Answer:
See image
Step-by-step explanation:
This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.
So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.
The Add exponents rule and Subtract are 100% correct.
Answer:
Supplementary: 126 degrees ( 180-54)
Complementary: 47degrees (90-43)
Hope it helps!!!
Answer:
120 miles
Step-by-step explanation:
Formulate equations.
Distance = rate * time.
D1 = distance from home to airport
D2 = distance from airport to off
D1 + D2 = 150
30 x t1 + 60 x t2 = 150
Divide through by 30
t1 + 2t2 = 5 ----- equation 1
Entire trip took 3 hours
t1 + t2 = 3 -------------------- equation 2
Solve equation 1 and 2 and you get
t1 = 1 hour
t2 = 2 hour
D2 = t2 x speed = 2 x 60
= 120 miles.
(5x-7)2 + 140x
= 25x2 - 70x + 14 + 140x
= 25x2 + 70x + 14
= (5x+7)2
