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2 years ago

Work out m and c for the line: y = 3 − x

Mathematics

2 answers:

kvv77 [185]2 years ago

6 0

m= -1 , c=3

that is the answer for ur question. hope it helped

motikmotik2 years ago

5 0

Answer:

Step-by-step explanation:

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18) Find the area of the blue sector of the circle. Round to the nearest hundredth.

coldgirl [10]

I need a picture so i can help you out.

6 0

2 years ago

A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a distance R (> r) from th

jeyben [28]

Consider a circle with radius $r$ centered at some point $(R+r,0)$ on the $x$ -axis. This circle has equation

$(x-(R+r))^2+y^2=r^2$

Revolve the region bounded by this circle across the $y$ -axis to get a torus. Using the shell method, the volume of the resulting torus is

$\displaystyle2\pi\int_R^{R+2r}2xy\,\mathrm dx$

where $2y=\sqrt{r^2-(x-(R+r))^2}-(-\sqrt{r^2-(x-(R+r))^2})=2\sqrt{r^2-(x-(R+r))^2}$ .

So the volume is

$\displaystyle4\pi\int_R^{R+2r}x\sqrt{r^2-(x-(R+r))^2}\,\mathrm dx$

Substitute

$x-(R+r)=r\sin t\implies\mathrm dx=r\cos t\,\mathrm dt$

and the integral becomes

$\displaystyle4\pi r^2\int_{-\pi/2}^{\pi/2}(R+r+r\sin t)\cos^2t\,\mathrm dt$

Notice that $\sin t\cos^2t$ is an odd function, so the integral over $\left[-\frac\pi2,\frac\pi2\right]$ is 0. This leaves us with

$\displaystyle4\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}\cos^2t\,\mathrm dt$

Write

$\cos^2t=\dfrac{1+\cos(2t)}2$

so the volume is

$\displaystyle2\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}(1+\cos(2t))\,\mathrm dt=\boxed{2\pi^2r^2(R+r)}$

6 0

2 years ago

PLZZZZ HELLPPP MEEE GET ANSWER

nadya68 [22]

Answer:

<em>See above photograph</em>

Step-by-step explanation:

This is how your graph will look like with an x-intercept of [−5, 0] (will not see, according to the scale, but on my device, you can), and a y-intercept of [0, 50]. The way to figure out all the coordinates upon this scale is to simply create a y-x value chart. Plug in each input value [x-value] to get your output value [y-value]:

0|50

1|60

2|70

3|80

4|90

5|100

6|110

7|120

8|130

9|140

10|150

11|160

Then, you simply just draw your line based of this chart.

I am joyous to assist you anytime.

4 0

3 years ago

Determine the slope PLS HELP AND HURRRRRRYYYYYYYYYYYYY

levacccp [35]

Answer:

You see where ANY two intersection of the line touch the grid. Then you do the rise/run (y/x) method.

The answer is 3/4.

Because it rises 3 times and runs 4 times.

BRAINLIEST!!

7 0

2 years ago

Four-fifths of n plus the product of three and x

Reil [10]

Work: 4/5 of n
Plus (+)
Product (×) of 3 and x
Answer:
4/5n+3x

4 0

2 years ago