1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:
m*(-4) = -1
-4m = -1
m = 1/4
2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:
y - y1 = m(x - x1)
y - 6 = (1/4)(x - 2)
y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))
y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)
y = (1/4)x + 11/2 (Evaluate -1/2 + 6)
Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2
Answer:
5x-20
Step-by-step explanation:
since it says "product of 5 and x" we know that 5 and x is being multiplied
5x
since it says 20 less than we know that we need to subtract 20 from 5x
5x-20
Answer:
3 and 1/2 minus 2/3 minus 1/3 =
7/2 minus 2/3 minus 1/3 =
21/6 minus 4/6 minus 2/6 =
17/6 - 2/6 =
15/6 = 5/2 = 2 and 1/2
Optionally, you can think of it this way:
He used 2/3 yards for the pillow and 1/3 yard for the scarf.
So he used 1 yard
3 and 1/2 minus 1 = 2 and 1/2 = 5/2
Step-by-step explanation:
What’s the rest of the question
