Do you have any answer choices?
F(x) = 4x
so f(-2) = 4*-2 = -8
and
g((f(-2)) = g(-8) = -16-1 = -17
Its A
Answer:
(5) The perpendicular height of the triangle is 8.48 mm.
(6) The 1184.86 cm far up the wall the ladder reach.
Step-by-step explanation:
Part (5):
When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.
The figures is shown below.
In ΔABC,
CB = 6 mm
So,
CD = BD = 3 mm
Now calculating the perpendicular height of the triangle.
Using Pythagoras theorem in ΔADC:

Thus, the perpendicular height of the triangle is 8.48 mm.
Part (6):
The figure is shown below.
Converting meter to centimeter:
1 m = 100 cm
So,
12 m = 1200 cm
Using Pythagoras theorem in ΔXYZ:

Thus, 1184.86 cm far up the wall the ladder reach.
To calculate the GCF, you need to list all the prime numbers that will go into each number listed
12: 2, 2, 3
60: 2, 2, 3 5
68: 2,2,17
Now you circle the numbers that are the same in each.
GCF: 2, 2
Multiply these numbers to find the GCF: 4
Answer:
11x+y = -28
Step-by-step explanation:
We have two points so we can find the slope
m = (y2-y2)/(x2-x1)
= (-6-5)/ (-2--3)
= -11(-2+3)
= -11/1
The slope is -11
We can use point slope to make an equation
y-y1 = m (x-x1)
y-5 = -11(x--3)
y -5 = -11(x+3)
Distribute
y-5 = -11x-33
Add 5 to each side
y-5+5 = -11x-33+5
y = -11x-28
Add 11x to each side
11x+y = -11x+11x-28
11x+y = -28
This is the standard form of a line