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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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densk [106]

Answer:

$5,250

Step-by-step explanation:

2/7x - [4/5(2/7x)] = 300

2/7x - 8/35x = 300

10/35x = 8/35x = 300

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6 0
3 years ago
Is 1.32 a rational number or integer
Ivahew [28]

Answer:

A rational number.

Step-by-step explanation

A rational number is a ratio of whole numbers.

1/3 is the ratio of 1:3

3:1 becomes 3/1 = 3

32:10 can be written 32/10 or 16/5 or 3.2

16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.

Therefore, 3.2 which can be expressed as 16/5 is a rational number.

6 0
3 years ago
Write a system of equations in x and y describing the situation. Do not solve the system. Keiko has a total of $ 5600 comma$5600
IgorLugansk [536]

Answer:

The correct answers are x + y = 5600 and x - y = 700.

Step-by-step explanation:

Write a system of equations in x and y describing the situation. Do not solve the system.

Keiko has a total of $ 5600, which she has invested in two accounts.

Let x be the amount of money in the larger account and y be the amount of money in the smaller​ account.

So, Keiko has invested her $5600 in two accounts x and y.

Thus x + y = 5600.

Also, given by the problem, the larger account (x) is $ 700 greater than the smaller account (y).​

Thus x - y = 700.

Thus the two system of equation in x and y describing the given situation are

x + y = 5600 and x - y = 700

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OlgaM077 [116]

Answer:

C

Step-by-step explanation:

7

4 0
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