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2 years ago

Need help with question 5 please

Mathematics

1 answer:

tatyana61 [14]2 years ago

4 0

Answer:

-1/6

Step-by-step explanation:

To find the slope we use

m = (y2-y1)/(x2-x1)

= (-4-8)/( 1-3)

= -12/-2

We want a line perpendicular, so we need the negative reciprocal

- (1/6)

-1/6

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Differential Equations Problem

fgiga [73]

Answer:

$y=\frac{t^2e^{2t}}{3}+ce^{2t}$

Step-by-step explanation:

We have given differential equation $\frac{dy}{dt}-2y=t^2e^{2t}$

We know that linear differential equation is given by $\frac{dy}{dt}+Py=Q$

On comparing with standard equation P = -2 and Q= $t^2e^{2t}$

Now integrating factor $IF=e^{-Pdt}$

$IF=e^{-2dt}=e^{-2t}$

Now solution of differential equation is given by

$y\times IF=\int\ IF\times Q\ dt$

$y\times e^{-2t}=\int\ e^{-2t}\times t^2e^{2t}\ dt$

$y\times e^{-2t}=\frac{t^2}{3}+c$

$y=\frac{t^2e^{2t}}{3}+ce^{2t}$

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3 years ago

Find the solution to the system of linear equations.

natali 33 [55]

Answer:

x = -1 y = 2

Step-by-step explanation:

Notice that the coefficients of x are opposites of each other. That makes the problem so much easier to solve. All you have to do is add the two equations and the x terms will be eliminated.

2x - 4y = -10

- 5y = -10

y = 2 Substitute y = 2 into the first equation. 2x - 4(2) = -10

2x - 8 = -10

2x = -2

x = -1

It is always a good idea to check your results into the equations to see if they satisfy the equations.

6 0

2 years ago

Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.

GrogVix [38]

Answer:

$A=\$150(1.05)^{t}$

Step-by-step explanation:

we know that

The compound interest formula for this problem is equal to

$A=P(1+r)^{t}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods in years

in this problem we have

$P=\$150\\ r=5\%=0.05$

substitute in the formula above

$A=\$150(1+0.05)^{t}$

$A=\$150(1.05)^{t}$

8 0

2 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!! I'm NOT about to write all that out again. THANK YOU!!!!

NikAS [45]

Answer:

I am not able to see yo pics. sorry

Step-by-step explanation:

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2 years ago

Which value is a solution to the inequality x – 4 > 15.5?

Alex Ar [27]

Answer:

x>19.5

Step-by-step explanation:

Let's solve your inequality step-by-step.

x−4>15.5

Step 1: Add 4 to both sides.

x−4+4>15.5+4

x>19.5

Answer:

x>19.5

8 0

2 years ago