Answer:
or 
Step-by-step explanation:
we know that
Applying the law of cosines
In this problem we have
substitute the values
Answer:
1. Translate circle A using the rule (x − 3, y + 4).
4. Dilate circle A by a scale factor of 5
Step-by-step explanation:
we know that
All circles are similar figures
step 1
Translate the center of circle A to the center of circle B
we have
A(2,8) -----> B(5,4)
so
The rule of the translation is
(x,y) ----> (x+a,y+b)
(2,8) ----> (2+a,8+b)
2+a=5 ----> a=5-2=3
8+b=4 ---> b=4-8=-4
therefore
The rule of the translation is
(x,y) ----> (x+3,y-4)
step 2
Divide the radius of circle B to the radius of circle A to find out the scale factor
10/2=5
so
Multiply the radius of circle A by the scale factor to obtain the radius of circle B
therefore
Dilate circle A by a scale factor of 5
Answer:
E
Step-by-step explanation:
E is the only option where the answer would be a non--repeating answer, which is pretty much the definition of a rational number.
Answer:
<u>First blank:</u> 2. Extrapolation
<u>Second blank:</u> 2. 69
Step-by-step explanation:
Extrapolation should be used because the point (x, y) is further than the points included in the table, that is, the x-coordinate will be greater than 12 when y = $0
Replacing y = 0 into the equation, we get:
0 = -115.9x + 8,007.30
115.9x = 8,007.30
x = 8,007.30/115.9
x = 69
The digit 3 is in the ones place
