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zysi [14]
2 years ago
8

Can anyone pls help me with this I'll mark as brainlist for correct answer please do explain in detail each answers Ty! (I'm pre

paring for my maths exam tmr)​

Mathematics
1 answer:
densk [106]2 years ago
7 0

<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

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3n+7−2 i need help on this i just don't get it and this is combining like terms
inessss [21]

Answer:

3n+5

Step-by-step explanation:

Like terms are the terms that can be added together, in this example, 7 and -2. There aren't any other like terms so if you add them together, the answer would be 3n+5.

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6 0
2 years ago
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Solve the system of equations by substitution <br> 2x+3y=9 <br> y=x−2
garri49 [273]

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3 years ago
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If u make 120.45 in 15 2/3 hours how long did u work if u made 40.15 ?
Novosadov [1.4K]

Answer:

about 5.22hrs

Step-by-step explanation:

cross multiply

<u>120.45</u>          <u>?</u>

15.67         40.15

120.45*40.15

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5 0
3 years ago
HELPPPPP ME PLEASEEEE
Ne4ueva [31]

Answer:

y =  \sqrt{85}

Step-by-step explanation:

(11)²=(6)²+ (y)²

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y² =121 –36

y²=85

y =  \sqrt{85}

4 0
3 years ago
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