Answer: C— 9 m
Steps:
a^2 + b^2 = c^2
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 81
b = 9
Answer:
-2 =m
Step-by-step explanation:
–15 = 4m – 7
Add 7 to each side
–15+7 = 4m – 7+7
-8 = 4m
Divide each side by 4
-8/4 = 4m/4
-2 =m
Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30
<h3>What are linear equations</h3>
Linear equations are equations that have constant rates
A linear equation is represented as:
y = mx+ b
In this case,
- m represents the deposit per week
- b represents the initial deposit
So, the linear equations are:
- y =153.46x --- for Monica
- y = 128.90+ 127.68x -- For Lauren
To calculate the number of weeks, when they have the same amount, we equate both equations

Collect like terms


Solve for x

Substitute 5 for x in



Hence, it will take 5 weeks for both accounts to have the same amount of $767.30
Read more about linear equations at:
brainly.com/question/14323743
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m =
= 
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y =
x - 2 ← in slope- intercept form
with slope m = 
Parallel lines have equal slopes , then
=
, so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
Answer:
C: 8
Step-by-step explanation:
8^3=512
if it was -8^3 it would equal -512