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Annette [7]
3 years ago
14

How do you factor the expression 54+24= Thanks!

Mathematics
2 answers:
pychu [463]3 years ago
6 0

Answer:

Step-by-step explanation:

1.The prime factorization of 54 is: 2 x 3 x 3 x 3.

2.The prime factorization of 24 is: 2 x 2 x 2 x 3.

3.The prime factors and multiplicities 54 and 24 have in common are: 2 x 3.

4.2 x 3 is the GCF of 54 and 24.

Answer: GCF(54,24) = 6.

nikdorinn [45]3 years ago
4 0

Answer:

6 × 13

Step-by-step explanation:

To find the greatest common factor (GCF), write the prime factorization of each term.

54 = 2×3³

24 = 2³×3

The greatest common factor is the product of each prime number at its lowest exponent.

GCF = 2×3

GCF = 6

Factor:

54 + 24

6 (9 + 4)

6 × 13

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Elena L [17]

Answer:

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G (2,4) G' (2,1)

Step-by-step explanation:

So let's start with I, just count how many times you move to the left then how many times you move up.

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5 0
3 years ago
Solve 2x^2=11x+6 by factoring
Ede4ka [16]

Answer:

(x-6) (2x+1)

Step-by-step explanation:

1) move everything over to the left side, so subtract 11x and 6.

2x^2 -11x - 6 = 0

2)multiply 2(a term) with -6 (c term)

x^2 -11x -12

3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1

(x-12) (x+1)

4) divide -12 and 1 by the original a term (2)

(x-6) (x+1/2)

5) move the denominator of 2 over to the x.

(x-6) (2x+1)

5 0
4 years ago
Which expression does not represent "the sum of n and 6"?<br><br> 6 + n<br> n + 6<br> 6n
kiruha [24]

Answer:

6n

Step-by-step explanation:


7 0
4 years ago
Read 2 more answers
Suppose a rabbit population of 10 rabbits triples every month. Write and solve a function for how many rabbits will exist after
Simora [160]

Answer:

40

Step-by-step explanation:

10 rabbits

+ 3 months = 30 rabbits

40 rabbits

5 0
3 years ago
A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the
Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other)  point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}

Which gives;

tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}

  • Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0
2 years ago
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