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3 years ago

Please help me solve 8x+2y=32 and 10x-5y=-20

Mathematics

1 answer:

Tju [1.3M]3 years ago

7 0

Answer:

(2,8)

x = 2

y = 8

Step-by-step explanation:

The steps are shown in the picture

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The number of calories you burn depends on your weight. A 160-pound person burns 237 calories during 30 minutes of tennis. Find

larisa [96]

Answer:

A 190-pound person would burn 285 calories at the same rate.

Step-by-step explanation:

Calories burn depends on the weight

Weight of first person = 160

Calories burn for 160 pounds in 30 mins = 237

Calories burn rate for 1 pound in 30 mins = $\frac{237}{160}$ = 1.5

Calories burn for 190 Pound person would be:

Weight of second person = 190

Calories burn for 190 pounds in 30 min:

As the burn rate of calories is same for the two persons:

= rate × weight

= 1.5 * 190

= 285 calories

5 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

WILL GIVE BRAINLIEST TO BEST RESPONSE!

Monica [59]

You are given the X value, replace x with 2 in the first equation to solve for y:

y=2x +3

y = 2(2) +3

y = 4+3

y = 7

Now replace y with 7 and x iwth 2 in the second equation and solve for k:

y = -x +k

7 = -2 +k

Add 2 to both sides:

9 = k

so k = 9

The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.

K = 9

5 0

4 years ago

In order to be considered a semi conductor the material must?

Rashid [163]

In order to be considered a semi-conductor the material must have insulator and conductor properties, So the answer would be A,

3 0

3 years ago

Read 2 more answers

There are 88 seats in a theater the seating in the theater is split into 4 identical sections. Each section has 14 red seats in

viktelen [127]

14 red 8 blue
88/4 =22
22-14 = 8
I think this if correct

3 0

3 years ago