All categories

2 years ago

Graph the line that represents this equation:y+2=1/2(x+2)

Mathematics

2 answers:

VARVARA [1.3K]2 years ago

8 0

Answer:

Step-by-step explanation:

bezimeni [28]2 years ago

7 0

Answer:

Here's what I get.

Step-by-step explanation:

1) Solve the equation for y

y + 2 = ½(x + 2)

y = ½(x + 2) - 2

(2) Create a table containing a few values of x and y

I chose x = -2, 0, and 2.

$\begin{array}{rr}\mathbf{x} & \mathbf{y}\\-2 & -2\\0 & -1\\2 & 0\\\end{array}$

(3) Plot your points

Draw dots at the coordinates of each point.

(4) Draw the graph

Draw a smooth line through the points.

Extend the lines in both directions to the edges of the plot area.

Your graph should look something like the diagram below.

You might be interested in

Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the

lukranit [14]

Answer:

D) $15.99 +$0.50n> $20

Step-by-step explanation:

3 0

2 years ago

What 1 thruogh 100 added up them divided

Marina CMI [18]

We can use the sum of an aritmetic sequence
the sum from n=1 to n=r when the first term is a1 and the nth term is an is
$S=\frac{n(a_1+a_n)}{2}$
first term is 1
last term is 100
there are 100 terms so n=100

so the sum is $S=\frac{100(1+100)}{2}$
$S=(50)(101)$
S=5050
now you want us to divide by 10
5050/10=505

fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up

answer is 505
the result is 505

5 0

2 years ago

Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li

Sophie [7]

Consider the closed region $V$ bounded simultaneously by the paraboloid and plane, jointly denoted $S$ . By the divergence theorem,

$\displaystyle\iint_S\mathbf f(x,y,z)\cdot\mathrm dS=\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV$

And since we have

$\nabla\cdot\mathbf f(x,y,z)=1$

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have

$\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=2}^{z=3-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=1}r(3-r^2-2)\,\mathrm dr$
$=\dfrac\pi2$

Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by $D$ , we have

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS$

Parameterize $D$ by

$\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+2\,\mathbf k$
$\implies\mathbf s_u\times\mathbf s_v=u\,\mathbf k$

which would give a unit normal vector of $\mathbf k$ . However, the divergence theorem requires that the closed surface $S$ be oriented with outward-pointing normal vectors, which means we should instead use $\mathbf s_v\times\mathbf s_u=-u\,\mathbf k$ .

Now,

$\displaystyle\iint_D\mathbf f\cdot\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(-u\,\mathbf k)\,\mathrm dv\,\mathrm du$
$=\displaystyle-4\pi\int_{u=0}^{u=1}u\,\mathrm du$
$=-2\pi$

So, the flux over the paraboloid alone is

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-(-2\pi)=\dfrac{5\pi}2$

6 0

2 years ago

The length of the segment indicated round your answer to the nearest 10th if nessesary

exis [7]

Pythagorean Theorem
x^2 = 15.7^2 -7.8^2
x^2 = 185.65 
x = 13.6253440324 
Answer is C

3 0

3 years ago

Lawrence bought 2/3 pound of roast beef. He used 3/4 of it to make a sandwich. How much roast beef did Lawrence use for his sand

laila [671]

You multiply 3/4 by 2/3 it equals 2/4 which equals 1/2. The answer is 1/2.

3 0

2 years ago

Read 2 more answers