Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.
Answer:
60⁰
Step-by-step explanation:
A triangle has three angles.
The sum of its angles = 180⁰
[ By angle sum property ]
Let the unknown angle be 'x'
Then,
30⁰ + 90⁰ + x = 180⁰
120⁰ + x = 180⁰
x = 180⁰ - 120⁰
x = 60⁰
Therefore, the unknown angle will be equal to 60⁰
Divide by 4 on both sides of the equations
Answer:
The value of c is 36
Step-by-step explanation:
Now, we fine the perfect square polynomial, we need to have the expression of the form:
so this can be written as a perfect square as: 
Now the expression given to us is:
so when c is 36, we will get:
Now, this can be re-written as:
so here we can see that it is of the form:
so the perfect square is:
Hence, when c = 36 we get a perfect square.
