The answer to your question is b
Solving a system of linear equations, we conclude that the measure of side Z is 2√13
<h3>How to find the measure of side Z?</h3>
Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.
In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.
x^2 = y^2 + 4^2
z^2 = y^2 + 9^2
(4 + 9)^2 = z^2 + x^2
We want to solve that for z.
Now, the second equation can be rewritten to:
y^2 = z^2 - 9^2
Now let's replace the first equation into the third one, so we get:
(4 + 9)^2 = z^2 + (y^2 + 4^2)
Now we can replace y^2 by z^2 - 9^2
(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)
Now we can solve this:
(13)^2 = z^2 + z^2 - 9^2 + 4^2
(13)^2 + 9^2 - 4^2 = 2*z^2
104/2 = z^2
52 = z^2
√52 = z
√(4*13) = z
√4*√13 = z
2√13 = z
We conclude that the measure of side Z is 2√13
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer:
Step-by-step explanation:
Calculation
Divide your interest rate by the number of payments you'll make that year. ...
Multiply that number by your remaining loan balance to find out how much you'll pay in interest that month. ...
Subtract that interest from your fixed monthly payment to see how much in principal you will pay in the first month.
Answer:
D. y= -1/5x2, y= -1/3x2, y= -7x2
Step-by-step explanation:
Answer:
A. Positive
Step-by-step explanation:
They ask us about the relationship between reading and grades.
First you have to go to the first part of the statement that says:
"Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they performed in school"
In this case they tell us that there is a positive correlation, that the more you read the better your performance in school is.
Performance is your grades, and home study can be reading, so the score is positive in the second half, too.
