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zhuklara [117]
3 years ago
12

Expand and simplify (x+5)(x-2)

Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Answer:

x² + 3x - 10

Step-by-step explanation:

Each factor in the second factor is multiplied by each term in the first factor, that is

x(x - 2) + 5(x - 2) ← distribute each parenthesis

= x² - 2x + 5x - 10 ← collect like terms

= x² + 3x - 10

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =
Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u

So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
=-2\pi a^2(\cos\pi-\cos 0)
=-2\pi a^2(-1-1)
=4\pi a^2

as expected.
6 0
3 years ago
What is the equation of the function that is graphed as line a?
Ede4ka [16]
The answer would be y = 1/3x - 1. Your y-intercept is -1 and your slope is 1/3x. I hope this helps love! :)
4 0
3 years ago
4 1/2 ounces per 3/4 miles<br> _____ ounces per 1 mile
adelina 88 [10]

Answer: 6

Step-by-step explanation:

To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.

\frac{3}{4}×\frac{4}{3} =1

We need to multiply the 4 1/2 ounces by 4/3 too

4\frac{1}{2}×\frac{4}{3} =6

4 1/2 ounces per 3/4 miles

6 ounces per 1 mile

5 0
2 years ago
Read 2 more answers
Find the value of . A. 8 B. 32 C. 192 D. 1,536
Tamiku [17]

Answer:

8

Step-by-step explanation:

plz brainliestt

6 0
3 years ago
Read 2 more answers
I need help on my math homework
xxTIMURxx [149]

Answer: the first one is True and the second one is false

Step-by-step explanation:

3 + 5x = 23

so replace x with 4 you get 3 + 5 * 4 = 3 + 20 = 23

this is equal to 23 so it is true

2x - 6 = 9

do the same you get

2 * 8 - 6 = 9

16 - 6 = 10

the answer is 10 not nine therefore it is false

7 0
3 years ago
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