Factor completely 5a2 + b.
Prime
a(5a + b)
b(5a2)
ab(5a + 1)

Answers

Answer 1

Answer: $\sf {5a^2+b~is~\boxed{\bf{prime}}}$

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

Answer 2

Answer:

Answer:

Option A: Prime

Step-by-step explanation:

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Answers

I think it is b explanation

Find the exact volume of the sphere use alt +227 or pi for pi as needed

Answers

Answer: The volume of the sphere is 113.04 in^3

Step-by-step explanation:

For a sphere of radius R, the volume is written as:

V = (4/3)*pi*R^3

where pi = 3.14159265...

We can use pi = 3.14

Here we can see that the radius of the sphere is 3 inches, then the volume of the sphere is:

V = (4/3)*3.14*(3 in)^3 = 113.04 in^3

one type of yarn costs 4$ for 100 yards. another type of yarn costs 5$ for 150 yards. is relationship between the two types of yarn. exlpain.

Answers

Answer:

Step-by-step explanation:

The area of a rectangle is 77 yd2, and the length of the rectangle is 3 yd more than twice the width find the dimensions of the rectangle

Answers

Let the width be x.

Length is 3 more than twice the width = 2x + 3

Area = x*(2x + 3)

x*(2x + 3) = 77

2x² + 3x = 77

2x² + 3x - 77 = 0 This is a quadratic equation. Solve by factorization.

Multiply first and last coefficients: 2*-77 = -154

We look for two numbers that multiply to give -154, and add to give the middle coefficient +3

Those two numbers are 14 and -11.

Check: 14*-11 = -154 14 + -11 = 14 - 11 = +3

We replace the middle term of +3x in the quadratic expression with 14x -11x

2x² + 3x - 77 = 0

2x² + 14x -11x - 77 = 0

2x(x + 7) - 11(x + 7) = 0

(2x - 11)(x + 7) = 0

2x - 11 = 0 or x + 7 = 0

2x = 0 + 11 x = 0 - 7

2x = 11 x = -7

x = 11/2 = 5.5

The solutions are x = -7 or 5.5.

Since we are solving for length of rectangle, x can't be negative. So we do away with x = -7.

x = 5.5 is the only valid solution.

Recall width = x = 5.5,
Length = 2x + 3 = 2*5.5 + 3 = 11 + 3 = 14

Therefore length = 14 yards, and width = 5.5 yards.

What is the equation of a circle with (2,-5) and radius 4