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3 years ago

maria ran 12 miles las week phoebe ran 60 miles last week how many times as far did phoebe run compared to the

Mathematics

1 answer:

notsponge [240]3 years ago

5 0

5 times as far take 60 and divide by 12 and you get 5

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What are the coordinates of the point on the directed line segment from (−1,−8) to (5,−2) that partitions the segment into a rat

Lana71 [14]

Answer:

There are two possible options: $P(x,y) = (1, -6)$ or $P(x,y) = (3, -4)$ .

Step-by-step explanation:

There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:

$P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)]$ (1)

Where:

$A(x,y)$ - Point of origin.

$B(x,y)$ - Point of destination.

$r$ - Partition factor.

Option 1: $A(x,y) = (-1, -8)$ , $B(x,y) = (5, -2)$ , $r = \frac{1}{3}$

$P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)]$

$P(x,y) = (-1, -8) + \frac{1}{3}\cdot (6,6)$

$P(x,y) = (-1,-8) + (2,2)$

$P(x,y) = (1, -6)$

Option 2: $A(x,y) = (5,-2)$ , $B(x,y) = (-1,-8)$ , $r = \frac{1}{3}$

$P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)]$

$P(x,y) = (5,-2) +\frac{1}{3}\cdot (-6,-6)$

$P(x,y) = (5,-2) +(-2,-2)$

$P(x,y) = (3, -4)$

There are two possible options: $P(x,y) = (1, -6)$ or $P(x,y) = (3, -4)$ .

4 0

3 years ago

Daqui a 5 anos karina terá 37 anos. usando a letra X, escreva uma equação que permita calcular a idade que karina tem hoje. Me a

Tems11 [23]

Answer:

x + 5 = 37

Step-by-step explanation:

Hoje tem x anos.

Daqui a 5 anos será 5 anos mais velha. A sua idade será x + 5 anos.

Daqui a 5 anos, a sua idade será 37 anos.

x + 5 = 37

8 0

3 years ago

Which is the graph of 2x + 3y > -3?

disa [49]

Answer:

the third one

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

a company stock begins the week with a price of $43.85 per share. The price changes by $2.70 each day for 2 days. Then the price

MrRissso [65]

43.85 + 2(2.70) - 2(1.10) - 4.45 = 43.85 + 5.40 - 2.20 - 4.45 = 42.60 per share

6 0

3 years ago

A, B, C, and D have the coordinates (-8,1), (-2,4), (-3, -1), and (-6,5) respectively. which sentence about the points is true?

Trava [24]

Answer:

Option B is correct.

Step-by-step explanation:

To check if the lines are parallel or perpendicular, we need to find the slope of lines AB and CD

A=(-8,1), B= (-2,4), C= (-3, -1), and D= (-6,5)

Slope of AB = y₂-y₁/x₂-x₁

Slope of AB = 4-1/-2-(-8)

Slope of AB = 3/-2+8

Slope of AB = 3/6

Slope of AB = 1/2

Slope of CD = y₂-y₁/x₂-x₁

Slope of CD = 5+1/-6-(-3)

Slope of CD = 6/-6+3

Slope of CD = 6/-3

Slope of CD = -2

Lines are parallel if Slope of AB = Slope of CD

Lines are perpendicular if Slope of Ab = -1/Slope of CD

So, Slope of AB = 1/2

Slope of CD = -2

So, LINE AB AND LINE CD ARE PERPENDICULAR

Option B is correct.

6 0

3 years ago