Given:
The line passing through (-2,5) and (2,p) has a gradient of 
.
To find:
The value of p.
Solution:
If a line passes through two points, then the slope of the line is:
The line passing through (-2,5) and (2,p). So, the slope of the line is:
It is given that the gradient or slope of the line is .
On cross multiplication, we get
Divide both sides by 2.
Therefore, the value of p is 3.
Answer:
D.
Step-by-step explanation:
<h2>
Answer:37 paintings of $50 and 15 paintings of $75</h2>
Step-by-step explanation:
Let 
be the number of paintings Ella sells for $
.
Let 
be the number of paintings Ella sells for $
.
Profit made through $ paintings is 
Profit made through $ paintings is 
So,total profit is given by 
It is given that total profit is $
So,
..(i)
Given that the total number of prints is 
So,
..(ii)
using (i) and (ii),
Answer:
that is a two sided triangle
Step 1:
Add rent & car payments
=11,250+1422
=$12,672
Step 2:
to determine %, set up a proportion
12,672 is to his total of 39,600 as x is to 100
12,672/39,600 = x/100
cross multiply
(12,672)(100) = (39,600)(x)
1,267,200= 39,600x
divide both sides by 39,600
32%= x
OR
Alternative Step 2:
12,672 ÷ 39,600= 0.32
Alternative Step 3:
0.32 x 100 = 32%
or move decimal to the right 2 places
His rent and car payments are 32% of his earnings.
Hope this helps! :)
