Problem:
The area of the patio of a relative's house is 20 square meters.
The width of the patio is 2 meters.
What is the length of the patio?
Solution:
The area is:
A = (w) * (l)
Where,
w: width
l: long
Clearing l we have:
l = A / w
Substituting values:
l = 20/2
l = 10 meters
Answer:
A. (7n-1) (8n-1)
Step-by-step explanation:
56n^2 -8n-7n+1
56n^2 -8n -7n+1
Factor out 8n from the first group and -1 from the second group
8n (7n-1) -1(7n-1)
Factor out the (7n-1)
(7n-1) (8n-1)
First of all, we can observe that

So the expression becomes

This means that the expression is defined for every 
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

Since we can't accept 3 as an answer, the actual solution set is
![(-\infty,-2] \cup [2,3) \cup (3,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%20%5Ccup%20%5B2%2C3%29%20%5Ccup%20%283%2C%5Cinfty%29)
Answer:
8 square units and
square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor
then

2. Triangles ABC and DBE are similar with scale factor
then

3. Thus, the area of the quadrilateral DFGE is

and the area of the quadrilateral ADEC is

Answer:


Step-by-step explanation:
Given

Solving (a): An equivalent inequality
We have:

Multiply both sides by -1 (this changes the inequality)


Solving (b): Values of u from least to greatest
implies that u ends at -4, starting from negative infinity
So, the list is:
