Answer:
m=18
Step-by-step explanation:
18 is the correct value for +5
Actually, the domain is the possible set of input values
of a function that will make the function fit the specific criteria. In this
case, the input value is m, where m is the number of miles that is travelled.
The criteria is to travel at least 10 miles but not more than 30 miles,
therefore the domain should be:
All real numbers from 10 to 30, inclusive
(should be real numbers not integer since any fractional
number is included in the domain)
I cannot figure out why the choices are far from the
answer.
Answer:
42
Step-by-step explanation:
In short, the sum of the opposite areas are equal.
x + 30 = 24 + 48
x = 42
To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.
If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:
a + b = x
b + c = 24
c + d = 30
a + d = 48
Adding the first and third equations:
a + b + c + d = x + 30
Adding the second and fourth equations:
a + b + c + d = 24 + 48
Therefore:
x + 30 = 24 + 48
x = 42
Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²