Mathematics High School

a)3/5x + 1/x+2
can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2

Answers

Answer 1
3/(5x) + 1/(x+2)

to give them the same denominator,
multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
now we have
3x+6/(5x)(x+2) and 5x/(5x)(x+2)
adding the numerators gives us

8x+6/(5x)(x+2)
therefore a=8 and b=6
Answer 2

The value of a and b are a=8 and b=6 respectively.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

We are given the expression as

3/(5x) + 1/(x+2)

We have to multiply 3 by (x+2) and 1 by (5x)

3(x+2) = 3x+2 and 1(5x)= 5x

Now we have

3x+6/(5x)(x+2)

5x/(5x)(x+2)

Now adding the numerators gives us

8x+6/(5x)(x+2)

Therefore a=8 and b=6

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Answers

Answer:

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Step-by-step explanation:

I'd recomend using something like "Desmos" to plot the points so then you can see the points and the rectangle. Then count the length and width. For the this rectangle the length was 8 and the width was 7, multiply these and you get the answer of 56 sqaure units.

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation

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Answers

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[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

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Answers

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Answers

Answer:

Answer:574.9ft^3.

Step-by-step explanation:

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The volume of a hemisphere

=[tex]= 2/3\times \pi \times r^3\\\\= 2/3 \times3.14\times (6.5) ^3\\\\2/3 \times3.14 \times6.5 \times6.5 \times6.5\\\\1724.645 /3\\574.9ft^3[/tex]

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