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2 years ago

Which of the following is the difference of two squares

Mathematics

1 answer:

Roman55 [17]2 years ago

7 0

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

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PLEASE HELP ME NOW URGENT

timama [110]

ANSWER

$y = 3 \pm \sqrt{21}$

EXPLANATION

The quadratic equation is:

${y}^{2} - 6y - 12 = 0$

Group variable terms:

${y}^{2} - 6y = 12$

Add the square of half, the coefficient of y to both sides.

${y}^{2} - 6y + ( - 3) ^{2} = 12 + ( - 3) ^{2}$

${y}^{2} - 6y + 9= 12 + 9$

The LHS us now a perfect square trinomial:

${(y - 3)}^{2}= 21$

Take square root:

$y - 3 = \pm \sqrt{21}$

$y = 3 \pm \sqrt{21}$

The first choice is correct.

8 0

4 years ago

Read 2 more answers

NEED HELP ASAP 2 questions WORTH 50

ch4aika [34]

Answer:

The first question tan(24) = x/12 because tan(x) = opposite/adjacent

so x in radians ≈ -25.618....

x in degrees ≈ 5.342....

For the second question tan(72) = x/20

x in radians ≈ -5.248....

x in degrees ≈ 61.553....

3 0

3 years ago

Read 2 more answers

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price

soldi70 [24.7K]

Answer: 6

Step-by-step explanation:

Let x represent the number of plates bought for $6

Let y represent the Total number of plates bought = x + 1

Remember that Mrs. Lim bought another plate for $18

Total cost ÷ Total plates = Average Cost

$\dfrac{6x+18}{x+1}=8\\$

6x + 18 = 8(x + 1)

6x + 18 = 8x + 8

18 = 2x + 8

10 = 2x

5 = x

y = x + 1

= 5 + 1

= 6

5 0

3 years ago

Solve for x. 4(2x - 1) - 7 = 4 - x + 6

Akimi4 [234]

The answer is that x = 21/9.

Start with the original: 4(2x - 1) - 7 = 4 - x + 6
Now distribute the 4: 8x - 4 - 7 = 4 - x + 6.
Now combine the like terms. 8x - 11 = -x + 10.
Now add x to both sides. 9x - 11 = 10.
Now add 11 to both sides. 9x = 21.
And divide by 9 on both side. x = 21/9.

6 0

3 years ago

Read 2 more answers

What is the answer and how did you solve it ?!

frosja888 [35]

11.25cups. I got that by multiplying 2.5. by 4.5. If she wants to make 4.5 batches and 1 batch uses 2.5 cups, you have to multiply the cups of 1 batch by the number of batches she wants to make.

3 0

3 years ago