Answer:
Step-by-step explanation:
from the graph of f(x)
when x=1,f(x)=0
or f(1)=0
when f(x)=2,x=2
for g(x)
when x=6,g(x)=16
or g(6)=16
when g(x)=18,x=32
for h(x)
when x=14
h(x)=27x-7
h(14)=27×14-7=7(27×2-1)=7(54-1)=7×53=371
h(x)=-493
27x-7=-493
27 x=-493+7=-486
3 x=-54
x=-18
for p(t)
when t=94
p(t)=24
p(94)=24
p(t)=67
t=31
Answer:

Step-by-step explanation:
step 1
Find the slope of the given line
we have

isolate the variable y

The slope of the given line is

step 2
Find the equation of the line that goes through the point (1,5) and is parallel to the given line
Remember that
If two lines are parallel then their slopes are equal
therefore
we have


substitute in the equation of a line in slope intercept form


solve for b

substitute

Answer:
189 cm²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× product of diagonals
=
× 18 × 21 = 9 × 21 = 189 cm²
I believe it is C, there is a geometric law that states that the opposite angles across a line with both going into parallel lines will be the same angle. Rather confusing but a video online would likely explain it better than anyone could here.
Answer:
B. (-6, -9)
D. (12, 3)
Step-by-step explanation:
y=mx+b is the format for this problem.
2/3 is m and -5 is b
The b is the y-intercept which is the point where the line crosses from one side of the graph to the other horizontally. You can see at -5, that is where that happens.
Then, to find the second point, you would move the -5 up 2 and right 3 points because the slope is 2/3.
You can then look at another point of the graph to find (-6, -9)
*Changed my answer from just B to B and D