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Butoxors [25]
1 year ago
11

Given the points P(-3; 2), Q(2; 7) and R(-10; y). Determine the values of y if P is equidistant from Q and R.​

Mathematics
1 answer:
Vinvika [58]1 year ago
8 0

The values of y are 1 and 3

What is distance formula -

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

x1 and y1 are x and y coordinates of a point.

similarly x2 and y2 are x and y coordinates of another point.

Explanation with steps -

As point P is equidistant from Q and R, the distances PQ and PR should be the same.

So, calculate distance PQ can be calculated from the above formula

The distance PQ is \sqrt{50}

now use this distance to calculate the unkown 'y'

\sqrt{50} = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\sqrt{50} = \sqrt{(-10-(-3))^2+(y-2)^2}

\sqrt{50} = \sqrt{49+(y-2)^2}

Squaring both sides

50 = 49 + (y-2)^{2}

y^{2}-4y+3=0

On factorizing,

(y-1)(y-3)=0

Thus we get values of y to be 1 or 3

To see more about distance formula

refer : brainly.com/question/1872885

#SPJ2

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3 years ago
9/x+7 = 4<br> i need the answer for my homework, please help x
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2 years ago
The frog population at a lake doubles every week. The population can be modeled by f(x) = 15(2)^x and f(6) = 960. What does the
Svetach [21]

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6 0
3 years ago
Read 2 more answers
Solve for 2:<br> 7x + 156°<br> 9x + 184°
Natalija [7]

Answer:

x = -14

Step-by-step explanation:

Simplifying

7x + 156 = 9x + 184

Reorder the terms:

156 + 7x = 9x + 184

Reorder the terms:

156 + 7x = 184 + 9x

Solving

156 + 7x = 184 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

156 + 7x + -9x = 184 + 9x + -9x

Combine like terms: 7x + -9x = -2x

156 + -2x = 184 + 9x + -9x

Combine like terms: 9x + -9x = 0

156 + -2x = 184 + 0

156 + -2x = 184

Add '-156' to each side of the equation.

156 + -156 + -2x = 184 + -156

Combine like terms: 156 + -156 = 0

0 + -2x = 184 + -156

-2x = 184 + -156

Combine like terms: 184 + -156 = 28

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Divide each side by '-2'.

x = -14

Simplifying

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3 0
3 years ago
I need Help plz...!!!!
kirill [66]

Answer:

B.21.3 is the correct answer

Step-by-step explanation:

1/2*x+1/4*x=16

x/2+x/4=16

2x+x/4=16

3x/4=16

3x=16*4

3x=64

x=21.3

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