Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = 
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.

2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:

We have to calculate (f/g)(x) first
The steps will be as follows:

Putting the values of functions

Domain of g/f:

The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>

2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
Learn more about functions at:
#LearnwithBrainly
You wrote it as 0.59 or .59
The page count will be 10 when the two students will reach the same count.
Step-by-step explanation:
Given,
Typing speed of Annie = 3 pages per hour
Pages already typed by Annie = 4
Let,
x be the number of hours.
y be the total pages typed.
y = 3x+4 Eqn 1
Typing speed of Whitney = 1 page per hour
Pages already types by Whitney = 8
y = 1x+8 Eqn 2
For same number of pages;
Eqn 1 = Eqn 2

Dividing both sides by 2

Putting x=2 in Eqn 1

Putting x=2 in Eqn 2

The page count will be 10 when the two students will reach the same count.
Keywords: linear equation, addition
Learn more about linear equations at:
#LearnwithBrainly
Answer:
y= -2x+6
Step-by-step explanation:
General formula :
y=mx+c
m is the gradient
when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient
The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)
so
the line perpendicular to the equation y=1/2x+6
is y= -2x+6