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3 years ago

Find the coordinates of the midpoint of each segment and find the length of each segment

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

Answer:

Is this the whole question or u cut it?

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Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

3 0

3 years ago

How many solutions does the following equation have? (5 points) |6x + 12| = −18 No solution One solution Two solutions Infinitel

erastovalidia [21]

No solutions. the answer to an absolute value equation like this one only produced positive numbers, not negative

4 0

3 years ago

Which linear system of equations does the matrix represent 4 -7 -14 4 -12 4

Novosadov [1.4K]

The given matrix represent the following linear system

4x - 7y = -12
-14x + 4y = 4

Good luck!!!

4 0

3 years ago

PLS HELP PLS HELP PLSSSS

serious [3.7K]

Answer:

find the bottom angle of the triangle on the right side.

180 - 92 = 88

Now find x

88+36 = 124

180-124 = 56 = x

Hope that answers your question

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Prove that the two circles shown below are similar.

Setler [38]

Answer:

The scale factor is $\frac{R_{A}}{R_{C}}=\frac{5}{2}$

We can say that both circles are similar.

Step-by-step explanation:

If we move the little circle to the center of the bigger circle, so the translate vector will be (3,5).

Now we realize that the bigger circle is just a dilation of the smaller circle, the scale factor is:

$R_{A}=5$

$R_{C}=2$

$\frac{R_{A}}{R_{C}}=\frac{5}{2}$

Therefore, we can say that both circles are similiar.

I hope it helps you!

8 0

3 years ago