Which expression represents the composition [g-f. h](x) for the functions below?
1 answer:
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Answer:
d) (-3/2, -1/2)
Step-by-step explanation:
The midpoint (M) between two given points is the average of their coordinate values:
M = (A + B)/2 = ((-8, 1) +(5, -2))/2 = (-3, -1)/2
M = (-3/2, -1/2) . . . . . matches choice D
Answer: 12.20 feet.
Step-by-step explanation:
Observe in the figure attached that a right triangle is formed.
Then, you need to remember the identity:
In this case you can identify that:
Then, to find the length of the wooden board (x), you need to substitute values and solve for x.
Therefore, you get:
The length of the wooden board is: 12.20 feet.
Answer:
y = x - 12
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 = - x ← is in slope- intercept form
with slope m = - , c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y = x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y = x - 12 ← equation of perpendicular line