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denis23 [38]
3 years ago
5

What is the distance between the points (-2, 5) and (4, -3)?

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0
See the attachment..........

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How to find the variable
sergejj [24]
X=13 since the triangle adds up to 180, you know one side is 90 degrees and the other two angles are equal to each other because the opposite sides are equal to each other. the two angles must add up to 90 degrees so you divide by 2 and you get 45 degrees for each angle E and G and you set 3x+6=45. you subtract both sides by 6 and then you have 3x=39 and now divide both sides by 3 and x=13.
4 0
3 years ago
Find the equation of the line passing<br> through the points (3,-2) and (4, 6).<br> y = 8x + [?]
Sauron [17]

Step-by-step explanation:

1.) Plug in one of the points.

y = 8x + b

6 = 8(4) + b

2.) Solve for b (or [?])

6 = 32 + b \\  - 32 \:   \:  \:  \:  \:  \:  \:  \:  \:  - 32

32 cancels out on the right side.

Subtract 32 from 6, which is -26

3.) -26 = b

4.) Check with other point:

-2 = 8(3) + b

-2 = 24 + b

Cancel out 24 on the right side: 24-24 = 0

-2 - 24 = -26

-26 = b

4 0
3 years ago
Please help with this question!!
xxMikexx [17]

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\\\\l\perp k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the points J(-24, -4) and K(-4, 6)}.\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{substitute:}\\\\m_1=\dfrac{6-(-4)}{-4-(-24)}=\dfrac{10}{20}=\dfrac{1}{2}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2\\\\\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{substitute the coordinates of the points J and K:}

x=\dfrac{-24+(-4)}{2}=\dfrac{-28}{2}=-14\\\\y=\dfrac{-4+6}{2}=\dfrac{2}{2}=1\\\\\text{midpoint}\ (-14,\ 1)\\\\\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\\text{substitute}\ m=-2,\ x_1=-14\ \text{and}\ y_1=1:\\\\y-1=-2(x-(-14))\\\\\boxed{y-1=-2(x+14)}

8 0
3 years ago
Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years
Mkey [24]

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

7 0
4 years ago
Divide 36x^3-96x^2+48x by 12x
sergij07 [2.7K]

Answer:

3x^2  - 8x + 4.

Step-by-step explanation:

36x^3 - 96x^2 + 48x

Dividing by 12  term by term:

= 3x^2  - 8x + 4.

5 0
3 years ago
Read 2 more answers
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