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muminat
3 years ago
11

Find the distance between the points (10, 12) and (10, -8). units

Mathematics
2 answers:
MrMuchimi3 years ago
4 0

Answer:

Step-by-step explanation:

RUDIKE [14]3 years ago
3 0

pt1= (10,12)

pt2= (10,-8)

_________________

distance = √ (x1 - x2)² + (y2 - y1)²

_________________

=√ (0)² + (-20)²

______

=√400

=20 units

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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

3 0
2 years ago
Answer the question in the picture.
nlexa [21]

Answer:

The answer is C

Step-by-step explanation:

Reflecting across the y-axis is like folding across the y-axis.

2,-2, turns into -2,-2

Hope this helped!

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=7%20-%20%28-3.4%29%20%2B%201.8" id="TexFormula1" title="7 - (-3.4) + 1.8" alt="7 - (-3.4) + 1.
Novosadov [1.4K]

Answer:

i think the answer is 5.4

Step-by-step explanation:

:)

5 0
2 years ago
Given the following figure. Which of the following is congruent with the figure above
tigry1 [53]
F and E are congruent with the figure above
3 0
3 years ago
What is 18,300,000 rounded to the nearest tenth
max2010maxim [7]
13,000,000 rounded to the nearest tenth is 18,000,000
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