Answer:
8 = 2^3, 52 = 2^2 * 13
Step-by-step explanation:
8 = 2 * 2 * 2 = 2^3
52 = 2 * 2 * 13= 2^2 * 13
1)80
2)55
3)D
4)F
5)-20
6)B
Hope that helps
Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-6) = 10
difference of y-coordinates = -1-9 = -10
partition the differences into a ratio of 1:4
10 × 1/(1+4) = 2
-10 × 1/(1+4) = -2
(-6+2,9-2) = (-4,7)
Answer:
B
Step-by-step explanation:
The distance formula is 
Where 
is the first coordinate (our case, point A(2,2)) & 
is the second coordinate (our case, point D(-4,-3))
<em>Plugging these in into the formula gives us:</em>
Answer choice B is closest.
The triangle lengths would be 14√2, 7√2 and 7√6.
The sides of a 45-45-90 triangle can be listed as t, t and t√2. The legs are each 14, so the hypotenuse will be 14√2.
This will also be the longest side of the 30-60-90 triangle. Its sides can be listed as t, 2t and t√3. Since the hypotenuse is the longest side, we have:
2t=14√2
Dividing both sides by 2, we have:
2t/2 = 14√2/2
t = 7√2
The remaining side will be t√3:
t = 7√2
t√3 = 7√2(√3) = 7√6
