Solve for t t/5/12=-3/10

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.

Vinvika [58]

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

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8 0

2 years ago

A freezer has a volume of 54 ft.³ it has a length of 6 feet and a height of 3 feet what is the length of the width of the freeze

gogolik [260]

Ok so let’s see we have L and H but we don’t have the W so to find it we start by multiplying the numbers we do have which is L and H so 6x3=18 know that we did that we tasked the volume number which is 54 and we divide that by 18 so 54➗18 = 3 so our width is 3

Hope this helped :)

3 0

2 years ago

Riddle-if you solve it i will delete your answer and you have to post the riddle. Riddle-you enter a room. 2 dogs, 4 horses, 1 g

mrs_skeptik [129]

The answer will be either 8 or 4 or 0.

What is a riddle?

A riddle is an intentionally framed ambiguous question or statement that requires ingenuity and critical thinking to solve or understand.

In the given riddle, all the two dogs, four horses, one giraffe and a duck are lying on the bed. Three chickens are flying over a chair.

Assumptions:

1) Bed is placed on the ground.

2) Bed and chair considered are of standard type.

case1:

If we consider the legs of only living organisms, the number of legs on the ground at the given instant will be 0.

case2:

If that's not the case, then a typical chair will have four legs, and a standard bed will also have four legs. So a total of 8 legs will be on the ground or floor of the room.

case3:

And if we consider the possibility of the chair being placed on the bed, then the legs of the chair will not touch the ground. So a total of 4 legs will be on the ground or floor of the room.

∴ From different perspectives, the number of legs on the ground will be either 8 or 4 or 0.

Find more riddles here:

brainly.com/question/20140875

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5 0

3 years ago

Read 2 more answers

Anyone know the answers to 1, 2, 3, 4, 5

muminat

Answer:

1. C. 1/4(4) + 1/4(9) (A, 1/4(13), is essentially C simplified (without figuring it out).)

2. G - -4

3. A - -4(-5) + (-4)x

4. J - 1/6x + 1/6y

5. A - 60(10 + 2)

Step-by-step explanation:

1.

1/4(4 + 9) We can distribute 1/4 into 4 and 9.

1/4(4) + 1/4(9) Now while we have our answer, this can be further simplified.

1/4(13) What's on the left is the simplified 2-term equation.

So really, either C or A will be the answer. But due to the format of #3, I put C as my answer. B & D were out because there wasn't any extra multiplication.

2.

-2/5(15 - 5) Subtract 5 from 15 to get 10.

-2/5(10) Multiply -2/5 by 10 to get -20/5

-20/5 Divide -20 by 5 to get -4.

-4, so G is the answer. This was negative, so H & J were out to begin with. F was out as soon as I solved the problem.

3.

-4(-5 + x) Distribute -4 into -5 + x.

-4(-5) + (-4)x, so A is the answer. Don't get tricked! B may look right, but there should be a negative sign in front of the 5, hence why it's incorrect.

4.

1/6(x + y) Distribute 1/6 into x + y.

1/6x + 1/6y, so J is the answer. F & G are already out because you don't multiply the variables by each other. H is also out because there wasn't any multiplication involved other than x + y being multiplied by 1/6.

5.

Only 60(10 + 2) would have worked, so A is the answer. The tickets would have cost 720 dollars (600 + 120). B would have equated to 624 (24 + 600), C would have been 132 (6 * 22), and D would have been 600. (10 * 60).

6 0

3 years ago

Solve using quadratic formula x squared -2x-8=0

Aleks [24]

$x= \frac{-b\pm \sqrt{b^2-4ac} }{2a}$ for the equation $ax^2+bx+c$

Your question is $x^2-2x-8=0$

So $a=1 \\b=-2\\c=-8$

So plug in your numbers:
$x= \frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-8)} }{2(1)}$

Simplify:
$x= \frac{2\pm \sqrt{4-(-32)} }{2}$

Simplify a little more:
$\frac{2\pm6}{2}$

So our answer is
$x= \frac{2+ 6 }{2} = 4\\x= \frac{2- 6 }{2}=-2$

So $x=4, x=-2$

8 0

4 years ago

Read 2 more answers