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2 years ago

[ please help! ] The graph below shows a line segment PQ.

Mathematics

1 answer:

Tpy6a [65]2 years ago

4 0

Answer:

Slope of the line segment PQ is 1/2.

Step-by-step explanation:

We are given with a line connecting two points P and Q.

The coordinates of P are (4,4) and the coordinates of Q are (-2,1).

Slope of line joining two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is given by the formula $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Hence the slope of the line PQ is $\frac{1-4}{-2-4}=\frac{-3}{-6}= \frac{1}{2}$

Therefore correct option is 'C' that is 1/2.

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What the answer and show steps

Ostrovityanka [42]

2/ 2/3 *-6 *5 /-3/4
1/2*2/3=2/6= 1/3
1/3 * -6 * 5 / -3/4
1/3* -6= -2
-2*5 / -3/4
-2*5= -10
-10 / -3/4 = -1/10 * -3/4 = 3/40

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2 years ago

Factor -7x3 + 21x2 + 3x - 9 by grouping. What is the resulting expression?

irga5000 [103]

Answer:

$(x-3)(-7x^2+3)$ is the resulting expression after grouping

Step-by-step explanation:

Given:

$-7x^3+21x^2+3x-9$

Now taking common $-7x^2$ from 1st 2 numbers and and 3 common from last we get

$-7x^2(x-3)+3(x-3)$

Now taking x-3 common from both numbers we get

$(x-3)(-7x^2+3)$ which is the final equation after grouping

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3 years ago

Olivia has an average score 90 on her five French tests if she earns a score of 98 on the sixth test what will he average score

SVETLANKA909090 [29]

Answer:

91.33

Step-by-step explanation:

90x5=450, add 98 to get 548. Since there are 6 tests, divide 548 by 6 and you get 91.33

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3 years ago

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

2 years ago

A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually.

Ghella [55]

A) A=500(1+0.015)^t
b)800=500(1.015)^t
800/500=1.015^t
t=log(800/500)/log(1.015)
t=31.6 years

3 0

3 years ago