3 years ago

Write the slope-intercept-form of an equation that passes through the point (-2,3), and is parallel to y=-x+5.

Mathematics

1 answer:

erastovalidia [21]3 years ago

6 0

Answer:

Step-by-step explanation:

y - 3 = -(x + 2)

y - 3 = -x - 2

y = -x + 1

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What is the distance between (-4,-8) and (-4,0) round to the nearest tenth if needed

mixer [17]

Answer:

Step-by-step explanation:

Distance between x coordinates: 0 units

Distance between y coordinates: 8 units

sqrt(0^2+8^2)

8 units

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3 years ago

Rectangle fence two sides will have lengths o 28 feet each and Ricky has 100 feet of fencing what is the greatest possible lengt

liraira [26]

Answer: 22

Step-by-step explanation: Perimeter of a rectangle is 2H + 2B = P

if each side has 28 feet then 28* 2 = 56. We take 100 - 56 = 44. Then we take 44/2 to find one remaining side = 22.

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3 years ago

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

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3 years ago

Mary ate 1 4/7 pies, while fred ate 1 4/7 pies. in total . how much pie did these two eat?

nydimaria [60]

Hi there, 1+1=2 and 4/7+4/7=8/7. Therefore, Mary and Fred ate 2 8/7 of the pie.

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3 years ago

Read 2 more answers

A square has side length of 5 cm. The square was changed using a scale factor of 0.6.

Aliun [14]

So the side length became 0.6*5 = 3 cm.

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3 years ago