Answer:
Step-by-step explanation:
We know
in the third quadrant 
We use a scientific calculator to find the inverse cosine of -0.9041 to find
Since this angle is not in the required quadrant we must find the other angle who has the same cosine. The required angle is equidistant from the found value from the 180 degrees angle, so our solution is
y = 4x + 7
This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.
y - 4x = 9
y = 9 + 4x (add 4x to both sides)
y = 4x + 9 (switch the constant and x-term)
This line has a slope of 4.
4x - y = 8
-y = 8 - 4x (subtract 4x from both sides)
y = -8 + 4x (divide both sides by -1)
y = 4x - 8 (switch the constant and x-term)
This line has a slope of 4.
4y - x = 8
4y = 8 + x (add x to both sides)
y = 8/4 + x/4 (divide both sides by 4)
y = x/4 + 2 (simplify and switch constant and x-term)
This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.
Answer:
4y - x = 8
Answer:
9.21954445729
Step-by-step explanation:
use distance formula
The first step in solving this problem is taking 2 and 3 and multiplying them (2 * 3 = 6) .
Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root (2sqrt(6)) This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.
Answer: She cycles 25% of the time
Step-by-step explanation:
From the question, Sally walks 15% of the time.
She drives 3/5 of the time.
We then convert 3/5 to percentage.
Converting to percentage means multiplying by a factor of 100.
Hence, Sally drives 3/5*100 = 60% of the time.
If Sally walks 15% of the time and drives 60% of the time, adding up the percentage time used by these two media of transportation will give us
60% + 15% = 75%
Hence if she cycles for the remainder of the time, expressing it as percentage would mean subtracting the time used in other means by 100%
Hence it will be 100% - 75% = 25%
