The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
Answer: -2
Step-by-step explanation: The line has a slope of -2/1, which is just -2.
Answer:
2
Step-by-step explanation:
Solve. Technically, there are two methods. You can first multiply, or first divide.
Essentially the question is:
(5 * 2)/5
or
2 * (5/5)
Solve. Remember to follow PEMDAS. First solve the parenthesis, then simplify:
(5 * 2)/5 = (10)/5 = 2
2 * (5/5) = 2 * 1 = 2
2 is your answer.
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Answer: it is a direct variation.
Justification:
In a direct variation the variables are related by a proportionality constant in this way:
y = k x
Tthan means that the value of y is always the product of a constant times the value of x.
The situation discribed for the coal may be written as:
number of tons of coal burned: c
number of hours: h
⇒ c = k × h
Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.
