Answer:
<h2>k = 2</h2>
Step-by-step explanation:
ΔOLN and ΔONM are similar. Therefore the sides are in proportion:
We have:
OL = 8
ON = 4
OM = k
Substitute:
<em>cross multiply</em>
<em>divide both sides by 8</em>
Answer:
Step-by-step explanation:
5.14285714286
Find 2 points on the line:
We will use (2,2) and (0,-6)
Find the slope of the line which is the change in Y over the change in X:
(-6-2) / (0-2) = -8/-2 = 4
The slope = 4
Find the Y intercept:
y = 4x+b
use y1 for y and x1 for x
2 = 4(2) +b
2 = 8 +b
Subtract 8 from both side:
b = -6
Now you have the slope (4) and Y intercept (-6)
The equation of the line becomes y = 4X-6
The line is solid and the shaded portion of the graph is to the left of the line and it is a positive slope so the inequality would become
y ≥ 4x -6
A rectangle has four sides and the width and length are the same as the other width and length so 11 times 2 is 22 and 38-22 is 16 so the perimeter of the width added together is 16 so then divide them by 2 and the width of the rectangle is 8.
Answer:
Step-by-step explanation:
<u>Given parabola:</u>
<u>Complete the square to convert the equation into vertex form:</u>
- y = x² - 8x + 13 =
- x² - 2*x*4 + 4² - 4² + 13 =
- (x - 4)² - 16 + 13 =
- (x - 4)² - 3