Plotting that point puts us at a y value of -5 (the y coordinate of the point P). y=-8 is a straight horizontal line through y=-8, so the distance from -5 to -8 is 3. Remember that distance is never negative. Distance is measured using the absolute value of the numbers. So b is your choice.
A car dealership pays the sum of $8,350 for a car
The dealer mark up the car price by 17.4%
The retail price = Mark up percentage x original price of the car
Mark up = 17.4%
= 17.4 + 10
= 117.4%
Convert 117.4% to decimal
= 117.4/100
= 1.174
The retail price = $8, 350 x 1.174
= $9,802.90
The retail price of the car is $9,802.90
I'm assuming you meant to write a^4 = 625.
If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2
So we go from this
a^4 = 625
to this
(a^2)^2 = 25^2
Apply the square root to both sides and you'll end up with: a^2 = 25
From here, apply the square root again to end up with the final answer: a = 5 or a = -5
As a check:
a^4 = (-5)^4 = (-5)*(-5)*(-5)*(-5) = 25*25 = 625
a^4 = (5)^4 = (5)*(5)*(5)*(5) = 25*25 = 625
Both values of 'a' work out
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.