Step-by-step explanation:
Using FOIL,
(2 + √3)(1 + √3)
= (2)(1) + (2)(√3) + (√3)(1) + (√3)(√3)
= 2 + 2√3 + √3 + 3
= 5 + 3√3.
Answer:
6x - 21
Step-by-step explanation:
3(2x - 7)
Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.
3 × 2x = 6x
3 × -7 = -21
Combine:
6x - 21
Hope this helped.
The average change is 3 degrees per hour.
To calculate the average of any data we have to divide the change by the time taken for that change.
let us suppose there is a data 4,5,6,7 and 8.
Average of the data will be the sum of data divided by the number of terms.
Average=
=
= 6
So now we will calculate the average change in temperature per hour,
Given that there is a fall of 12 degrees in 4 hours.
Average change per hour=
= 3 degrees per hour
So, the required change is 3 degrees per hour.
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Answer:
Domain = 1 to 7
Range = 4 to 28
Step-by-step explanation:
Given that:
Number of wheels used is a function of number of cars manufactured.
Number of wheels present = 28
1 car uses 4 wheels
2 cars use 8 wheels.
3 car uses 12 wheels
and so on.
Let the function be of the form:

Domain of the function is the value of
that can be given as valid input to the function.
Range of the function is the value of
that can be output of the function.
Let
be the number of cars manufactured.
Then value of
is nothing but
times 4.

We are given that maximum value of
can be 28.

Therefore, maximum value of input can be 7.
Minimum number of wheels can be 4 to make a minimum of 1 car.
Therefore domain is 4 to 28 and range is 1 to 7.
Answer: x = 3
Explanation:
If the two triangle are congruent then all of their sides are also congruent.
4x + 1 = 13
4x = 13 - 1
4x = 12
x = 12/4 = 3