9514 1404 393
Answer:
(c) 5y - x = -20
Step-by-step explanation:
When the x- and y-terms are on the same side of the equation, the slope of the line will be ...
m = -(coefficient of x)/(coefficient of y)
So, the slopes of the offered choices are ...
a) -5/1 = -5
b) -1/5
c) -(-1)/5 = 1/5 . . . . . parallel to given line
d) -5/-1 = 5
The lines will be parallel when their slopes are the same. The slope of the given line is the coefficient of x, 1/5. Choice C has the same slope.
The answer is B. Use the trig identity (sin x)^2+(cos x)^2=1. Since cos x=0.3090, sinx=+-\sqrt(1^2-0.3090^2)=+-0.9511. Since 0<x<90, sin x must be positive, so sin x=0.9511. tan x=sin x/cos x=0.9511/0.3090=3.0780.
Answer:
B) ![8\sqrt[4]{4}](https://tex.z-dn.net/?f=8%5Csqrt%5B4%5D%7B4%7D)
Step-by-step explanation:
![(2^{8} *2^{6} )^\frac{1}{4} = (2^{8+6} )^\frac{1}{4} =(2^{14} )^\frac{1}{4} =2^{\frac{7}{2} }=\sqrt{2^{7} } =2^{3} \sqrt{2} =8\sqrt{2} = 8\sqrt[4]{2^{2} } = 8\sqrt[4]{4}](https://tex.z-dn.net/?f=%282%5E%7B8%7D%20%2A2%5E%7B6%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D%20%282%5E%7B8%2B6%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D%282%5E%7B14%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D2%5E%7B%5Cfrac%7B7%7D%7B2%7D%20%7D%3D%5Csqrt%7B2%5E%7B7%7D%20%7D%20%20%3D2%5E%7B3%7D%20%5Csqrt%7B2%7D%20%3D8%5Csqrt%7B2%7D%20%3D%208%5Csqrt%5B4%5D%7B2%5E%7B2%7D%20%7D%20%3D%208%5Csqrt%5B4%5D%7B4%7D)
For this case we must multiply the following expression:
Applying distributive property we have:
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents:
Adding similar terms:
Answer:
A)70
Because in 1 year we have 12 months so we divide 840 with 12 we get 70
