Answer:
In triangle ABC, centroid D is on the median line segment AM.
Step-by-step explanation:
If AB=13cm,BC =13cm and AC=10cm, calculate: the height BM of the triangle. In triangle ABC, centroid D is on the median line segment AM.
hope i helped
Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7
Step-by-step explanation:
We need to find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2
The formula used to find the change of average rate is:

Where b= -2 and a= -5
Finding f(b) and f(a)
f(b)=f(-2)=(-2)^2+2=4+2=6
f(a)=f(-5)=(-5)^2+2=25+2=27
Putting values in the formula:

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7
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Answer and Explanation:
I'm assuming you mean the "Additive property of equality".
The additive property of equality states if the same value amount is added to both sides of an expression or equation, it will remain equal.
Similarly, the additive property of inequalities states if the same value amount is added to both sides of an inequality, it will remain true.
Question:
A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random. what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?
Answer:
The probability of getting an orange and carrots is 
Step-by-step explanation:
The fruits offered in cafeteria = oranges, apples, or bananas.
The vegetables offered in cafeteria = peas, green beans, or carrots.
There are 3 fruits and 3 vegetables . Therefore the total possible number of outcomes is =
= 9
Now the probability of getting an orange and carrots = 
The possibility is very unlikely to happen
Solve for x:
4 (6 x + 1) - 3 (4 x + 3) = 43
-3 (4 x + 3) = -12 x - 9:
-12 x - 9 + 4 (6 x + 1) = 43
4 (6 x + 1) = 24 x + 4:
24 x + 4 - 12 x - 9 = 43
Grouping like terms, 24 x - 12 x - 9 + 4 = (24 x - 12 x) + (4 - 9):
(24 x - 12 x) + (4 - 9) = 43
24 x - 12 x = 12 x:
12 x + (4 - 9) = 43
4 - 9 = -5:
12 x + -5 = 43
Add 5 to both sides:
12 x + (5 - 5) = 5 + 43
5 - 5 = 0:
12 x = 43 + 5
43 + 5 = 48:
12 x = 48
Divide both sides of 12 x = 48 by 12:
(12 x)/12 = 48/12
12/12 = 1:
x = 48/12
The gcd of 48 and 12 is 12, so 48/12 = (12×4)/(12×1) = 12/12×4 = 4:
Answer: x = 4