The length of A"B" is 20 units
<h3>How to determine the length of A'B'?</h3>
From the figure, we have:
A = (1, 4)
B = (4, 8)
The distance AB is:

So, we have:

Evaluate

This gives
AB = 5
The scale factor of dilation is 4.
So, we have:
A'B' = 5 * 4
Evaluate
A'B' = 20
Hence, the length of A"B" is 20 units
Read more about dilation at:
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Answer:
R = 23.9
Step-by-step explanation:
formula for circles circumfrence is, C = 2*3.14*R
in this one we have to work backwards so we plug wut we have.
150 = 2* 3.14*R
we divide 150 by 2 so it will be
75 = 3.14R
now we divide 75 by pi so wwe get
23.8732414638 = R
Now we round it to nearest tenth
R = 23.9
Answer:
the solution to: f(x)=g(x)
is X=4
Explanation:
f(x)=g(x) is X=4 because the curves of f(x) and g(x) intersect at a point which has the abscissa 4.
Answer:
18) 4 * 10 ^ -10
19) t ^ 9
Step-by-step explanation:
18. When multiplying in scientific notation, just multiply the regular numbers together and add the exponents for the tens.
So it'll be 40 * 10^-11
However, the beginning number should have the decimal right after the 4, not any place after (for example, it's 3.056, not 30.56 or 3056.)
To fix this, move the decimal place forward one space from 40. to 4.0, and add 1 to the -11 power.
So the answer is now 4 * 10^-10
19. When dividing exponents, if the base number is the same, you can divide. (Basically, you can not divide x^2 and y^3 because x and y aren't the same)
Since in this case it's t, you can divide.
Dividing exponents is simple: just subtract them.
14 - 5 = 9
so the answer is t ^ 9
In order to reach the total cost of $128, you need to find the number of hours the company cleaned. The equation to do so would be
30x+ 8 = 128
If you subtract 8 from both sides and then divide by 30 you'll find that x=4.