Answer:

Step-by-step explanation:
Given:
The two points on the line are
and
.
The slope of the line joining two points
and
is given as:

Here, 
∴ 
Equation of line with a point
and slope
is given as:

Plug in -2 for
, 3 for
and -7 for
. This gives,

Therefore, the equation of the line in vertex form is
.
Answer:
D
Step-by-step explanation:
Using the sine ratio in the right triangle
noting that sin45° =
← exact value
sin45° =
= 
Multiply both sides by h, then
h ×
= 8
Multiply both sides by 
h = 8
→ D
For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:
Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles
Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is

.
Answer:
The answer is the (Expenses is between 2,000-2,500) and the (Income is over 3,000)
Step-by-step explanation:
I just took the test i got it right