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Alexxx [7]
3 years ago
12

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the

distance from point P to point R. 4.9 4.7 2.5 2.3
Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0

Answer: I Believe its 2.3

Step-by-step explanation:

P is located at (-2,7)

R is located at (1,0)

Look at the y coordinates

P(-2,7)  R(1,0)

7 to 0= distance of 7

multiply 2/3 by 7 = 4.7      (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)

Now plug in the info we know:

.y axis = 7 - 4.7 = 2.3

Hope this helped! Im taking the test and ill be back if this is wrong

BARSIC [14]3 years ago
6 0

Answer:

5.1

Step-by-step explanation:

Before we calculate  the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given P(−2, 7), and R(1, 0)

RP = √(1-(-2))²+(0-7)²

RP = √3²+(-7)²

RP = √9+49

RP =√58

To get the y value for point Q that is located two thirds the distance from point P to point R, this will give

PQ = y = 2/3 of √58

= 5.1

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A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
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Answer:

The number of liters of 25% acid solution = x = 160 liters

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Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

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We substitute 240 - y for x in Equation 2

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Collect like terms

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Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

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