Answer:
The equation of the line would be y = -1/6x + 1
Step-by-step explanation:
In order to find this, we first need to set the slope. Since the original slope is 6, we know the new slope to be -1/6. This is because perpendicular slopes have opposite and reciprocal slopes. So, we put this and the point into point-slope form.
y - y1 = m(x - x1)
y - -1 = -1/6( x -12)
y + 1 = -1/6x + 2
y = -1/6x + 1
Answer:
Part A. C=9
Part B. (w+3)² =139
Part C. w = 8.8 inch
Step-by-step explanation:
Given from the question length of the the picture = (2w+12) inches
Width of the picture = w inches
Area of the picture = 260 inch²
Part A. Area of the picture with the given dimensions= w×(2w+12)
Or w(2w+12) = 260
2w²+12w = 260
2(w²+6w) = 2×(130)
w²+6w = 130
Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c
Therefore for c = 9 we will get a perfect square trinomial.
Part B. As we have seen the equation in part A.
As required equation will be (w+3)²=139
Part C. Since (w+3)² = 139
Then by taking under root on both the sides of the equation
(w+3) =√139 = 11.8
(w+3)-3=11.8-3
w = 8.8 inch
Given:
quarterly deposits of 2,000
8 percent compounded quarterly ⇒ 2% per quarter
4 quarters in 15 years = 60 quarters
Future Value = (1 + r) x P [{(1+r)^n - 1} / r]
FV = (1 + 0.02) x 2,000 [{(1 + 0.02)⁶⁰ - 1} / 0.02]
FV = 232, 665.14 Choice B.
First find the slope:
The slopes of perpendicular lines must multiply to -1.
-9m = -1 ----> m = 1/9
Next, use point-slope form:
y - y1 = m(x-x1) , where given point (0,5) is (x1,y1)
y - 5 = (1/9)(x - 0)
Finally, solve for y to put it in slope-intercept form:
y = (1/9)x + 5
