Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
Answer:
ABC = 55°
Step-by-step explanation:
Angle A plus Angle C equals Angles B.
Add them together then subtract from 180°.
Answer:
![\sqrt[n]{x}=x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Step-by-step explanation:
The index of a radical is the denominator of a fractional exponent, and vice versa. If you think about the rules of exponents, you know this must be so.
For example, consider the cube root:
![\sqrt[3]{x}\cdot \sqrt[3]{x}\cdot \sqrt[3]{x}=(\sqrt[3]{x})^3=x\\\\(x^{\frac{1}{3}})^3=x^{\frac{3}{3}}=x^1=x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D%3D%28%5Csqrt%5B3%5D%7Bx%7D%29%5E3%3Dx%5C%5C%5C%5C%28x%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E3%3Dx%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3Dx%5E1%3Dx)
That is ...
![\sqrt[3]{x}=x^{\frac{1}{3}} \quad\text{radical index = fraction denominator}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%5Cquad%5Ctext%7Bradical%20index%20%3D%20fraction%20denominator%7D)
To complete this equation, it is vital to know the slope. To find the slope using points, you subtract the first x from the second, and the first y from the second. This gives you a slope of 4. Then, you must follow point-slope form and choose one of the order pairs to use. You then write y then the negative of your number. Since the number is already negative, you turn it into a positive. On the other side of the "=" sign, you write your slope, 4 distributing to x. Then you write the negative of your x value. Since it is already negative, it turns into a positive. This gives you a final answer of y+1=4(x+2). I realize that this doesn't line up with your fill-in-the-blank answer, so I am sorry if it doesn't work.
Answer:
7.2 feet
Step-by-step explanation:
plug in x = 3 since we are looking for the height after the 3rd bounce
4(0.6)(3)
4(1.8)
7.2
