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ivolga24 [154]
4 years ago
5

PT=4x+5 and TQ =6x-7

Mathematics
1 answer:
gregori [183]4 years ago
6 0

Answer:

Step-by-step explanation:

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Need some help with indefinite integrals pleasee
goldenfox [79]
Observe that (x^2+2x+2)'=2x+2.

You have that \int \frac{2x}{x^2+2x+2}\; dx=\int \frac{2x+2-2}{x^2+2x+2}\; dx=\int \frac{2x+2}{x^2+2x+2}\; dx+\int \frac{1}{x^2+2x+2}\; dx=I_1+2I_2.

To compute I_1 you set y=x^2+2x+2, so dy=2x+2\; dx. Therefore, I_1=\int \frac{1}{y}\; dy=\ln |y|=\ln |x^2+2x+2|=\ln (x^2+2x+2).

For I_2 observe that x^2+2x+2=(x+1)^2+1. Let y=x+1. Then dy=dx and I_2=\int \frac{1}{y^2+1}=\arctan y=\arctan (x+1).

So, \int \frac{2x}{x^2+2x+2}=\ln (x^2+2x+2)+2\arctan (x+1)+c.
8 0
3 years ago
(BRAINLYST FOR ANSWER IF CORRECT) What is the value of c?<br> c+15°<br> c–16°<br> c–18°
asambeis [7]

Answer:

c = 49°

Step-by-step explanation:

Inside of the triangle angles:

  • c–18°
  • c–16°
  • 180°-(c+15) → -c+165

these angles sum up to total 180° angle

-c+165+c-16°+c–18° = 180

c +131 = 180

c = 180° - 131°

c = 49°

5 0
2 years ago
Original price of a sweater:19.50 discount:20 percent
dexar [7]

Answer:

19.30

Step-by-step explanation:

if your finding the discounted price, you'd take 20% and turn it into .20 and then subtract 19.50 and .20

6 0
3 years ago
67×32×456÷6324+11=<br>i need answer pls pls pls pls​
hodyreva [135]

Answer:

165.5

Step-by-step explanation:

3 0
3 years ago
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Describe how the graph of y=2x os the same and different from graph of y=2x -7. explain or show your reasoning
Tanya [424]
Both graphs have the same slope, that is the same, but the thing that is different is he second equation starts at a y-int of -7, versus the first starting at 0.
5 0
3 years ago
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