Answer: Check
12^10 × 12^(-2) = 12^(10 - 2) = 12^8
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Second option : ---
3^2 × 4^6 = 3^2 × 4^2 × 4^4 = 12^2 × 4^4
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Third option : ---
(12^8)^0 = 12^(8 × 0) = 12^0 = 1
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4th option : Check
12^10 / 12^2 = 12^10 × 12^(-2) = 12^(10 - 2)
= 12^8
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5th option : Check
2^8 × 6^8 = ( 2 × 6 )^8 = 12^8
Step-by-step explanation:
Answer:
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Step-by-step explanation:
Let x = Courtney's walking speed
then
(x + 1) = Brandi's walking speed
:
Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time
6.5/x + 1 = 5/x
Cross multiply
6.5x= 5(x+1)
6.5x= 5x + 5
6.5x - 5x = 5
1.5x = 5
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
Note that:
(x + 1) = Brandi's walking speed
3.33mph + 1 = 4.33mph
Therefore,
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Sorry i cant exactly help you with this one because im in 6th grade so i dont really know problems like this yet.
Answer:
x=16.75 y=4.5
Step-by-step explanation:
first turn the first trapezoid sideways so the side that says 8 matches with the side that says 10. This is the proportion. 8:10. The bottom of the first trapezoid says x+2. This matches with the side that says 15. Because the side that says 15 is on the bigger trapezoid, multiply by ten. Then multiply the other trapezoid by 8. We get an equation that looks like. 8x+16=150 Simplify and 8x=134 divide and we get x=16.75. Do the same for the side with y. 8y-24=50. 8y=36 y=4.5. There you have it.
Answer:
(-6,-4)
Step-by-step explanation:
to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2
