Answer: x = 9
Explanation:
Answer:
and .
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system.
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Now, we will substitute in equation (1).
Therefore, the point is solution for our given equation.
Answer:
no clue sorry
Step-by-step explanation:
Answer:
$1615.05
Step-by-step explanation:
First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.
Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.
Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.
113.67h + 660 = 350 + 400 + x
113.67(15) + 660 = 350 + 400 + x
1705.05 + 660 = 750 + x
2365.05 = 750 + x
1615.05 = x
Answer:
The length of the segment F'G' is 7.
Step-by-step explanation:
From Linear Algebra we define reflection across the y-axis as follows:
, (Eq. 1)
In addition, we get this translation formula from the statement of the problem:
, (Eq. 2)
Where:
- Original point, dimensionless.
- Transformed point, dimensionless.
If we know that and , then we proceed to make all needed operations:
Translation
Reflection
Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:
The length of the segment F'G' is 7.