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3 years ago

Greatest common divisor of 24 ; 80 and 180 ?

Mathematics

1 answer:

Katarina [22]3 years ago

7 0

Answer:

Step-by-step explanation:

1: GCF (72, 144, 180) = 36

2: GCF of 10 and 13 is 1.

3: GCF of 135, 45, and 25 is 5

4: GCF of 150 and 225 is 75

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Write the quadratic equation whose roots are 6 and 3, and whose leading coefficient is 4

nekit [7.7K]

If α and β are the Roots of a Quadratic Equation ax² + bx + c then :

✿ Sum of the Roots : α + β $\mathsf{= \frac{-b}{a}}$

✿ Product of the Roots : αβ $\mathsf{= \frac{c}{a}}$

Let the Quadratic Equation we need to find be : ax² + bx + c = 0

Given : The Roots of a Quadratic Equation are 6 and 3

⇒ α = 6 and β = 3

Given : The Leading Coefficient of the Quadratic Equation is 4

Leading Coefficient is the Coefficient written beside the Variable with Highest Degree. In a Quadratic Equation, Highest Degree is 2

Leading Coefficient of our Quadratic Equation is (a)

⇒ a = 4

⇒ Sum of the Roots $\mathsf{: (6 + 3) = \frac{-b}{4}}$

⇒ -b = 9(4)

⇒ b = -36

⇒ Product of the Roots $\mathsf{: (6 \times 3) = \frac{c}{4}}$

⇒ c = 18 × 4

⇒ c = 72

⇒ The Quadratic Equation is 4x² - 36x + 72 = 0

8 0

4 years ago

How do I find the answer to this question?

Ierofanga [76]

Answer:
You just did.

7 0

3 years ago

Which number has a value of 800,000,000

Igoryamba

A.890,380,986 of the value

4 0

3 years ago

Diane loves coasters that dip into tunnels during the ride.Her favorite coaster is modeled by h(t)=2t +23t-59t+24. Using rationa

Fiesta28 [93]

Answer:

The possible rational zeros for the function are

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24, ±1/2, ±3/2

Step-by-step explanation:

I believe that there is an error in the function with the exponents, it must be:

$h(t) = 2t^{3} + 23t^{2}+59t+24$

If this is the function that you need, then we must use the rational zero theorem. It says that if a polynomial function, written in descending order of the exponents, has integer coefficients, then any rational zero must be of the form ± p/ q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Thus

In this case the constant term is 24 and then

p = ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

The factor of the leading coefficient is 2, thus

q = ±1, ±2

The possible rational zeros for the function are

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24, ±1/2, ±3/2

5 0

3 years ago

A dog is tied to a leash on a tree and the leash is 10 meters long. There is a bone 15 meters away but the dog easily gets the b

Alex17521 [72]

Answer:

One way the dog can easily reach the bone is given by the relationship between the dog, the tree, and the bone

The dog can easily reach the bone when the tree is between the the dog and the bone, and the dog was more than 5 meters behind the tree

Therefore the distance the dog can reach in the direction of the bone from its position behind the tree is more than 15 meters and the dog can easily get the bone while the leash is not harmed

Step-by-step explanation:

3 0

3 years ago