Answer:
The equation of this line would be y = 3/2x - 11, which is the answer D.
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - 1 = 3/2(x - 8)
y - 1 = 3/2x - 12
y = 3/2x - 11
Answer:
140°
Step-by-step explanation:
Supplementary angles sum to 180° , thus
angle = 180° - 40° = 140° ← other angle
Ur retirement plan is lower because you are not woroking as much
If both machines are working at once, 200 tshirts (100 in each machine) could be made in 100 minutes, if 200 shirts can be made in machine 1 in 50 minutes, it will take 25 minutes to make 100. machine b takes 150 minutes per each 200, 150 divided by two is 75. 75 + 25 = 100 minutes
It would work better just to use machine one and take 50
minutes, but i dont think thats an answer choice.
edit: i think from the choices your answer would be: 37.5 as if both machines run at once more tshirts can be made
Answer:
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)
Step-by-step explanation:
we are given

we can use rule to change exponent into radical
![\sqrt[n]{a} =a^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
so, we can write as


now, we can use rule
and we can write our term as
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)