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bazaltina [42]
3 years ago
12

Please answer! will give brainliest

Mathematics
2 answers:
drek231 [11]3 years ago
6 0
The answer should be 1.4
hjlf3 years ago
3 0

Answer:

1.4

Step-by-step explanation:

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5. Find the value(s) of x so that the line containing the points (2x + 3, x + 2) and (0, 2) is
Dvinal [7]

Answer:

  x = -2 or -9

Step-by-step explanation:

You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).

<h3>Slope</h3>

The slope of a line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the formula, the slopes of the two lines are ...

  m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)

and

  m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)

<h3>Perpendicular lines</h3>

The slopes of perpendicular lines have product of -1:

  \dfrac{x}{2x+3}\cdot\dfrac{2+3x}{6-x}=-1\\\\x(3x+2)=(2x+3)(x-6)\qquad\text{multiply by $(2x+3)(6-x)$}\\\\3x^2+2x=2x^2-9x-18\qquad\text{eliminate parentheses}\\\\x^2+11x+18=0\qquad\text{put in standard form}\\\\(x+2)(x+9)=0\qquad\text{factor}

<h3>Solutions</h3>

The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.

4 0
1 year ago
The length of a rectangle Is 3 Inches more than its width, and its perimeter is 22 Inches. Find the width of the rectangle.
Vesnalui [34]

Answer:

the width of the rectangle is 7 inches

Step-by-step explanation:

3 0
3 years ago
What was the original price if: after increasing by 60% it became $8a?
Morgarella [4.7K]
I think it’s 5......I think
3 0
3 years ago
Read 2 more answers
Solve for w.<br> 2w=12-4w<br> Simplify your answer as much as possible.
aev [14]
So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
6 0
4 years ago
Find the missing dimension of the triangle<br><br>​
Stels [109]

Answer:

b=7

Step-by-step explanation:

A=bh/2

28=8b/2

56=8b

b=7

8 0
3 years ago
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