2a + 3b = 6
5a + 2b = 4
We multiply the first equation by 5 and the second by 2 and and subtract the second from the first:
10a + 15b = 30
-10a -4b = -8
11b = 22
b = 2
2a + 3(2) = 6
2a = 0
a = 0
Checking,
5(0) + 2(2) = 4
4 = 4, true
Answer: 1:15pm
Step-by-step explanation:
4w = 48
Divide each side by 4. (division property of equality)
w = 12
Answer:
<h3>H. 150 ft</h3>
Step-by-step explanation:
Given the height of a golf ball in feet modelled by the formula h(t) = -16t² + 100x where t is in seconds, we are to find the height of the golf after 2.5 seconds. To do that we will simply substitute t = 2.5secs into the formula given;
Hence the height of the golf after 2.5 seconds is 150ft.
Answer:
(x -6)²
Step-by-step explanation:
It is worth remembering the form of the square of a binomial:
(a +b)² = a² +2ab +b²
Note that if "a" and "b" have different signs, the middle term will be negative.
In your case, the square root of the constant is half the magnitude of the x-coefficient, so the trinomial you have is a perfect square. Since you just found √36 = 6, and the sign of 12 tells you the terms have different signs, you know the answer is ...
x² -12x +36 = (x -6)²
_____
Of course, you recognize (x +6)(x -6) as the factoring of the difference of squares ...
x² -6² = x² -36
which is not what you have.
