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Snezhnost [94]
2 years ago
8

If (9x − 4)(9x + 4) = ax² − b, what is the value of a? (5 points)

Mathematics
2 answers:
lions [1.4K]2 years ago
8 0

Given, (9x - 4)(9x + 4) = ax² - b

From algebraic identities:

We know, (a + b)(a - b) = a² - b²

Now, 81x² + 36x - 36x - 16 = ax² - b

81x² - 16 = axis² - b

So ax² = 81x²

a = 81

-b = -16

b = 16

Solution

Therefore, the value of a is 81.

<h2>MyHeritage</h2>
Anna35 [415]2 years ago
4 0

Answer:

The value of a is 81

Step-by-step explanation:

The solution is in the image

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-4 + x / 2 = 3 urgent!
Zina [86]
     \frac{-4 + x}{2} = 3   Multiply both sides by 2
-4 + x = 6   Add 4 to both sides (to cancle out the -4)
       x = 10

4 0
2 years ago
Please Help Soon! A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over
laiz [17]

Answer: 6 feet

Step-by-step explanation:

Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts

Let assume that the 4 rectangles will be of the same area since they are congruent.

The area of the big rectangle will be

Area = 4 × 8 = 32

Divide 32 by 4

32/4 = 8

Suggest the two possible numbers in which their product will be equal to 8

4 and 2 or 8 and 1

If 4 and 2

The perimeter = 2L + 2B

Substitute the 4 and 2 into the formula

Perimeter = 2(4) + 2(2)

Perimeter = 8 + 4

Perimeter = 12

If 8 and 1

Perimeter = 2(8) + 2(1)

Perimeter = 16 + 2 = 18

The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:

18 - 12 = 6 feet

6 0
3 years ago
Can you help me pleaseeeeeew
Lera25 [3.4K]

Answer:

<h2>The answer is A 14.6</h2>

Step-by-step explanation:

the diameter is twice the length of the radius soooo 7.3x2=14.6

making the answer A

:D

4 0
3 years ago
I need help with this pleaseeeeee
ella [17]
Which is your question?
8 0
3 years ago
Solve each system using substitution:<br> 1. 4x - 5y= -15<br> y= -3x + 22
Bumek [7]
4x - 5y = -15
y = -3x + 22

Plug in your y= equation into the y variable in the other equation

  4x - 5 (y) = -15
            ^^
y = (-3x + 22) = -15

4x - 5 (-3x + 22) = -15

Distribute

4x + 15x - 110 = -15

Combine like terms and add 110 over to -15

19x = 95

Then, divide the whole equation by 19

x = 5

Then, plug in your x into your y= equation

y = -3 (5) + 22
y = -15 + 22
y = 7

<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
3 0
3 years ago
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