When multiplying terms that have the same base (in this case,
) but different exponents, you can add their exponents to make them one term.
In this case, we can add the exponents of
:
![x \cdot x^5 \cdot x^5](https://tex.z-dn.net/?f=%20x%20%5Ccdot%20x%5E5%20%5Ccdot%20x%5E5%20)
![x^{(1 + 5 + 5)}](https://tex.z-dn.net/?f=%20x%5E%7B%281%20%2B%205%20%2B%205%29%7D%20)
![\boxed{x^{11}}](https://tex.z-dn.net/?f=%20%5Cboxed%7Bx%5E%7B11%7D%7D%20)
A simplified version is
.
Answer:
(1.2, –4.7)
Step-by-step explanation:
Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)
Also, the ratio of A to B is 5:8
Based on this, the x and y coordinates at point C is
![= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}]](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B5%5Ctimes%20%28-8%29%20%2B%208%5Ctimes%207%7D%7B5%20%2B%208%7D%20%2C%20%5Cfrac%7B5%5Ctimes%20%28-9%29%20%2B%208%5Ctimes%20-2%7D%7B5%20%2B%208%7D%5D%5C%5C%5C%5C%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%2C%20%5Cfrac%7B-61%7D%7B13%7D%5D)
= (1.2, –4.7)
Hence, the x and y coordinates of point C is (1.2, –4.7)
Therefore the last option is correct
Answer:
a
Step-by-step explanation:
do 2 x 2 you should get the right answer
Answer:
4:7
Edit: I just saw the multiple choice options, in this case the right answer is:
<h2>
8:14</h2>
but they're both equal
Step-by-step explanation:
The ratio you are looking for is
freestyle laps : (freestyle + butterfly) laps
so:
8 : (6+8)
8:14
Divide by 2 to simplify
4:7
She would have 2 2/8 liters of paint left