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Elan Coil [88]
3 years ago
12

Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates belo

w

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

(-3, 2)

Step-by-step explanation:

Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

P(-4, 4) = (x_1, y_1)

E(0, -4) = (x_2, y_2)

m = 1, n = 3

Plug in the necessary values to find x and y coordinates for point Q as follows:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{1(0) + 3(-4)}{1 + 3}

x = \frac{0 - 12}{4}

x = \frac{-12}{4}

x = -3

y = \frac{my_2 + ny_1}{m + n}

y = \frac{1(-4) + 3(4)}{1 + 3}

y = \frac{-4 + 12}{4}

y = \frac{8}{4}

y = 2

The coordinates of the point Q are (-3, 2))

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Please help! Greatly appreciated sorry for really bad quality
Degger [83]
The first answer.

Point P is at (50,-40) the distance from Q to P is 80 units which you can find by subtracting the x of Q (-30) from the x of P (50).
50-(-30)=80
It then tells you point R is vertically above point Q so you know your x value for R will be the same as Q.
Add your distance from Q to P of 80 units to the y value of Q because you are traveling up.
-40+80=40
R will have a point of (-30,40) and a distance of 80 units
7 0
3 years ago
It takes 12 men 8 days to construct a wooden shed. How many days will 15 men take?
Fynjy0 [20]

Answer:

10 days.

Step-by-step explanation:

8÷12 (because you can not divide people.

.666

take that and multiply it by 15

you will get 10

6 0
3 years ago
Lucy is tiling her bathroom. She buys white and blue tiles in the
balandron [24]

Answer:

£289.20

Step-by-step explanation:

13:2 = x:16 or 13/2 = x/16

cross multiply: 208 = 2x

simplify: x = 104

16 blue tiles x £2.80 each = £44.80

104 white tiles x £2.35 each = £244.40

44.80 + 244.40 = £289.20

7 0
3 years ago
Simplify. (-7y^2+4y+9)+(6y^2-5y+9)-(2y^2-9y-2)
Natali5045456 [20]

Combine like terms

-7y² + 6y² - 2y² = -3y²

4y + (-5y) - (-9y) = 4y - 5y + 9y = 8y

9 + 9 - (-2) = 9 + 9 + 2 = 20

-3y² + 8y + 20 is your answer

hope this helps

7 0
3 years ago
If 5/8 yards of fabric costs 3.75 dollars what does one yard cost
Sladkaya [172]
3.75 / 5 =0.75
0.75 x 8 = 6
So one yard is 6
Sorry, I’m not American so I don’t know about dollars but this should be correct x
4 0
3 years ago
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