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Ivan
2 years ago
15

Factor the following using the difference of squares method

Mathematics
1 answer:
Bond [772]2 years ago
6 0

Answer:

a)

{x}^{2}  - 16 \\  =  {x}^{2}  -  {4}^{2}  \\  = (x + 4)(x - 4)

b)

{9y}^{2}  - 25 \\ =   {(3y)}^{2}  -  {5}^{2}  \\  = (3y + 5)(3y - 5)

here is the answer hope that will help you

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Given BE= 2x+6 and ED= 5x-12 in a parallelogram ABCD, find BD
Brrunno [24]
1.BE = 2x + 6
   ED = 5x - 12
2. To get the entire side of BD, we must add both half's which equals to the entire length.
3. 2x + 6 + 5x - 12
4.Add like terms.
2x + 5x = 7x
-12 + 6 = -6
5. So, we have 7x - 6

=7x - 6
3 0
3 years ago
Gareth 30 students in a class and the ratio of boys to girls in the class is 2:3 calculate the number of goals
pishuonlain [190]

Answer:

<em>There are 12 boys and 18 girls</em>

Step-by-step explanation:

<u>Equations</u>

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

\displaystyle \frac{x}{30-x}=\frac{2}{3}

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls

8 0
3 years ago
Solve the following equation for x.
Drupady [299]

Answer:

6 {x}^{2}  + 54x + 120 = 0 \\ factors :  4 \: and \:  5 \\ =  (6x  + 24)(x + 5) \\   =  > x =  -4 \: and \:  - 5

5 0
3 years ago
Someone help pleaseeee
Dahasolnce [82]

Answer: A x=1/4y^2

Step-by-step explanation:

Because to make sure on the graph is counterclockwise for the vertex for the starting point.

4 0
3 years ago
Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet.
AlekseyPX
260 feet. 55+55=110, 75+75=150, 150+110=260
5 0
2 years ago
Read 2 more answers
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