First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
Answer:
A = (5,3)
B = Begin at origin, move 3 units in a positive direction along the x-axis, move 4 units in a positive direction parallel to the y-axis
C = (4.5, 6)
D = Begin at origin, Move 0 units along the x-axis, Move 4.5 units in positive direction parallel to the y-axis
Step-by-step explanation:
Answer:
54.6 hours
Step-by-step explanation:
65x2 is 130 130-950 is 820 then 820 divided by 15 is 54.6 therefore meaning you have to work 54.6 hours to get 950$ you can check this by doing 54.6x15+130, might not be exact because i rounded to the nearest tenth.
Hope this helps!
Answer:
The equation — E = mc2 — means "energy equals mass times the speed of light squared." It shows that energy (E) and mass (m) are interchangeable.
Hope this helped
Answer:
49 different ways
Step-by-step explanation:
If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.
Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.
So, if you have seven ways to go up and seven ways to go down, the number of different ways of going to the top and coming back is the product of these numbers of possible choices.
N(total) = N(up) * N(down)
N(total) = 7 * 7
N(total) = 49 different ways
Brainliest pls and tysm!
