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Ksenya-84 [330]
2 years ago
9

What is the slope of a line perpendicular to the line whose equation is 3x-3y=54. Fully simplify your answer.​

Mathematics
1 answer:
padilas [110]2 years ago
7 0
Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1

Solution: the slope will be -1
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VashaNatasha [74]
For the first one you need to do
x+2+x+2+2x+4+2x+4
=6x+12

When doing this kind of problem you should use FOIL
First, Outer, Inner, Last
(x+2)(2x+4)
First- x•2x= 2x^2
Outer- x•4= 4x
Inner- 2•2x= 4x
Last- 2•4= 8

Combined you have
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5 0
2 years ago
The altitude of an equilateral triangle is 5 cm. what is the length of a side of the triangle?
Grace [21]

Answer:

The length side of the triangle is \frac{10\sqrt{3}}{3}\ cm

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles of measure of 60 degrees each.

Let

b------> the length side of the equilateral triangle

Applying Pythagoras theorem

b^{2}=(b/2)^{2}+5^{2}\\\\ b^{2}-(b/2)^{2}=25\\\\ (3/4)b^{2}=25\\ \\b^{2} =25*4/3\\ \\b=\frac{10}{\sqrt{3}}\ cm\\ \\b=\frac{10\sqrt{3}}{3}\ cm

3 0
3 years ago
I’m so bad at slope
Travka [436]

Answer:

So slope 1 would be positive

Slope 2 would be negative

Slope 3 would be zero

Step-by-step explanation:

If the slope is moving up from left to right, then it is positive

If the slope is moving down from left to right, then it is negative

If the slope is a vertical line and is not moving left/right, then it is undefined

If the slope is a horizontal line and is not moving up/down, then it is zero

So slope 1 would be positive because it is moving up from left to right.

Slope 2 would be negative because it is moving down from left to right.

Slope 3 would be zero because it is a horizontal line that is not moving up or down.

Hope this helped!

7 0
3 years ago
Find the difference between (2x-5) and (3-9x)
BARSIC [14]
I think it might be 11x-8
I'm really sorry if that's wrong
4 0
3 years ago
Is 40/25 equivalent to 32/20
Artyom0805 [142]

Answer:

Yes, 40/25 is equivalent to 32/20.

8 0
2 years ago
Read 2 more answers
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