2/3=? 5/4=? 24/4=? Help me with this

Mathematics

1 answer:

V125BC [204]4 years ago

3 0

1. 2/3 or 0.33 repeating

2. 1 1/4 or 1.25

3. 6

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Factor each.<br><br><br> Please help!

Naddika [18.5K]

Answer:

1) The factors of $x^2-3x+2=0$ are $\mathbf{(x-1)(x-2)=0}$

Option C is correct.

3) The factors of $x^2+2x-8=0$ are $\mathbf{(x-2)(x+4)=0}$

Option B is correct.

Step-by-step explanation:

1) Factor : $x^2-3x+2=0$

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : -3x

We can break them as (-2x)( -x)

Solving:

$x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0$

So, factors of $x^2-3x+2=0$ are $\mathbf{(x-1)(x-2)=0}$

Option C is correct.

3) Factor: $x^2+2x-8=0$

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

$x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0$

So, factors of $x^2+2x-8=0$ are $\mathbf{(x-2)(x+4)=0}$

Option B is correct.

7 0

3 years ago

The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder?

Radda [10]

Hello!

The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.

We have the following data:

Al (lateral surface area) = 80 in²

R (ratio) = 4 in

h (height) = ? (in inches)

Adopt : π ≈ 3.14

We apply the data to the formula, we have:

$A_l = 2*\pi*R*h$