Answer:
The height of rectangle is 5 inches
Step-by-step explanation:
<u><em>The correct question is</em></u>
A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height
Let
x -----> the width of the rectangle in inches
y ----> the height of the rectangle in inches
d ---> diagonal measurement of the rectangle in inches
we know that
Applying the Pythagorean Theorem
![d^2=x^{2}+y^{2}](https://tex.z-dn.net/?f=d%5E2%3Dx%5E%7B2%7D%2By%5E%7B2%7D)
we have
![d=13\ in](https://tex.z-dn.net/?f=d%3D13%5C%20in)
so
![13^2=x^{2}+y^{2}](https://tex.z-dn.net/?f=13%5E2%3Dx%5E%7B2%7D%2By%5E%7B2%7D)
----> equation A
---> equation B
substitute equation B in equation A
![169=(y+7)^{2}+y^{2}](https://tex.z-dn.net/?f=169%3D%28y%2B7%29%5E%7B2%7D%2By%5E%7B2%7D)
solve for y
![169=y^2+14y+49+y^{2}](https://tex.z-dn.net/?f=169%3Dy%5E2%2B14y%2B49%2By%5E%7B2%7D)
![2y^2+14y+49-169=0](https://tex.z-dn.net/?f=2y%5E2%2B14y%2B49-169%3D0)
![2y^2+14y-120=0](https://tex.z-dn.net/?f=2y%5E2%2B14y-120%3D0)
solve the quadratic equation by graphing
using a graphing tool
The solution is y=5
see the attached figure
therefore
The height of rectangle is 5 inches
Examples of conjunctions are and, but, or, yet. So your answer would be A. I hope this helped. :)
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
2 to 3 means that the ratio of romantic students has a numerator of 3. If there is a numerator of 3 the denominator has to be 5 because 2+3 is five if the fraction is 3/5, then the answer is A.
A proportion is a statement that two ratios are equal. A ratio is a comparison of two different quantities. "Miles per hour" is a ratio. "Dollars per pound" is a ratio. A proportion is that two of these things are equal.
For example, paying $2/pound for apples is the same as paying $6 for 3 pounds:
![\dfrac{\$2}{1 \text{ pound}} = \dfrac{\$6}{3 \text{ pounds}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5C%242%7D%7B1%20%5Ctext%7B%20pound%7D%7D%20%3D%20%5Cdfrac%7B%5C%246%7D%7B3%20%5Ctext%7B%20pounds%7D%7D)
That's a portion.
When working with proportions in word problems, you start by setting up one ratio/fraction where you know all the information. You then set up the second one that's missing a piece of information, but you make sure to set it up using the same structure.
If your first ratio is "miles over hours," then the next ratio has to have the same organization.
If your first ratio is "rise over run," then the next ratio has to have the same organization.