Answer:
50
Step-by-step explanation:
Let's drag the x line to the other side with the 14 and 48.
Then we do the Pythagorean theorem like 14^2 + 48^2 = x^2.
So then we get that x^2 is 2500
then we clearly know the square root of 2500 is 50
So 50 is our answer.
As written, the denominator in both fractions is x, so the only restriction on the domain is ... x ≠ 0.
_____
We suspect you intend ...
... f(x) = 2/(x-4) +1/(x+2)
which is undefined when x = 4 or x = -2.
The domain is all real numbers except -2 and 4.
Answer:
It's B
Step-by-step explanation:
2 times 5 = 10
0.8 times 5=4
10 + 4 =14
14-3=11
I think your answer is going to be 23
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.
