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2 years ago

What is the Greatest Common Factor of the two monomials? 15a²b, 35ab2

Mathematics

1 answer:

m_a_m_a [10]2 years ago

8 0

Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

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Helppp plz i beg you i will give u a like and a 5 star

Annette [7]

Answer:

8/8

Step-by-step explanation:

4/4 = 1

8/8 = 1

you can also see it in the number line that 4/4 and 8/8 are located in the same place.

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2 years ago

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A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the vol

Romashka [77]

<u>Answer:</u>

Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.

<u>Step-by-step explanation:</u>

As the base of triangular prism is equilateral:

∴ Area of base = (√ 3 / 4)× (side)²

According to question:

height of prism = height (side) of base

Volume of prism = 81 cm³,

∴ Volume of prism = Area of base x height

⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height

⇒ 81 cm³ = (√ 3 / 4)× (side)³

⇒ 81 × (4/√3) cm³ = side³

⇒ ∛(81 × (4/√3) cm = side

⇒ side = <u>5.72cm</u>

6 0

2 years ago

Find the product.

scoundrel [369]

Answer:

Step-by-step explanation:

$-2x^a(-4x^b -2x^3 +5x)=-2x^a(-4x^b)-2x^a(-2x^3)-2x^a(5x)=\\\\=8x^{a+b} + 4x^{a+3} - 10x^{a+1}$

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2 years ago

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14 = 6+z / -2, Solve each equation. Check your solution.

aev [14]

Answer:

-16

Step-by-step explanation:

14=6+z/-2

14-6=z/-2

8=z/-2

z=8*-2

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2 years ago

ABCD is a trapezium AD and BC are parallel

Orlov [11]

Part (a)

<h3>Answer: 12.1</h3>

-----------------------

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

===================================================

Part (b)

<h3>Answer: 15.1</h3>

-----------------------

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

$C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\$

$d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\$

Segment CD is roughly 15.1 cm long.

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2 years ago

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