Answer:
The rope is 94.65 feet.
Step-by-step explanation:
When two lines are perpendicular to one another, their slopes multiplied together is always going to be -1.
With this in mind, set up the following equation:
m₁ * m₂ = -1
![\frac{5}{2} * m = -1\\ m=- \frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20%2A%20m%20%3D%20-1%5C%5C%0Am%3D-%20%5Cfrac%7B2%7D%7B5%7D%20)
So
![- \frac{2}{5}](https://tex.z-dn.net/?f=%20-%20%5Cfrac%7B2%7D%7B5%7D%20)
is your slope.
Since y = (-1)x + b, plug in y and x to solve for b, using the point (10, -8);
![-8 = -1(10) +b\\ -10+b=-8\\ b=2](https://tex.z-dn.net/?f=%20-8%20%3D%20-1%2810%29%20%2Bb%5C%5C%20-10%2Bb%3D-8%5C%5C%20b%3D2%20)
So your equation is
y = -x + 2
Answer:
![y=\sqrt{x} -2](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%7D%20-2)
Step-by-step explanation:
If you were to replace x with 0 in each of the equations, you would get
from top to bottom choices:
![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
![\sqrt{-2}](https://tex.z-dn.net/?f=%5Csqrt%7B-2%7D)
2
-2
Since we can see that the line touches the y-axis on the number -2, we know that it is the last choice that is the answer
Answer:
The 6% simple interest account earns more interest in 2 years.
Step-by-step explanation:
You can compare the multipliers in the interest formulas.
For simple interest, the amount in the account (A) starting with principal P and earning at rate r for t years will be ...
A = P(1 +rt)
For the values given, r=.06 and t=2, the multiplier is ...
1 +rt = 1 +.06·2 = 1.12
__
For interest compounded annually, the amount will be ...
A = P(1 +r)^t
For the given values, the multiplier is ...
(1+r)^t = (1.04)^2 = 1.0816
__
Since 1.12 > 1.0816, the account earning simple interest will earn more interest.