D because it has to be a chord due to being perpendicular to a diameter
<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
Time zones<span> and </span>time<span> offsets. A </span>time zone<span> is a geographical region in which residents observe the same standard </span>time<span>. A </span>time<span> offset is an amount of </span>time<span> subtracted from or added to Coordinated Universal </span>Time<span> (UTC) </span>time<span> to get the current civil </span>time<span>, whether it is standard </span>time<span> or daylight saving </span>time<span> (DST)
I hope my answer has come to your help. God bless you and have a nice day ahead!
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Answer:
1
Step-by-step explanation:
The smallest positive factor is 1
But not 0 because 0 is not positive nor negative
Answer:
12 inches by 21 inches
Step-by-step
Let's start with the 8 feet
for every 2 feet add three inches you get a total of 12 inches
same for the 14 feet, you get 21 inches
