3 years ago

Which expression is equivalent to 36÷3+3 ?

Mathematics

2 answers:

serious [3.7K]3 years ago

5 0

None of the above
these answers arent equal to the question

Luba_88 [7]3 years ago

4 0

None of them work, one of them must equal to 6

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Find the surface area of the prism 9mm 12mm 8mm

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We are asked in this problem the surface area of the prism given the dimensions: <span>9mm by 12mm by 8mm. Surface area is the sum of the areas of each face of the prism. The formula for surface area is 2*lw+2*lh+ 2*wh. In this case, upon substitution, SA = 2*9*12+2*9*8+2*12*8 equal to a total of 552 mm2. </span>

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3 years ago

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Marcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers, On Sunday, she walked 3 kilometers,600 meters. How man

goblinko [34]

Answer:8.5km

Step-by-step explanation:

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2 years ago

How many solutions does this system have?

Sunny_sXe [5.5K]

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Step-by-step explanation:

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3 years ago

Evaluate the integral ∫2−1|x−1|dx

defon

I think you might be referring to the definite integral,

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx$

Recall the definition of absolute value:

$|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x$

Then $|x-1|=x-1$ if $x\ge1$ , and $|x-1|=1-x$ is $x$ . So spliting up the integral at <em>x</em> = 1, we have

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx$

The rest is simple:

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}$