Answer:
Step-by-step explanation:
we want y by itself...sooo
y - 19 = -
(x - (-5))
y - 19 = -
(x+5)
y - 19 = -
x - 
y = -
x - 3 +19
y = -
x + 16
Answer:
5 inches
Step-by-step explanation:
A cone's volume can be found using the formula
. If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.

This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.
Answer:
1 / (x² + 6x + 8)
Step-by-step explanation:
(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)
= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)
↑ factor x² + 5x + 6 ↑ factor x² - 16 using difference of squares
= 1 / (x + 2) * 1 / (x - 4) ← x + 4 and x + 3 cancel
= 1 / (x + 2) * (x + 4) ← multiply
= 1 / (x² + 6x + 8) ← expand
Answer:
B
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 )
y = 2x + 8 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (6, - 6) into the partial equation
- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3
y = -
x - 3 ← equation of line k