3 years ago

PLSSSSSSSSSSSSSSSSSSSSS HEEEEEELP

Mathematics

1 answer:

zepelin [54]3 years ago

5 0

Answer:

notice the two angles are vertical to each other making them equal to each other

for the first angle add 45 and 15 together to get 60

set 60 = 4x (the other angle using the vertical angle congruence theorem)

solve for x gives us 15

Step-by-step explanation:

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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

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

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

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

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

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

4 0

3 years ago

Identify the range of the function shown in the graph.<br><br> help

amm1812

Answer:

-5 ≤ y ≤ 5

Step-by-step explanation:

maximum y value is 5

minimum y value is -5

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2 years ago

F(x)=-x^(2)+6 find(-1)

kap26 [50]

Answer:

Step-by-step explanation:

When,x= -1

Now,

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Hope it helped you.

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2 years ago

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3 years ago

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Answer:

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Answer is 27

Step-by-step explanation:

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