Answer: d
Step-by-step explanation:
Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2
Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1
The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1
Slope of side KL = m KL = m MN = Slope of side MN
The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN
Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1
Answer:
13/4 - (13,4) - however your teacher wants you to write it out.
Step-by-step explanation:
Rise (y) over Run (x)
Equation:
y2 - y1
over
x2 - x1
Inputting the numbers, 6 - -7 (aka 6+7) over -3 - -7 (aka -3+7)
6+7 = 13
-3+7 = 4
13/4 - The line is rising moving towards the right.
Hope I helped!
Answer:
12π ≈ 37.7
Step-by-step explanation:
A = π*r² - π*r²/4
A = 3πr²/4
r = 4
A = 3π(4)²/4
A = 12π ≈ 37.7
