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fiasKO [112]
3 years ago
10

A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?

Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

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ozzi

Answer:

Check the explanation

Step-by-step explanation:

Part (A)

Kindly check the First attached image below to get the explanation the part A question.

Part (B)

As calculated in part (A), if we have 40 numbers of buns and hot dogs, there are no leftovers.

So every multiple of 40, will ensure no leftovers.

40, 80, 120, 160, 200, 240, 280, 320...

since 300 people are attending, 320 such buns and hot dogs are required.

packages of Bun = 320/8 = 40

packages of hot dogs = 320/10 = 32

(bun package,hot dog package) = (40,32)

Part (D)

In part (C), it came out the ratio

(buns packages : patties packages : jar of pickles) = (3:2:4)

Kindly check the Second attached image below

so to feed 420 people,

24*k > 420 such that minimum value of k

k = 18

so total 432 hamburgers will be formed.

Bun packages = 432/8 = 54

Patties packages = 432/12 = 36

Pickle jar = 432/6 = 72

so answer is (bun package, patties package, pickle jar) = (54,36,72)

4 0
3 years ago
WILL MARK BRAINLIEST AND GIVE 100 POINTS! WILL REPORT IF INCORRECT
grigory [225]

please refer to this image

please don't report this answer if it is wrong

but if its correct so please mark me as brainlist

5 0
2 years ago
Which is bigger, 4/3 or 4/4
velikii [3]

Answer:

4/3

Step-by-step explanation:

This is just one of the ways you can do it

find the decimal or divide each fraction

so for the first one 4/3

4 divide by 3 is 1.33333

while 4 divide by 4 is 1

Compare

1.333333 and 1

Of course, 1.33333 is bigger than 1

so 4/3 is the correct answer

Hope this helps :)

4 0
3 years ago
Read 2 more answers
If 7 cans of spinach soup cost $49, how much do 10 cans cost?
Leni [432]
Take 49 and divide it by 7 and you get 7. 7 times 10 is 70. Your answer is $70.
4 0
3 years ago
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Ten percent of the reds are added to twenty percent of the blues, and the total is 24. Yet the product of the number of reds and
salantis [7]
0.10r + 0.20b = 24
3r = b + 20....b = 3r - 20

0.10r + 0.20(3r - 20) = 24
0.10r + 0.60r - 4 = 24
0.70r = 24 + 4
0.70r = 28
r = 28/0.70
r = 40 <=== there are 40 reds

0.10r + 0.20b = 24
0.10(40) + 0.20b = 24
4 + 0.20b = 24
0.20b = 24 - 4
0.20b = 20
b = 20/0.20
b = 100 <=== there are 100 blues

5 0
3 years ago
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