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:
<u>about $2.31 per pound</u>
Step-by-step explanation:
35.99/15.6 = 2.30705128205
2.31
Have a good day! :)
Answer:
- question 2 answer is C. (-1,7) and (6,28)
- question 3 answer is A. it is possible for a system of equations composed of linear function and a quadratic function to have 3 solutions.
- question 4 answer is (1,6)
P.s. if any question is wrong then I'm sorry. :(
Step-by-step explanation:
question 4
y=2x^2-5x+9
y= 2x^2+5x-1
y= 2x^2-5x+9=2x^2+5x-1
x=1
y= 2×1^2+5×1-1
y=6
Answer:
answer is B
Step-by-step explanation:
step by step explanation
