Answer:
212
Step-by-step explanation:
3m² + 2p² - 15
Plug in the values.
3(3)² + 2(10)² - 15
Evaluate.
3(9) + 2(100) - 15
27 + 200 - 15
200 + 12
= 212
Answer:
Step-by-step explanation:
Given
Required
Possible values of k
The general quadratic equation is:
Subtract and
Factorize:
Rewrite as:
Compare the above equation to:
For the equation to have two distinct solution, the following must be true:
So, we have:
Expand
Rewrite as:
Expand
Factorize
Factor out k + 6
Split:
or 
So:
or k 
To make the above inequality true, we set:
or 
So, the set of values of k is:
1. thats because in the alphabet where a=1 and b=2 and c=3, A=1
The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
learn more about of rational numbers here
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Answer:
Θ = 157.7°
Step-by-step explanation:
Given
cosΘ = - 0.925
Since cosΘ < 0 then Θ is in the second or third quadrant.
Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus
Θ = 
(- 0.925) = 157.7° ← angle in second quadrant
