The values are a = 7, b = -9, c = -18.
<u>Step-by-step explanation:</u>
The given quadratic equation is 
The general form of the quadratic equation is 
where,
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
Now, you have to modify the given quadratic equation similar to the general form of quadratic equation.
So, bring the constant term 18 to the left side of the equation for equating it to zero.
⇒ 
Compare the above equation with general form
⇒ a = 7
⇒ b = -9
⇒ c = -18
Therefore, the values of a, b, and c are 7, -9 and -18.
Answer:
x=7
Step-by-step explanation:
x=7
12 - x = 5
12 - 7 = 5
Answer:
x = 7 , y = 7
Step-by-step explanation:
A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is
x = 7
Using Pythagoras' identity in the right triangle, then
y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )
y = 
= 
= 
× = 7
Answer:
16 and 25
Step-by-step explanation:
Given that the square root of n = 4.2, let's find an expression for this, then find the possible value of n.
Thus:
Solve for n. Square both sides.
Therefore, if the sqrae root of n was approximately equal to 4.2, then we can conclude that n is between 16 and 25.
So, all the possible outcomes are number 1-12.
A ∪ B is a union of A and B, that is all the elements that are either in A, or in B or in both (but then are listed only once).
A means all the even numbers and B means all the number divisible by 3 (so 3,6,9,12). Out of those 6 and 12 are also even, so essentially the answer will be all even numbers plus 3 and 9. So the answer is A. {2, 3, 4, 6, 8, 9, 10, 12}!
