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mina [271]
3 years ago
6

Factorise the following. 49g^2 - 36h^2 - 28g - 24h

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0

Answer:  -4(7g - 6h)(7g + 6h)

<u>Step-by-step explanation:</u>

Separate the 4 terms into two groups of 2 terms. Then factor out the GCF of each group. You should end up with a common factor in each group - that is one of the factors.  The other factor is what you factored out from each term.

  49g² - 36h²              - 28g - 24h

(7g - 6h)(<u>7g + 6h</u>)          -4(<u>7g + 6h</u>)

They both have a common factor of (7g + 6h)

The terms factored out are (7g - 6h) and -4

So, the factorization is: -4(7g - 6h)(7g + 6h)

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I need to find the value of x using the similarities of the triangle
Fudgin [204]
3.5/7=0.5, 0.5*15=7.5
7 0
3 years ago
This last one I need help on too
ExtremeBDS [4]

Answer:

x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}

Step-by-step explanation:

simplify \frac{-3}{x-2} by putting the negative sign on the outside. \frac{2x}{x-1}-\frac{2x-5}{x^2-3x+2}=-\frac{3}{x-2}

find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:

\frac{2x}{x-1}\left(x-1\right)\left(x-2\right)-\frac{2x-5}{x^2-3x+2}\left(x-1\right)\left(x-2\right)=-\frac{3}{x-2}\left(x-1\right)\left(x-2\right)

Simplify:

2x\left(x-2\right)-\left(2x-5\right)=-3\left(x-1\right)

solve: x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}

3 0
3 years ago
What is the volume of a figure that is 9 inches wide, 3 inches tall and 3 inches long?
motikmotik

Answer:

1/2

Step-by-step explanation:

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5 0
3 years ago
1 2 3 4 5 6 7 8 9 10 11
alexandr402 [8]

1) PEMDAS: 12 * 5 + 6 / 6

12 * 5 = 60

60 + 6 / 6

6 / 6 = 1

60 + 1 = 61

61 is the final answer.

2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2

2 in the final answer.

3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.

-10 is the final answer.

4) 15x + 1 = 26

Subtract 1 from each side.

15x = 25.

25/15 = 1.6...

x = 1.6...

5) 2x -4 + 3x = - 1

2x + 3x = 5x

5x - 4 = -1

Add 4 to each side

5x = 3

3/5 = 0.6

x = 0.6

6) x-2/3 = x+4/5

I don't remember the steps, but the answer is x = 11

7) Finding the relationship between x:4 and 5:20

20/5 = 4

x = 1

The smaller rectangle has a reduction of 5 times.

8) Mean is found by adding all the number, then dividing by the amount added.

18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171

171/8 = 21.375

Mean = 21.375

Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5

Median = 21.5

9) Circumference of a circle = 2(pi)(r)

Circumference = 30πin (thats the pi symbol)

If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.

10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y

5x + 2x = 7x

7x + 7y - 8y^2 - y

-y + 7y = 6y

Answer: -8y^2 + 7x + 6y

5 0
3 years ago
Explain how estimation helps you place the decimal point when multiplying 3.9 &amp;5.3
kow [346]
3.9 and 5.3, when rounded off and mult. together, produce the product 20.
Thus, the decimal point must follow the first two digits of your answer, whether estimate or "exact."

3.9*5.3 = 20.67 by calculator.
6 0
3 years ago
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