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2 years ago

Simplify by subtracting 2 2 (x +3x-4)-(2x -5x+6)

Mathematics

1 answer:

exis [7]2 years ago

7 0

Answer:

$=-x^2+8x-10$

Step-by-step explanation:

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=x^2+3x-4-\left(2x^2-5x+6\right)$

$Simplify.$

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arlik [135]

Answer:

cos X = $\frac{5}{13}$

Step-by-step explanation:

simplify 15/39

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2 years ago

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point is B is on AC, what us the length of AB if AC=22 and BC=13? Please help me!, I'm falling in math class!!

den301095 [7]

Answer:

Step-by-step explanation:

There are two answers to this.

The order is ACB. That means that B is beyond C.

In which case AB = AC + BC

AB = 22 + 13

AB = 35

The order is ABC (which means that B is between A and C.

AB = AC - BC

AB = 22 - 13

AB = 9

Please don't ask me what the answer is. The question does not make it clear enough to give you one answer. I do suggest you draw a diagram to show both possibilities. Your teacher will likely applaud you for poking holes in the question.

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2 years ago

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Find the mass of the triangular region with vertices (0, 0), (3, 0), and (0, 1), with density function ρ(x,y)=x2+y2.

ololo11 [35]

Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region $\mathcal T$ by computing the double integral of the density function over $\mathcal T$ :

$\mathrm{mass}=\displaystyle\iint_{\mathcal T}\rho(x,y)\,\mathrm dx\,\mathrm dy$

The boundary of $\mathcal T$ is determined by a set of lines in the $x,y$ plane. One way to describe the region $\mathcal T$ is by the set of points,

$\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}$

So the mass is

$\mathrm{mass}=\displaystyle\int_{x=0}^{x=3}\int_{y=0}^{y=1-x/3}(x^2+y^2)\,\mathrm dy\,\mathrm dx$

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$=\displaystyle\int_{x=0}^{x=3}\left(x^2\left(1-\frac x3\right)+\frac{\left(1-\frac x3\right)^3}3\right)\,\mathrm dx$

$=\displaystyle\frac1{81}\int_0^3(27-27x+90x^2-28x^3)\,\mathrm dx=\frac52$

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3 years ago

Which mixed number is equvilent to thevimproper fraction 23/6

Nikitich [7]

6 goes into 23 - 3 times

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