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BigorU [14]
3 years ago
9

ILL BRAINLIEST YOU PLEASE HELP ME

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

Option C

The length of RT is 14

Step-by-step explanation:

For a given Right Triangle

m∠R = 90°, RG = 17, TG = 22

Now, <u>By Pythagoras Theorem</u>

(RT)² + (RG)² = (TG)²

(RT)² = (TG)² - (RG)²

(RT)² = (22)² - (17)²

(RT)² = 484 - 289

(RT)² = 195

RT = √195

RT = √195 = 13.96 = 14

Thus, The length of RT is 14

<u>-TheUnknownScientist</u>

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I don't know if I did this right. 
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2 years ago
1<br>Determine the value of k if g(x)=4x+k is a tangent to f(x)=-x²+8x+20​
tangare [24]

Answer:

k=24

Step-by-step explanation:

The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.

f=-x^2+8x+20

Differentiating both sides:

f'=(-x^2+8x+20)'

By sum rule:

f'=(-x^2)'+(8x)'+(20)'

By constant multiple rule:

f'=-(x^2)'+8(x)'+(20)'

By constant rule:

f'=-(x^2)+8(x)'+0

By power rule:

f'=-2x+8

f' at x=a is -2a+8

This is the slope of any tangent line to the curve f.

The slope of g is 4 if you compare it to slope intercept form y=mx+b.

So we gave -2a+8=4.

Subtracr 8 on both sides: -2a=-4

Divide both sides by -2: a=2

The tangent line to the curve at x=2 is y=4x+k.

To tind y we must first know the y-coordinate of the point of tangency.

If x=2, then

f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32

So the point is (2,32).

g(x)=4x+k and we know g(2)=32.

This gives us:

32=4(2)+k

32=8+k

k=32-8

k=24

6 0
2 years ago
I need help pleaseeeeee
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Answer:

30

Step-by-step explanation:

total area of triangle is 180

so if 97+53= 150 180-150= 30

hope this helped

plz mark brainlest

i wanna rank up!!!

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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