Answer:
square root of 10
Step-by-step explanation:
since triangle CAT with vertex A at negative 2 comma 1, vertex T at negative 1 comma 4 and vertex C at 0 comma 0, side AT has a measure of square root of 10 units, side TC has a measure of square root of 17 units, and side AC has a measure of square root of 5 units, therefore the square root will be 10
-6z = 72
Divide both sides by -6
-6z = 72
/-6 /-6
z = -12
Answer:
D. Population, because it is a collection of salaries for all teachers in the school.
Step-by-step explanation:
In research, population refers to a complete set of subjects that share a characteristic and that the researcher is interested in. On the other hand, a sample is a subset of a population and it's usually the one the researcher takes to make a study with.
In this example, we have "The salary of each teacher in a school" since we are taking ALL the teachers of this school, this would be a population. If we were working with the salary of only a portion of the teachers of said school, it would be a sample.
Thus, the right answer is D. Population, because it is a collection of salaries for all teachers in the school.
Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
<h3>Gross domestic product</h3>
a. Consumption
Private S = ( Y – T – C )
C = Y - T - Private S
C = $12 - $3.6 - $1.5 =$6.9 trillion
b. Government purchases
Public S = ( T - G )
G = T - Public S
G = $12 - $0.8
G = $11.2 trillion
c and d. National saving and investment
National savings = Public S + Private S
National savings = $0.8 + $1.5
National savings =$2.3 trillion
Investment=Savings=$2.3 trillion
Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Learn more about GDP here:brainly.com/question/1383956
Based on the bisection of line BC by point A, the value of x is 10/3
<h3>How to determine the value of x?</h3>
The given parameters are:
- Point A bisects BC
- BA = 6x - 3
- AC= 3x + 7
Because the point A bisects BC, then
BA = AC
Substitute the known values in the above equation
So, we have
6x - 3 = 3x + 7
Collect the like terms
6x - 3x = 3 + 7
Evaluate the like terms
3x = 10
Divide both sides of the equation by 3
x = 10/3
Hence, based on the bisection of line BC by point A, the value of x is 10/3
Read more about bisectors at:
brainly.com/question/6725549
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