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4 years ago

How to find the point that is equidistant from (5,-5) and (1,1)

Mathematics

1 answer:

torisob [31]4 years ago

7 0

<h3>Answer: (3, -2)</h3>

Explanation:

Your teacher wants you to find the midpoint. This is the point that is in the middle of the two given points. Let's call this M. So the distance from M to (5,-5) will be the same as the distance from M to (1,1)

The x coordinates of (5,-5) and (1,1) are 5 and 1 respectively.

Add them up: 5+1 = 6

Divide by two: 6/2 = 3

The x coordinate of the midpoint is x = 3

Repeat for the y values -5 and 1

Add: -5+1 = -4

Divide in half: -4/2 = -2

The y coordinate of the midpoint is y = -2

So the midpoint is M = (x,y) = (3,-2)

If you were to use the distance formula, you would find that

distance from (5,-5) to (3,-2) = distance from (3,-2) to (1,1)

This is what it means to be "equidistant" (aka "equally distant")

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David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on to

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Answer:

250 + 0.05 (1500)

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Step-by-step explanation:

i hope this helped :)

4 0

3 years ago

Read 2 more answers

Sketch a quadratic function with the given characteristics.

xeze [42]

Answer:

See photo below

Add arrows to the two ends of the parabola.

Step-by-step explanation:

To sketch this quadratic function, we to connect three dots: the two roots and a vertex.

The given roots are -1 and 1.

Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).

Vertex dot: V (x, y)

The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.

V (0, y)

Since the function increases when x < 0, the parabola will <u>open up</u>.

We read from left to right. The greater numbers are towards the top of the page.

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3 years ago

Factor completely 4u^2-28u+49

aleksandrvk [35]

Assignment: $\bold{Factor \ 4u^2-28u+49}$

<><><><><>

Answer: $\boxed{\bold{\left(2u-7\right)^2}}$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Rewrite $\bold{4u^2-28u+49}$

$\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

[ Step Two ] Apply perfect square formula

Note: Perfect Square Formula: $\bold{\left(a-b\right)^2=a^2-2ab+b^2}$

$\bold{a=2u,\:b=7}$

$\bold{\left(2u-7\right)^2}$

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$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

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4 years ago

Gordan and Harry had 340 marble,altogether.After Gordan gave away 2/5 of his marbles and harry gave away 20 of his marbles, they

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109.8
you take 240 and subtract that from 2/5.Then you subtract 20 and that gives you 219.6.Since they have the same amount of marbles left,you have to divide 219.6 by 2 and your answer is 109.8
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3 years ago

The state of Colorado covers about 1.04 * 105 square miles. The Indian Ocean covers about 2.808 * 107 square miles. How many tim

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Answer:

270 times

Step-by-step explanation:

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3 years ago