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Delvig [45]
2 years ago
7

Write an equation of the line below.

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
4 0

Answer:

x = 2 + y is your answer for one

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The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please
Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx

We let the substitution take place.

Therefore, we let u = 1 + 4x^{2}

Thus, du = 8dx.

So,

xdx = \frac{1}{8}du

Also, the interval of the integration changes to [ 37, 65]

Thus,

S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx

= \frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} }  }

= 156.5 units²

8 0
3 years ago
Please help me with this math problem. Only type answer please dont upload files
posledela
3) 3(8b + 3)
4) 57

I’m pretty sure that this is the answer
8 0
2 years ago
Need help asap for geometry​
kupik [55]

Answer:

35

Step-by-step explanation:

40=1/2(115-x)

80=115-x

-35=-x

x=35

4 0
3 years ago
Read 2 more answers
Is 4.9199199919999... a rational or irrational number?
ratelena [41]

Answer:

irrational

Step-by-step explanation:

rational is if its repeating like (1.11111111) irrational if its (1.2464383252222)

7 0
3 years ago
Find the area of the triangle
BARSIC [14]

Answer:

The Area of Δ ABC = 219.13

Step-by-step explanation:

<em>The hard part about this problem is finding the area without the height</em>

The formula to do this is Area = \sqrt{S(S-A)(S-B)(S-C)}

A, B, C represent the sides

S represents \frac{1}{2} (A + B + C)

In this equation, we will make the base be A, and the other two sides will be B and C

<u>Sides B and C are the same length</u> because they meet at a 90° angle

Lets plug the numbers into the variables

A = 28

B= 21

C= 21

<u>Remember:</u> S represents  \frac{1}{2}  (A + B + C)

S =  \frac{1}{2} (28 + 21 + 21)

S =  \frac{1}{2} (70)

S = 35

<em>Lets plug the numbers into the Area Formula now!</em>

Area = \sqrt{35(35 - 28)(35 - 21)(35 - 21)}

According to the order of operations, we need to do the calculations in parentheses <u>first</u>

35 - 28 = 7

35 - 21 = 14

35 - 21 = 14

14 x 14 x 7 = 1372

1372 x 35 = 48020

\sqrt{48020} = 219.13

The Area of Δ ABC = 219.13

3 0
3 years ago
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