Answer: x=1
Step-by-step explanation: I don't know how to explain it.
Answer: ( 11, -2 )
Step-by-step explanation:
The mid point of a line is calculated using the formula:
M = (
,
)
From the question , the mid point is already given , substituting , we have :
(5 , - 7.5 ) = (
,
)
Equating the x component to x and the y component to y , we have
5 = 
x - 1 = 10
x = 11
Also
- 7.5 =
-15 = y - 13
-15 + 13 = y
Therefore : y = -2
Therefore : the location of point P is ( 11, -2 )
Answer:
The interval notation for the domain is
.
Step-by-step explanation:
Consider the provided information.
It is given that 
We need to find the value of
.
Put the value of g(x) in
.
....(1)
Now, put x=x-7 in 



From equation 1.

The domain of the function is the set of input values for which a function is defined.
Here, the value of
should be greater or equal to 0 as the square root of a negative number is not real.
Domain= 
The value of x is all real number greater than
.
Hence, the interval notation for the domain is
.
yes they are similiar is sam shape diffrent siz
Answer:
16 tons
Step-by-step explanation:
To solve the first step is to change years to months because the time periods are in different units. There are 12 months in 1 year. This means that the company sells 48 tons over 12 months. 4 months is the equivalent of 1/3 of 12 months. This means that we can find the amount sold in 4 months by dividing 48 by 3. 48/3 is 16. Thus, the steel company sells 16 tons in 4 months.
Another way to find the answer is to find the unit rate. The unit rate is how many tons are sold in 1 month. Find this by dividing 48 by 12 because this represents the sales of 1 month. 48/12=4, this means that in 1 month, 4 tons of steel are sold. Next, multiply 4 times 4 to find the amount of steel sold in 4 months. 4 times 4 also gives you the same answer of 16.