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
Ulleksa [173]
3 years ago
8

Point m is the midpoint of kL. M(1,-1) and L(8,-7. What are the coordinates of point k?

Mathematics
1 answer:
Phoenix [80]3 years ago
3 0

Answer: (-6, 5)

<u>Step-by-step explanation:</u>

Use the Midpoint Formula: \dfrac{(x_k, y_k)+(x_L,y_L)}{2}=(x_m, y_m)

Separate the x's and y's and solve them individually:

\dfrac{x_k+x_L}{2}=x_m\qquad \qquad \qquad \qquad\dfrac{y_k+y_L}{2}=y_m\\\\\\\dfrac{x_k+8}{2}=1\qquad \qquad \qquad \qquad \qquad \dfrac{y_k-7}{2}=-1\\\\\\x_k+8=2\qquad \qquad \qquad \qquad \qquad y_k-7=-2\\\\\\x_k\quad =-6 \qquad \qquad \qquad \qquad \qquad y_k\qquad =5

            So, the k-coordinate is (-6, 5)

You might be interested in
What is the insurance premium for a 42-year old nonsmoking female ($6.75) who wants $125,000 in coverage?
Lera25 [3.4K]

Answer:

The question is missing the sample life insurance premium illustration  as found in the attached.

The correct option based on the below calculation is A,$33.75

Step-by-step explanation:

A female non-smoker  who wanted a coverage of $25,000 as found in attached the sample life insurance premium illustration would pay $6.75 in premium.

Based on the above, a female non-smoker who wanted a coverage of $125,000 has it premium computed thus:

premium=$125,000/$25,000*$6.75

premium=5*$6.75=$33.75

The correct option is A,$33.75

Download xlsx
8 0
3 years ago
Read 2 more answers
The endpoints of DE and D(-3, y) and x, 6). The midpoint of DE is M(4,2). What is the length of DE.
Natasha_Volkova [10]

If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units

The formula for calculating the midpoint is expressed as;

M(x,y)=(\frac{x_1+x_1}{2}, \frac{y_1+y_2}{2})

For the x-coordinate points:

X = -3+x/2

4 * 2 = -3 + x

8 = -3 + x

x = 8 + 3

x = 11

Get the value of y;

2 = y+6/2

y+6 = 2 * 2

y + 6 = 4

y = 4 - 6

y = -2

Hence the coordinates of D and E are D(-3, -2) and E(11, 6)

D=\sqrt{(6-(-2))^2+(11-(-3))^2}\\D=\sqrt{8^2+14^2}\\D=\sqrt{64 + 196}\\D=   \sqrt{260}\\D= 16.12units

Hence the length of DE is 16.12 units

Learn more here; brainly.com/question/22624745

3 0
2 years ago
39,975 + 6.5% tax rate every month
Mumz [18]

1014.065 hope this helps

3 0
3 years ago
Find A and B if the graph of Ax + By = 12 passes through (2,1) and is parallel to the graph of 2x - 7y = 3
Ivenika [448]

Answer:

24-21

Step-by-step explanation:

2×12=24 7×3=21 I started from 2×2 towards 2×12 when I got the answer and I started 7×1 towards 7×3

4 0
2 years ago
"You want to purchase a North Face jacket for $180. You have already saved $115 and can set aside $13 a week.
ale4655 [162]

Answer:

115 + 13w \geq 180

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Which best describes the shape of the distribution
    14·1 answer
  • Write the expression in factored form.<br> m²-nt
    12·1 answer
  • Either enter an exact answer in terms of .. or use 3.14 for ..
    10·1 answer
  • Drag the tiles to the correct boxes to complete the pairs. Match each inequality to the number line that represents its solution
    5·1 answer
  • Catherine paid $200.34 for an MP3 player. If the price paid includes a 6% sales tax, which of the following equations can be use
    13·1 answer
  • Can you show work for all of these and match them
    9·1 answer
  • Select the correct answer.
    10·2 answers
  • 20 points!~ And thanks if you help me.
    15·1 answer
  • What’s the graph for the equation
    8·1 answer
  • Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!