<u>Question 8</u>
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
<u>Question 10</u>
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
Answer:
(x+2) + x + (x+4) = 2(1/2) + 2(x+3)
Step-by-step explanation:
They are equal to each other and the rectangle has 2x more perimeter
The triangle would be divided in half from that rectangle.
Sorry If this is confusing I am not very good at explaining things.
Answer:
y = 0.5x + 5
Step-by-step explanation:
The equation is in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given the ordered pair (0, 5 ) then c = 5
Calculate the multiplier using the slope formula
with (x₁, y₁ ( = (0, 5) and (x₂, y₂ ) = (2, 6) ← 2 ordered pairs from the table
m =
= 0.5, hence
y = 0.5x + 5 ← equation relating x and y
The longest worm is 3/4 as long as the shortest worm.
Answer:
B $17.00
Step-by-step explanation:
8 batteries are 13.60
6.80 split in half to become 2 is 3.40 and then I added 13.60 plus 3.40 to get 17.00