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2 years ago

Please helppp!! I have to find the slope of the blue line that is in the graph!!

Mathematics

1 answer:

Travka [436]2 years ago

5 0

Slope = 4/5 because the formula for slope is rise/run. count the x and y units point one and point two are away from each other.

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NEED HELP ASAPPP

Serjik [45]

The answers is a because the radius must be 5

6 0

3 years ago

Read 2 more answers

Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

6 0

3 years ago

Maria put trim around a banner that is the shape of a triangle. each side is 22 inches long. maria has 1/2 foot of trim left. wh

marissa [1.9K]

Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.

6 0

3 years ago

Write the value of 50 times the sum of 64 and 36

Vinil7 [7]

E Value of the Expression a. 50 times the sum of 64 and 36. 50 x(64+36)

8 0

2 years ago

Read 2 more answers

Please hurry.-. and if u can give all answers to the lesson

Eduardwww [97]

I think that You add all the ages and then divide by how many people you have so
100:10 = 10 is the mean age I guess?

8 0

3 years ago