=0}^{x=y}\,\mathrm dx\,\mathrm dy$
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$=0$

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3 years ago

The rain that occurs after a volcano erupts would most likely be

natima [27]

Answer:Acid Rain

Step-by-step explanation:

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3 years ago

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A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to contribute an equal amount,

11Alexandr11 [23.1K]

Answer:

x=$5400:8

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3 years ago