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.
The American dream that means to me is being rich and famous
Answer:
the areas of these triangles are 83.2cm² and 46.8cm²
Step-by-step explanation:
1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:
4²:3²
16:9
2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:
130(16/16+9)
130(0.64)
=83.2cm²
3. The area of the smaller triangle is:
130(9/16+9)
130(0.36)
46.8cm²
<u>Hope this help</u>s
The quotient is 0.20125.
Solution:
Divide .03220 by .16
This can be written as
To divide this, we first remove the decimal term.
To remove decimal in denominator multiply and divide by 100.
Now, divide 3.22 by 16.
The quotient is 0.20125.
The image of the long division is attached below.
