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Anon25 [30]
3 years ago
13

Factorise the following expressions​.

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

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28. Higher Order Thinking What is the<br> least multiple 6 and 8 have in common?<br> Explain.
lisov135 [29]

Answer:

24

Step-by-step explanation:

I think you ask about LCM

6- 2×3

8- 2×2×2

lcm = 2×2×2×3 = 24

7 0
4 years ago
in a farm 20% of animals are cows . 0.4 are goat and the rest are sheep.How many cows are there if there are 40 sheeps​
Zolol [24]

Step-by-step explanation:

20%=cows 0.4(40%)=goat 40%=sheep

if 40%sheep=40 sheeps

20% cow=x

20%×40=40%×x

8=40%x

x=8/40%

x=20

..so there are 20 cows

sorry...not sure

3 0
3 years ago
Read 2 more answers
Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the
ANTONII [103]

Answer:

Length of right-angle  triangle 'a' = 4

b)

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  b = 3 and hypotenuse c = 5

Given ΔABC  is a right angle triangle

By using pythagoras theorem

        c² = a² + b²

  ⇒ a² = c² - b²

 ⇒  a² = 5²-3²

          =25 - 9

      a² = 16

⇒   a = √16 = 4

The sides of right angle triangle  a = 4 ,b = 3 and c = 5

<u><em>Step(ii):-</em></u>

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

7 0
3 years ago
Plz help meeeeeeeee You must make a constructive response and this is 8th Grade Math
Natali [406]

Answer:

I'm in 10th grade so I'll see what I can do and will answer to the best of my ability.

Step-by-step explanation:

What Julie did wrong was, she did simplify she just did it wrong. She used 4*8 which does equal 32 but 8 can't be simplified anymore than that. If she would of used 2*16 then her answer would be right.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Please also should work
DedPeter [7]

Answer:

B 2 < x < 6

Step-by-step explanation:

six times an integer is between 12 and 36.  Between does not include so we use <   not ≤

12 < 6x < 36

Divide all sides by 6

12/6 < 6x/6 < 36/6

2 < x < 6

7 0
4 years ago
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