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lutik1710 [3]
3 years ago
9

Point R is the midpoint of line QS. R is located at (5, -7.5) S is located at (-1,-13) What is the location of Point Q?

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer: ( 11, -2 )

Step-by-step explanation:

The mid point of a line is calculated using the formula:

M = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2} )

From the question , the mid point is already given , substituting , we have :

(5 , - 7.5 ) = (\frac{x-1}{2} , \frac{y-13}{2} )

Equating the x component to x and the y component to y , we have

5 = \frac{x-1}{2}

x - 1 = 10

x = 11

Also

- 7.5 = \frac{y-13}{2}

-15 = y - 13

-15 + 13 = y

Therefore : y = -2

Therefore : the location of point P is ( 11, -2 )

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The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
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The system of equations: (two equations for two unknowns)
x + y = 5
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Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
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then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
3 years ago
A grocery store sells snacks by weight. A six-ounce bag of mixed nuts costs $3.60. Predict the cost of a two-ounce bag. Please h
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<span>since a 2 ounce bag is 1/3 of a 6 ounce bag, I predict it will cost one third of $3.60. 
  
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6 0
3 years ago
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Answer:

1/12

Step-by-step explanation:

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4 0
2 years ago
I don’t understand how to solve this
Bezzdna [24]

Answer:

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Step-by-step explanation:

The height of the main triangle is,

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so to find x,

tan(44) = h/x

x = h/tan(44)

x = 42.1 (rounded to the nearest tenth)

Answered by GAUTHMATH

8 0
3 years ago
THIS IS 90 POINTS:<br> what is 15m+35 graphed?
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