We have that
<span>(c-4)/(c-2)=(c-2)/(c+2) - 1/(2-c)
</span>- 1/(2-c)=-1/-(c-2)=1/(c-2)
(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2)
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)
(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14
the solution is c=14
the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or
<span>all real numbers except c=-2 and c=2</span>
Answer:
Length is 14 in
Width is 8 in
Step-by-step explanation:
<u>Given:</u>
- Length = l
- Width = w
- Perimeter = P = 44 in
<h3>Solution</h3>
<u>Equations as per given:</u>
- l - w = 6
- P= 2(l+w) = 44 ⇒ l +w = 22
<u>Adding up the two equations:</u>
- l - w + l +w = 6 + 22
- 2l = 28
- l = 28/2
- l = 14 in
<u>Then finding the value of w:</u>
- w = l -6
- w = 14 - 6
- w = 8 in
<u>Answer:</u> The length of the rectangle is 14 inches and width is 8 inches
Answer:
The perimeter of the kitchen wall = 60 b
Step-by-step explanation:
The number if tiles used in the length side of the square walk = 5 tiles
The length of 1 tiles = 3 b
So, the length of 5 tiles = 5 x ( Length of 1 tile)
= 5 x (3 b) = 15 b
So, the length of the square walk = 1 5 b
Perimeter of SQUARE = 4 x SIDES
⇒ Perimeter of the wall = 4 x (Side)
= 4 x (15 b) = 60 b
Hence, the perimeter of the kitchen wall = 60 b
Answer:y=-1/2x+3
Step-by-step explanation:
y=-1/2x+3
Bc any slope that is the same as the line is parallel.
So if you count, 1 up and two to the left.
The formula for finding the surface area of a cube is A=6y^2 where y is the side length. we know a=96. so we just isolate y.
96/6= 6y^2 / 6
16=y^2
sqrt (16) = sqrt(y^2)
4=y
So y is 4