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ale4655 [162]
2 years ago
14

Isiah determined that 5a2 is the GCF of the polynomial a^3 – 25a^2b^5 – 35b^4. Is he correct?

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

Answer:

here is the sample response

Step-by-step explanation:

Shkiper50 [21]2 years ago
6 0

Isiah determined that 5a2 is the GCF of the polynomial  a^3 – 25a^2b^5 – 35b^4-<u>No,Isiah is not correct if he states that that 5a2 is the GCF of the polynomial</u>

Step-by-step explanation:

Firstly ,we divide each term by the GCF and if the term does not divide evenly, then it is not valid

so,

5a^2 divide by a^3

we see that we cannot  divide 5a^2  by a^3  because firstly  the power is higher and then  there is no 5 number.Thus  it is not the GCF

The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial.

Also we find that 5b^4 is a factor of -25a^2b^5 and -35b^4, but not a3. Additionally, a2 is a factor of a3 and -25a^2b^5, but not -35b^4.

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Use the Pythagorean theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
Masteriza [31]

Answer: 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

Step-by-step explanation:

In order for the measures of the legs and hypotenuse given to form a right angle triangle, they must be Pythagorean triples. A Pythagoras triple is a set of numbers that perfectly satisfy the Pythagorean theorem. The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side². We will apply the theorem to each set of numbers given.

1) 3, 4, 5

5² = 3² + 4² = 9 + 16

25 = 25

It is a Pythagorean triple

2) 4, 11, 14

14² = 11² + 4² = 121 + 16

196 = 137

It is a Pythagorean triple

3) 9, 14, 17

17² = 14² + 9² = 196 + 81

289 = 277

It is not a Pythagorean triple

4) 8, 14, 16

16² = 14² + 8² = 196 + 64

256 = 260

It is not a Pythagorean triple

5) 8, 15 , 17

17² = 15² + 8²

289 = 225 + 64

289 = 289

It is a Pythagorean triple

Therefore, 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

8 0
3 years ago
P² +6r - 27<br> factoring quadratics
babunello [35]

Step-by-step explanation:

look at the picture shown

5 0
3 years ago
Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters
storchak [24]

Answer:

134.4 centimeters

Step-by-step explanation:

This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).

replace the values in the equation.

83²+x²=158²

get rid of the exponents.

6,889+ x² = 24,964.

subtract 6,889 from 24,964.

x²=18,075.

find the square root on both sides of the equation.

x=134.4432966.

I am assuming you want this rounded to the nearest tenth.

134.4 is your answer.

Read more on Brainly.com - brainly.com/question/14113423#readmore

8 0
3 years ago
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storchak [24]
Here are my steps 11/5= 2 1/5
4 0
3 years ago
If 15 actuators have failed today, what is the probability that a) at least 10 are repairable? b) from 3 to 8 are repairable? c)
Ann [662]

The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

  • at least 10 are repairable = 1 - (10 are not repairable)

at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

at least 10 are repairable = 1/3

  • from 3 to 8 are repairable = 3/15 *8/15

from 3 to 8 are repairable = 1/5 *8/15

  • exactly 5 are repairable = 5/15

exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

Learn more about PROBABILITIES here brainly.com/question/25870256

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6 0
2 years ago
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