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3 years ago

Graph the second equation to find the solution of the system of equations.

Mathematics

2 answers:

STatiana [176]3 years ago

6 0

Answer:

So the point of intersection would be -x=2x+6

and then we'll subtract 2x on both sides and get -3x=6

this will result in x=-2

Then we'll substitute that into y=-x, so y=2

Therefore the point of intersection is (-2,2)

Hope I helped, have a nice day :)

dsp733 years ago

3 0

Answer: (-2,2)

Explanation: I plugged it into a graphing calc!

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The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown i

Yakvenalex [24]

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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brainly.com/question/968894

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7 0

2 years ago

A bag contains 3 red,4 green, and 5 blue marbles. Three marbles are drawn at random. What is the probability that all three are

Reptile [31]

Answer:

1/22

Step-by-step explanation:

assuming that the marbles drawn are not replaced:

P(red) = 3/12 or 1/4

P(green) = 4/11

P(blue) = 5/10 or 1/2

multiply the probabilities together:

1/4 x 4/11 x 1/2 = 1/22

8 0

2 years ago

Decompose 2/6 into 4 equal lengths

anyanavicka [17]

I'm not 100% sure, but I'm pretty sure it's 1/12, 1/12, 1/12, 1/12

4 0

3 years ago

What equation in slope intercept form represents the line that passes through the points (4,6) and (8,0)

madam [21]

Answer:

The slope formed using points (4,6) and (8,0) is $\dfrac{3}{2}$

Step-by-step explanation:

Given as :

The points are (4,6) and (8,0)

( $x_1$ , $y_1$ ) = (4,6)

( $x_2$ , $y_2$ ) = (8,0)

Let The slope that formed = m

So,

slope = m = $\dfrac{y_2 - y_1}{x_2 - x_1}$

m = $\dfrac{0 - 6}{8 - 4}$

Or, m = $\dfrac{6}{4}$

∴ m = $\dfrac{3}{2}$

So, The slope formed using points = m = $\dfrac{3}{2}$

Hence , The slope formed using points (4,6) and (8,0) is $\dfrac{3}{2}$ Answer

6 0

3 years ago

A sphere of radius r is cut by a plane h units above the equator, where

Anika [276]

Consider the top half of a sphere centered at the origin with radius $r$ , which can be described by the equation

$z=\sqrt{r^2-x^2-y^2}$

and consider a plane

$z=h$

with $0$ . Call the region between the two surfaces $R$ . The volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates will help make this computation easier. Set

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

Now, the volume can be computed with the integral

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

You should get

$\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)$

5 0

3 years ago