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-
B
EXPLANATION-
log6 x^6 + 2log6 y
log6 x^6 + log6 y^2
log6(x^6 y^2)
the way the question is written it looks like it is 134*24 divided by 5 to the 3rd power:
134 *23 = 3082
5^3 = 125
3082 / 125 = 24.656
round answer as needed.
<span>Simplifying
14x + -21xy
Factor out the Greatest Common Factor (GCF), '7x'.
7x(2 + -3y)
Final result:
7x(2 + -3y)
that is the answer on how to do it</span>
From the right triangle formed, the adjacent side to the angle of elevation is 5 miles and the vertical change in elevation is the opposite side. From the trigonometric function, tangent of an angle,
tan 12° = x / 5 miles
The value of x from the equation is 1.06 miles. Thus, the vertical change in elevation is 1.06 miles.
