Nine hundred fifty-four thousandths.
Answer:
x = 3.69 feet
11.69 x 13.69 feet
Step-by-step explanation:
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
Answer:
So dimension of rectangle are :
Length = 32
Width = 40
Step-by-step explanation:
Let the length of rectangle be 4x and width of rectangle be 5x.
Remember ratio of length and width is 4 to 5.
Perimeter of rectangle is given as 144.
i.e 2 (length +width) = 144
or 2 ( 4x + 5x ) = 144
Solving this for x, we get :
or 9x = 144/2
or 9x = 72
or x = 72/9
or x = 8
So dimension of rectangle are :
Length = 4 x = 4*8 = 32
Width = 5x = 5*8 = 40
Answer: L, J, K
Step-by-step explanation:
L, J, and K are collinear because they all lie on the same line.
Answer:
y = - 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y = 14 + 
x into this form
Divide all terms by 2
y = 7 + 
x ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3, hence
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = - 3x + 2 ← equation of perpendicular line
