Answer:
12
Step-by-step explanation:
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
Answer:
(0.5, 0) will be the midpoint by applying formula which is
add both "x" quadrant and divide by it by two and then add both "you" quadrant and then divide it also by 2 you will get answer
Answer:
Step-by-step explanation:
a) you know interest is 22 and principal is 1000 and number of months is 1
b) I = rPm
r = I/Pm
c) r = 22 / 1000(1) = 0.022 /month or 2.2% per month
or 12(0.022) = 0.264 or 26.4 % per year.
d) interest is $15, loan period is 2 weeks which occurs once during the loan, interest rate is 10% per two weeks.
P = I/rm
e) P = 15 / 0.10 = $150
Notice that there are 52 weeks/yr / 2week loan period = 26 period in a year.
This means that the APR is 0.10(26) = 2.60 or 260% annual interest rate. Pretty good return on investment if you are the lender and can keep your money lent out. Not so good if you are the borrower.
Answer:
H=9;8)
B=(5;4) (ball)
R=(7;0) (hit point)
B'=symetric of B axis perpendicular of x in R
B'=(7+(7-5);4)=(9;4)
Equation BR: y-4=(0-4)/(7-5)(x-5)==>y=-2x+14
Equation RB': y-4=(4-0)/(9-7)(x-9)==>y=2x-14
Is H a point of RB'? y=2x-14 : 8=? 2*9-14==>8=?4 No!
you will not make your putt
Step-by-step explanation:
