Answer:
x^2 + 6x +9 = 0
(x+3)^2 = 0
(x+3)(x+3)= 0
Step-by-step explanation:
Simplify n + -2 to n - 2
(n - 2)(n + 4) = 27
Expand
n^2 + 4n - 2n - 8 = 27
Simplify n^2 + 4n - 2n - 8 to n^2 + 2n - 8
n^2 + 2n - 8 = 27
Move all terms to one side
n^2 + 2n - 8 - 27 = 0
Simplify n^2 + 2n - 8 - 27 to n^2 + 2n - 35
n^2 + 2n - 35 = 0
Factor n^2 + 2n - 35
(n - 5)(n + 7) = 0
Solve for n
<u>n = 5, -7</u>
Answer:
<h2>a. V = 420 cm³</h2><h2>b. V = 444 in³</h2><h2>c. V = 108 cm³</h2><h2>d. V = 324 m³</h2>
Step-by-step explanation:
We have the rectangular prisms.
The formula of a volume of a rectangular prism is:

l - length
w - width
h - height
==========================================
Look at the picture.
a.
Two congruent rectangular prisms 14cm × 3cm × 5cm.

b.
One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:

c.
One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:

d.
One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:

Answer:
Part 1) The equation in slope intercept form is 
Step-by-step explanation:
Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)
we know that
The equation of a line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have


substitute

solve for m



therefore

Answer: 5 hours
Step-by-step explanation: c=35•h+25
25=40•h-35•h; 25=5•h