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3 years ago

Draw a line with the given slope through the given point. (3, -2) slope =-3

Mathematics

1 answer:

steposvetlana [31]3 years ago

4 0

The equation for this is y=-3x+7

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If the length of a rectangle is 4 more than the width and if the perimeter of the rectangle is 52, what is the width of the rect

Ymorist [56]

Answer:

Step-by-step explanation:

Perimeter is figured out by adding all 4 sides.

Width of 11 + width 11 + length 15 + length 15 = 52

And the length of 15 is 4 more than the width of 11

5 0

2 years ago

Consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the p

frutty [35]

Answer:

$y = 0.00587x +1986.406$

Step-by-step explanation:

Given that the population of a city increased steadily over a ten-year span. The following ordered pairs show the population x and the year y over the ten-year span in the form (x, y) for specific recorded years.

x y

2500 2001

2650 2002

3000 2004

3500 2007

4200 2011

Slope 0.005865485

Intercept 1986.406413

So regression line is

$y = 0.00587x +1986.406$

When population = 15000

$0.00587(17000)+1986.406\\=2074.389$

3 0

3 years ago

3/38-3/7<br> 2+1/35<br> 3/56+3/2

prohojiy [21]

Answer:

87/56

Step-by-step explanation:

Simplify the following:

3/56 + 3/2

Put 3/56 + 3/2 over the common denominator 56. 3/56 + 3/2 = 3/56 + (28×3)/56:

3/56 + (28×3)/56

28×3 = 84:

3/56 + 84/56

3/56 + 84/56 = (3 + 84)/56:

(3 + 84)/56

3 + 84 = 87:

Answer: 87/56

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28

Nataliya [291]

Assuming you mean

$5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t$

This ODE is linear in $y$ , and you can already contract the left hand side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t$

Integrating both sides with respect to $t$ yields

$5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt$
$5y\sin t=\dfrac13\sin^3t+C$
$y=\dfrac1{15}\sin^2t+C\csc t$

Given that $y\left(\dfrac\pi2\right)=9$ , we have

$9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2$
$9=\dfrac1{15}+C$
$C=\dfrac{134}{15}$

so that the particular solution over the interval is

$y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t$

6 0

3 years ago

Ali plans to buy 6 softballs and 3 soccer balls for the teen club. If he has a coupon for $8 off his purchase , how much will he

Varvara68 [4.7K]

Answer:

c=(6x+3y)-8

Step-by-step explanation:

3 0

2 years ago