Answer:
x = 6
Step-by-step explanation:
All triangle angles add up to 180 so:
90 + 5x + 6 + 54 = 180
5x + 150 = 180
5x = 30
x = 6
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
Depends on what equation or question you want to be answered from the whole section of geometry...
Answer:
Step-by-step explanation:
We have been given a indefinite integral 
. We are asked to find the indefinite integral.
We will use partial fraction formula to solve our given problem.
Using difference rule of integrals, we will get:
Now, we need to use u-substitution as:
Let 
.
Substitute back these values:
Let us add a constant C.
Therefore, our required integral would be .
Answer:
so to factor out you find the greatest common factor of 14 and 7
if you have 2x-2 then you can factor out the 2 and get 2(x-1)
7=7*1
14=2*7
the greatest common factor is 7
14x-7=7(2x-1)
