Step-by-step explanation:
Length = x-3
width = x+8
Area of the rectangle = 60 inch²
(x-3)(x+8)=60
x²+8x-3x-24=60
x²+5x-24=60
x²+5x-84=0
x²+12x-7x-84=0
x(x+12) - 7(x+ 12) =0
(x+12)(x-7)= 0
x= -12 or, x= 7
Measure of sides of rectangle can never be negative.
Answers:
Therefore,
x=7
Dimensions
length =7-3
=4 inches
width = 7+8
=15 inches
Answer:
2 numbers could be 10 and 12
or - 12 and - 10
Step-by-step explanation:
let the 2 numbers be x and x + 2
since they are 2 consecutive even numbers, the difference between them is 2
the difference between the reciprocals is 1/60
we have to mulitply the 2 denominators x and (x+2) to get a common denominator for the 2 fractions
=
we can then remove the brackets from the numerator and denominator
and then cross multiply
60 * 2 = x² + 2x
120 = x² + 2x
x² + 2x - 120 = 0
we have a quadratic equation which needs to be solved
x² + 12x - 10x - 120 = 0
x (x + 12) - 10(x + 12) = 0
(x - 10) (x + 12) = 0
x - 10 = 0 or x + 12 = 0
x = 10 x = -12
Answer:
y + 3 = 2/3(x - 4)
Step-by-step explanation:
Point slope form equation
y - y1 = m( x - x1)
( x1 , y1) - any point on the line
m - slope of the line
Given
Slope - 2/3
Point - ( 4 , -3)
x1 = 4
y1 = -3
Substitute the values into the equation
y - y1 = m( x - x1)
y - (-3) = 2/3( x - 4)
y + 3 = 2/3(x - 4)
The equation of the line in point slope form is
y + 3 = 2/3(x - 4)
Answer:
C
Step-by-step explanation:
I think it is c too because it matches the data given.
Answer:
The length is 12 inches and the width is 8 inches.
Step-by-step explanation: