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3 years ago

Please show all work and not just the answers. Please help ASAP!!!!!

Mathematics

1 answer:

BigorU [14]3 years ago

8 0

9514 1404 393

Answer:

a) x = 14

b) NP = 2 2/9; NL = 2 7/9

Step-by-step explanation:

a) The similarity statement tells you that angle P and angle L have the same measure:

angle L = angle P

3x +18 = 60

x + 6 = 20 . . . . . divide by 3

x = 14 . . . . . . . . . subtract 6

b) The proportional segments are ...

PN/NQ = LN/NM

y/3.2 = (5 -y)/4

5y = 4(5 -y) . . . . . multiply by 16

9y = 20 . . . . . . . . add 4y

y = 20/9 = NP

5 -y = (45 -20)/9 = 25/9 = NL

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3 years ago

Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

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Put C into equation

Solution:

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$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

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goblinko [34]

<h3>Answer:</h3><h3>x=−8</h3><h3 />

Step-by-step explanation:

<h3>Let's solve your equation step-by-step.</h3>

−3x+10=34

<h3>Step 1: Subtract 10 from both sides.</h3>

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<h3>Step 2: Divide both sides by -3.</h3><h3 />

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