Hi there!

2x - 4y = 9
Begin by isolating the y variable by moving 2x to the right-hand side of the equation. (Subtract 2x from both sides):
2x - 2x - 4y = 9 - 2x
-4y = 9 - 2x
Further isolate by dividing both sides by -4:
-4y / (-4) = (9 - 2x) / (-4)
y = -9/4 - 2x/(-4)
Simplify further:
y = -9/4 + 1/2x
y = 1/2x - 9/4
The "b" value is the y-intercept, therefore:
x = 0 at y = -9/4
Is this a right triangle or not? If it's a right triangle, you could use the Pythagorean Theorem to find the length of the 3rd side, which would be the hypotenuse. Thus, 14^2 + 4^2 = c^2, where c is the length of the hypot.
Then 196 + 16 = 212, and this is c^2. Then c, the length of the hypotenuse, is sqrt 212, or approx. 14.6 inches.
This does not agree with any of the four possible answers. Thus, you must look at each of these possible answers and eliminate any that could not be correct.
for example: if you take 10 inches and add 4 inches, you get 14 inches. The result would not be a triangle, but rather a straight line.
Check out the others similarly.
Answer:
See the explanation below
Step-by-step explanation:
The independent variable is the time of the visit
The dependent variable is the total service charge, this depends on the amount of time spent working in the house
Answer:
sqrt(54) is between 7 and 8
Step-by-step explanation:
Lets look at integers that are squared
1^2 = 1
2^2 = 2
3^2 = 9
4^2 = 16
5^2= 25
6^2 = 36
7^2 = 49
6^2 =64
54- 49 = 5 and 64 - 54 = 10
So 54 is closer to 49
so sqrt(54) is closer to the sqrt(49) = 7
sqrt(54) is between 7 and 8