Answer:
Width = 
Step-by-step explanation:
All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.
Area = length * width
We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.
(c^2 - 4x - 12) = (x + 2) * w
(c^2 - 4x - 12) = w(x +2)
Divide both sides by (x+2) so w can stand alone.
w =
don't be alarmed the two lines just mean absolute value, the problem is asking what is m. the problem is asking what number multipyed by 2, subtracted by 1 will give you 3?
2x2=4 right?
so 4-1=3 there!
m=4
so the problem is 2(4)-1=3
i hope i explained well enough!
1. vertical angle theorem and triangle angle sum theorem
2. The sum of the interior angles of a triangle = 180
so < x = 180 - (70 + 30) = 180 - 100 = 80
and < y is a vertical angle to < x...and vertical angles are equal..
so < y = 80
Here, number of periods (years), n=5
Annual interest rate, i=0.05 (compounded yearly)
Present value/deposit, P=100
Future value of deposit = P(1+i)^n=100(1.05^5)=127.63 (to the nearest cent)
Answer: After 5 annual interest payments, Bob will have 127.63 in his account.
9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
