3 years ago

Which is a factor of 45x^4−5x^2? Show work.a. 5x+2 b. 9x−1 c. 6x+5 d. 3x−1

Mathematics

1 answer:

Lelu [443]3 years ago

7 0

Answer:

d. 3x - 1.

Step-by-step explanation:

45x^4−5x^2

The GCF is 5x^2 so we have:

5x^2(9x^2 - 1)

The expression in the parentheses is the difference of 2 squares so:

= 5x^2(3x - 1)(3x + 1)

You might be interested in

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit

Musya8 [376]

Answer:

C. 647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

Area of the octagon

$\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}$

where:

n = number of sides
l = length of one side
a = apothem

Given:

n = 8
l = 13
a = 15.69

Substitute the given values into the formula and solve for A:

$\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}$

$\implies \textsf{Area}=\sf \dfrac{1631.76}{2}$

$\implies \textsf{Area}=\sf 815.88\:\:square \:units$

Area of the square

$\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units$

Area of the shaded region

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0

2 years ago

Read 2 more answers

Moses led the Jews out of Egypt. How many years of wandering in the desert did it take until they reached the Promised Land? A)

Gelneren [198K]

C 40 years thats what i remeber.✌

6 0

3 years ago

Elizabeth has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are 0.25 meter long. How many piec

AnnyKZ [126]

4,5 : 0,25 = 18 pieces of ribbon.

4 0

3 years ago

Find all rational zeros and factor f(x) for x^3 + 2x^2 -45x -126

alexdok [17]

The rational root are x= 7,-3,-6
You can find them by substituting y for 0

6 0

4 years ago

Please help!!!!!!!!!!!!!!

Digiron [165]

C)
the answer should be 24a^-1b^10

5 0

3 years ago