Answer:
y = 3x - 9
Step-by-step explanation:
We first need to find the slope (m)
m = 
= 
= 
= 3
y = mx + b
y = 3x + b
(4, 3)
y = 3x + b
3 = 3(4) + b
3 = 12 + b
-12 -12
-9 = b
(1, –6)
y = 3x + b
-6 = 3(1) + b
-6 = 3 + b
-3 -3
-9 = b
y = 3x - 9
To check: (1, –6)
y = 3x - 9
-6 = 3(1) - 9
-6 = 3 - 9
-6 = -6
Hope this helps!
Answer:
Step-by-step explanation:
Order shouldn't make any difference.
3 C 4 = 4!/(3! 1!) = 4
Let's see if that is right.
1 2 3
1 2 4
1 3 4
2 3 4
Any other combination will produce a duplicate if order doesn't matter. For example
2 4 3 is the same thing as 2 3 4
Answer:
.
Step-by-step explanation:
.
Answer:
48
Step-by-step explanation:
Remark
Use a^2 + b^2 = c^2 to solve for the height.
Givens
c = 10
b = 6
h = ?
Solution
b^2 + h^2 = c^2
6^2 + h^2 = 10^2
36 + h^2 = 100 Subtract 36
h^2 = 100 - 36
h^2 = 64 Take the square root of both sides
sqrt(h^2) = sqrt(64)
h = 8
The height = 8
Area = 1/2 * b * h
Area = 1/2 *12 * 8
Area = 48
Comment
You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12
Answer:
p = 72
q = 18
Step-by-step explanation:
Complementary means they add to 90o
p + q = 90
p = 4*q
Substitute 4q for p
4q + q = 90 Combine
5q = 90 Divide by 5
5q/5 =90/5
q = 18
p = 4q
p = 4*18
p = 72
