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marin [14]
4 years ago
14

Which shows 54^2 − 46^2 being evaluated using the difference of squares method?

Mathematics
2 answers:
tekilochka [14]4 years ago
6 0
<span>54^2 − 46^2 = (54 + 46)(54 − 46) = (100)(8) = 800

hope it helps</span>
dolphi86 [110]4 years ago
6 0
A difference of squares is of the form (a^2-b^2) and always factors to:

(a^2-b^2)=(a+b)(a-b)

So in this case:

(54^2-46^2)=(54+46)(54-46)=(100)(8)=800
You might be interested in
Factor completely 9x3 36x2 − x − 4. (3x 4)(3x − 4)(x 1) (3x 1)(3x − 1)(x 4) (9x2 − 1)(x 4) (3x 1)(3x − 1)(x − 4).
Arlecino [84]

The factor of the provided polynomial after the factorization process are similar to option B, which is

(x+4)(3x+1)(3x-1)

<h3>How to find the factor of polynomial?</h3>

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

9x^3 +36x^2 - x - 4

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,

9x^2(x +4) - x - 4

Take out the highest common factor -1 from the second two terms as,

9x^2(x +4) -1( x + 4)

Now take out the common group (x+4) as,

(x +4) ( 9x^2 -1)

The second group can be rewritten using the difference of square formula as,

(x +4) ( (3x)^2 -1^2)\\(x+4)(3x+1)(3x-1)

Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is

(x+4)(3x+1)(3x-1)

Learn more about factor of polynomial here;

brainly.com/question/24380382

4 0
3 years ago
A local water park has two types of season passes. Plan A costs a one-time fee of $125 for admission plus $8 for parking every t
Margarita [4]

Answer:

40+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=7 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

4 0
3 years ago
I need the answer please
Veseljchak [2.6K]
The trick to solving this problem is to know and remember that the sum of all the interior angles of a triangle is always 180 degrees.

Thus, (6x+1) + (5x-17) + (9x-24) = 180.

20x = -40, so x = -2 (answer)
7 0
4 years ago
MARKING BRAINLIST | What is the value of y?
Alex17521 [72]

Answer: y = 5

Step-by-step explanation:

This triangle is isosceles.

So, ∠ABC = ∠ACB = 75°

Now,

sum of interior angles of a triangle = 180°

∠ABC + ∠ACB + ∠BAC = 180°

75° + 75° + (4y + 10)° = 180°

160° + 4y° = 180°

4y° = 20°

y = 5

4 0
3 years ago
Mrs. Burnham has a 1-cup measure that has no other markings. Can she make 6 batches of modeling clay using on the 1-cup measure?
dexar [7]
Something along the lines of multiplying and adding
6 0
4 years ago
Read 2 more answers
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