Answer:
It is the first and the last three.
Answer:
x = -7
Solution:
4(1-x) + 2x = -3( x + 1)
4(1 - x) + 2x = -3 (x + 1)
4(-x + 1) + 2x = -3 (x + 1)
-4x - 4 + 2x = -3(x + 1)
-2x + 4 = -3 (x + 1)
Answer:
The answer to your question is: x = -1
Step-by-step explanation:
Data
slope of l = x
slope of m = x +2
they are ⊥
Process
If they are ⊥, then, x + 2 = - 1/x
x(x + 2) = -1
x² + 2x = -1
x² + 2x + 1 = 0
(x + 1)² = 0
x + 1 = 0
x = -1
The length and width of the rectangle is 11 in and 8 in respectively.
Step-by-step explanation:
Given,
The width of a rectangle is 3 in less than the length.
The area of each congruent right angle triangle = 44 in²
To find the length and width of the rectangle.
Formula
The area of a triangle with b base and h as height =
bh
Now,
Let, the width = x and the length = x+3.
Here, for the triangle, width will be its base and length will be its height.
According to the problem,
×(x+3)×x = 44
or, 
or,
or,
+(11-8)x-88 = 0
or,
+11x-8x-88 =0
or, x(x+11)-8(x+11) = 0
or, (x+11)(x-8) = 0
So, x = 8 ( x≠-11, the length or width could no be negative)
Hence,
Width = 8 in and length = 8+3 = 11 in