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steposvetlana [31]
3 years ago
10

What is the total area of this figure?

Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

Answer:

the answer is 504

Step-by-step explanation:

(10x12)+(10x12)+(10x12)+(12x12) {the last equation is the bottom

You might be interested in
Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)
viktelen [127]
\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}

The first line segment can be parameterized by \mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle with 0\le t\le1. Denote this first segment by C_1. Then

\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt
=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt
=108

The second line segment (C_2) can be described by \mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle, again with 0\le t\le1. Then

\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt
=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt
=-\dfrac{229}3

Finally,

\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3
5 0
3 years ago
Need help?????????!!!!!!!
julsineya [31]

Answer:

73 and -23 hope this helped hon :)

Step-by-step explanation:

y=-8x+9

plug in -8

y=-8(-8)+9

y=64+9

y=73

y=-8x+9

plug in 4

y=-8(4)+9

y=-32+9

y=-23

3 0
3 years ago
What is the answer of -12x+-7x​
Dmitriy789 [7]

Answer:

-19x

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
X^2-12x+__=(x-__)2<br> what’s the answer??
Deffense [45]

Answer: The answer is x=0

Step-by-step explanation:

Rewrite the equation as a trinomial.

x 2 + 12 x + 0

Move 0 to the right-hand side.

x 2 + 12 x = 0

Divide the coefficient of the  x

-term by 2, then square the result. Add the result to both sides.

12 /2 = 6 ;6^2   = 36

x 2 + 12 x + 36 = 36

Factor the perfect square trinomial  

x 2 + 12 x + 36

on the left-hand side.

( x + 6 ) 2 = 36

Take the square root of both sides and solve for  x .

√ ( x + 6 )^ 2 = ± √ 36 =

x+ 6 =  ± 6

x =  − 6 + 6 = 0

x =  − 6  − 6 = − 12

Check

If  x = 0 :

( 0 ) ^2 + 12 ( 0 ) = 0

0 = 0

If  x = − 12 :

( − 12 ) ^2 + 12 ( − 12 ) = 0

144 − 144 = 0

0 = 0

3 0
3 years ago
The question is in the picture
Art [367]

Answer:

the last answer

Step-by-step explanation:

8 0
3 years ago
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