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2 years ago

Write the expression as a product of two factors. (1+7) + (1+7) + (1+7

Mathematics

1 answer:

Alex777 [14]2 years ago

7 0

Answer:

down below

Step-by-step explanation:

3 x (1+7)

3 x 8

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0.8344 rounded to the nearest thousandth would be?

stiks02 [169]

Answer:

Look at the place after the thousandths, it is less than 5.

0.8344

So don't add +1 to the thousandths place.

Rounded to the nearest thousandths would be:

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3 years ago

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The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to

Firdavs [7]

Rewrite the boundary lines y = -1 - x and y = x - 1 as functions of y :

y = -1 - x ==> x = -1 - y

y = x - 1 ==> x = 1 + y

So if we let x range between these two lines, we need to let y vary between the point where these lines intersect, and the line y = 1.

This means the area is given by the integral,

$\displaystyle\iint_T\mathrm dA=\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy$

The integral with respect to x is trivial:

$\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy$

For the remaining integral, integrate term-by-term to get

$\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}$

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line y = 1 and (0, -1)), so its area is 1/2*4*2 = 4.

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3 years ago

If the scale is 1 in to 3 ft, and the scale drawing shows a length of 4 inches, what is the length of the real world figure

Orlov [11]

Answer:

Step-by-step explanation:

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3 years ago

-2(3y - 6) + 4(5y - 8) = 92

Whitepunk [10]

Answer:

y = 8

Step-by-step explanation:

$-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8$

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2 years ago

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A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.10, a 2-pound bag costs $1.92, and a 3-pound b

Mashcka [7]

$1.10 per pound for the 1-pound bag.
$0.96 per pound for the 2-pound bag.
$0.92 per pound for the 3-pound bag.

As the quantity of sugar increases, the unit cost decreases.

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3 years ago