Answer:
D. 28 feet
Step-by-step explanation:
a²+b²=c²
45²+b²=53²
2025+b²=2809
b²=784
=![\sqrt{b}](https://tex.z-dn.net/?f=%5Csqrt%7Bb%7D)
b=28
I am going to go with the assumption that your equation is
![x^2+mx+n=0](https://tex.z-dn.net/?f=x%5E2%2Bmx%2Bn%3D0)
. If there is only one solution, then the equation must be a perfect square. So square
![(x+3)](https://tex.z-dn.net/?f=%28x%2B3%29)
to solve for the equation in the similar form that is given.
![(x+3)^2=x^2+6x+9=0](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%3Dx%5E2%2B6x%2B9%3D0)
. So the variables match up perfectly in the equation, meaning that the value of m is 6, letter choice C.
what are the answer choices
Answer:
Step 3: Subtraction Property of Equality
Step-by-step explanation:
![20 - 17x = -34x + 60 \\ \: \: \: \: \: \: + 17x \: \: \: \: + 17x \\ \\ 20 = -17x + 60 \\ - 60 \: \: \: \: \: \: \: \: \: \: \: \: \: - 60 \\ \\ -40 = -17x \\ \\ 2\frac{6}{17} = x](https://tex.z-dn.net/?f=20%20-%2017x%20%3D%20-34x%20%2B%2060%20%5C%5C%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%2B%2017x%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%2B%2017x%20%5C%5C%20%5C%5C%2020%20%3D%20-17x%20%2B%2060%20%5C%5C%20-%2060%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20-%2060%20%5C%5C%20%5C%5C%20-40%20%3D%20-17x%20%5C%5C%20%5C%5C%202%5Cfrac%7B6%7D%7B17%7D%20%3D%20x)
So, the error was made at step 3, where this student combined the incorrect like-terms in the incorrect order.
I am joyous to assist you anytime.
Answer:
B
Step-by-step explanation:
15x-12<15x (distribute the 3) so it becomes 15x-13
-12<0 (group like terms)