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joja [24]
4 years ago
9

Evaluate. |6 + (-9) + 2| 1 13 5

Mathematics
1 answer:
KIM [24]4 years ago
6 0

Answer:

(

−

9

−

9

)

2

Subtract  

9

from  

−

9

.

(

−

18

)

2

Raise  

−

18

to the power of  

2

.

324

the answer is 13

Step-by-step explanation:

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You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?
nekit [7.7K]

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

5 0
3 years ago
Use linear approximation to approximate √25.3 as follows.
Sophie [7]

The idea is to use the tangent line to f(x)=\sqrt x at x=25 in order to approximate f(25.3)=\sqrt{25.3}.

We have

f(x)=\sqrt x\implies f(25)=\sqrt{25}=5

f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}

so the linear approximation to f(x) is

L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92

Hence m=\frac1{10} and b=\frac92.

Then

f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}

4 0
3 years ago
Lin has a pet German Shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. which measureme
Citrus2011 [14]

Answer:

38= kilo 84= pounds

Step-by-step explanation:

8 0
2 years ago
What is the solution to the linear equation?
Vikki [24]

Answer:

x=-5

Step-by-step explanation:

7 0
3 years ago
Find the accumulated value of an investment of 12,000 at 8 % compounded semiannually for 11 years
AleksAgata [21]
The "compound amount" formula is A = P(1+r/n)^(nt),
where P=original investment, r=interest rate as a decimal fraction; n=number of compounding periods, and t=number of years.

Then A = $12000 * (1+0.08/2)^(2*11) 
             = $12000(1.04)^(22)  =  $28,439.03  (answer)
4 0
3 years ago
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