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:
<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.
Answer:
C.) 3.4 in.
Step-by-step explanation:
Because I did the test and got it right.
Answer:
$3.12
Step-by-step explanation:
44.57 x 0.07 = 3.12
Step-by-step explanation:
The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)
2/5 = x/10
The means in this equivalent ration are 5 and x. The extremes are 2 and 10.
5x = 20
Now solve =)
x = 4
That was pretty simple. Let's move on to the next one. Do exactly the same thing here:
4/10 = 6/x
60 = 4x
15 = x
That was pretty simple, too! Keep going!
6/15 = x/25
15x = 150
x = 10
All of these should be equal, so check them by dividing:
2/5 = 0.4
4/10 = 0.4
6/15 = 0.4
10/25 = 0.4
They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25
I really hope this helps you =)
Alternate Interior Angles. You’re welcome
