1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Whitepunk [10]
3 years ago
9

Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4) and the coordinates of M are M(3,-2) find the slopes of side

s KL,LM,MN,and NK

Mathematics
2 answers:
m_a_m_a [10]3 years ago
5 0
We can start by finding the gradient of LM
m= \frac{ y_{2}- y_{1}  }{x_{2} - x_{1} }  = \frac{-2--4}{3-1} = \frac{2}{2}=1

Two perpendicular lines will meet the requirement m_{1}×m_{2}=-1
Two parallel lines have equal gradients

NM is perpendicular to LM, hence the gradient of NM is -1
KN is a line that is parallel to NM, hence the gradient is 1
KL is perpendicular to LM, hence the gradient of KL is -1

Otrada [13]3 years ago
3 0

Answer:

The slope of LM is 1, slope of KL is -1, slope of MN is -1 and the slope of NK is 1.

Step-by-step explanation:

It is given that quadrilateral KLMN is a rectangle and the coordinates of L are L(1,-4) and the coordinates of M are M(3,-2).

If a line passing though two points, then the slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}

The slope of LM is

m_{LM}=\frac{-2-(-4)}{3-1}=1

The slope of LM is 1.

Two consecutive sides of a rectangle are perpendicular and the product of slopes of two perpendicular lines are -1.

m_{KL}\times m_{LM}=-1

m_{KL}\times 1=-1

m_{KL}=-1

The slope of KL is -1.

The opposite sides of a rectangle are parallel and the slope of parallel lines are same.

Therefore, the slope of MN is -1 and the slope of NK is 1.

You might be interested in
50 PTS FOR RIGHT AWNSER!! PLZZ HELP!!! PLZZZ SOS!! THANK YOU!!
Marrrta [24]

Answer:

this is a big guess 36? ...

8 0
3 years ago
HELP PLS explain how you can tell that the lines 4x-10=-3 are collinear by looking equations
Mashcka [7]
<span><span>Solve the system for x and y.</span><span>2y = x + 8</span><span>2y − 10 = 2x</span> <span>A) x = </span>−<span>3, y = 2</span> <span>B) x = </span>−<span>2, y = 3</span> <span>C) x = </span>−<span>5, y = 2</span> <span>D) x = 0, y = -5</span></span>
4 0
2 years ago
What's the verbal expression for 100-5n
Yuri [45]
Five times a number less than one hundred.
6 0
3 years ago
Read 2 more answers
Are the equations sometimes, always, or never true?
AURORKA [14]
15 + 2x - 4 = 9x + 11 - 7x
2x + 11 = 2x + 11
always true

2x + 3(4x - 1) = 2(5x + 3) + 4x
2x + 12x - 3 = 10x + 6 + 4x
14x - 3 = 14x + 6
never true
4 0
3 years ago
(-w^3 + 8w^2 – 3w) + (-8w^2 + w + 3) =
kherson [118]
The expression simplified is -w^3-2w+3

I hope this helped
4 0
3 years ago
Other questions:
  • Math help pls,,, thank you !! will reward. &lt;3
    8·1 answer
  • How to graph y=4 to the x
    13·2 answers
  • a share of wonder stock rose 4 points on Monday. on Tuesday it fell 6 points. what was it's total loss or gain​
    11·1 answer
  • The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely. 81x2 – 49 The
    6·2 answers
  • WHAT IS THE DOMAIN OF (F+G) (X) ?
    7·1 answer
  • To reduce 16 ounces of a 25% solution of antiseptic to a 10% solution, how much distilled water should a nurse add?
    9·1 answer
  • Francis has 4 square baking dishes each pan is 7 inches × 7.inches ×2 which expression will give her the total volume of all the
    15·1 answer
  • Henry examined the table that represents values satisfying the function f(x) shown below.
    12·1 answer
  • At the supermarket, a certain brand of plain yogurt comes in thre
    13·1 answer
  • I need help. #1 has been done. Only 2-6 needs to be solved.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!