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ratelena [41]
4 years ago
10

given the midpoint of segment KL is M(-1,1) and L id (8,-7). what are the coordinates of the endpoint K

Mathematics
1 answer:
harina [27]4 years ago
3 0

Answer:

Step-by-step explanation:

The answer is (-6, 5) for K.

In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 8)/2 = 1

Kx + 8 = 2

Kx = -6

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -7)/2 = -1

Ky + -7 = -2

Ky = 5

This gives us the final point of (-6, 5)

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The time it takes to fly from Paris to London is normally distributed. If the mean flight time is 80 minutes with a standard dev
Simora [160]

Answer:

13.60%

Step-by-step explanation:

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5 0
3 years ago
Smiths bakery is baking several large cakes for a community festival. The cakes consist of two geometrically similar shapes as s
Studentka2010 [4]

Answer:

Approximately 313 cakes of similar size as those 50 cut from the smaller cake, can be cut from the bigger cake.

Step-by-step explanation:

The complete question is with the missing image of the cakes is attached to this solution.

From the image provided, the dimensions of the smaller cake = 2 ft × 1.6 ft

The dimensions of the larger cake = 5 ft × 4 ft

50 cakes are obtained from the smaller cake, how many cakes can be obtained from the bigger cake?

Area of the smaller cake = 2 × 1.6 = 3.2 ft²

Area of the bigger cake = 5 × 4 = 20 ft²

3.2 ft² cake provides 50 cakes.

20 ft² cake will provide (20×50/3.2) cakes = 312.5 cakes

Rounded to the nearest piece of cake = 313 cakes

Hope this Helps!!!

6 0
3 years ago
Read 2 more answers
Help!? I have to use elimination to solve it btw
anygoal [31]

Answer:

(-4, 5)

Step-by-step explanation:

The problem is a system of equations where you have two variables and can use the method of eliminate (eliminating one of the variables) to solve.  In this case, you will need to multiply one of the fractions by a factor to eliminate a variable.  It seems easiest to multiply the first equation by a factor of -5:

-5(x - 3y) = -24 (distribute) -5x + 15y = 120

Add the equations:

-5x + 15y = 120

<u>+5x + 8y = -5</u>

      23y = 115 (divide by 23)

         y = 5

Solve for 'x':  x - 3(5) = -24 or x - 15 = 24 (add 15) x = -4

Ordered pair: (-4, 5)

7 0
4 years ago
Read 2 more answers
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a s
BlackZzzverrR [31]

Given:

Bedroom is a rectangle with length 5 m and width 3 m.

Elena's bedroom door is 0.08 m.

Elena's bed measures 4 cm by 3 cm.

Scale of drawing is 1 to 50.

To find:

The width of door on the scale drawing.

Actual measurements of her bed.

Step-by-step explanation:

Scale of drawing is 1 to 50.

It means, the length of sides in drawing is \dfrac{1}{50} of actual.

Elena's bedroom door is 0.08 m.

1 m = 100 cm

0.08 m = 8 cm

Door on the scale drawing =\dfrac{1}{50}\times 8

                                             =0.16

Therefore, the Door on the scale drawing is 0.16 cm wide.

Elena's bed measures 4 cm by 3 cm on the scale drawing.

Elena's bed actual measurements are

4\times 50=200cm=2m

3\times 50=150cm=1.5m

Therefore, the actual measurements of her bed is 2 m by 1.5 m.

6 0
3 years ago
Use the number line to find the absolute value of 7.
FromTheMoon [43]

Answer:

C

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4 years ago
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