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2 years ago

Prove that the difference between squares of consecutive even numbers is always a multiple of 4

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

7 0

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

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Work out the volume for this prism

melisa1 [442]

<h3>given:</h3>

$area = 24 \: {cm}^{2}$

$height = 8 \: cm$

the volume of the given prism.

<h3>solution:</h3>

$v = area \: of \: cross \: section \times height$

$v = 24 \times 8$

$v = 192 \: {cm}^{3}$

hence, the volume of the prism is 192 cubic centimeters.

4 0

1 year ago

What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents

Amiraneli [1.4K]

Answer:

$(-4)^{3$ * $y^{2}$

This should be right.

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3 years ago

Find the slope and write an equation with these to points (0,-2) (3,1) plz explain

tatiyna

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

-2 = b

So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

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2 years ago

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Can a trapezoid be a hexagon

NNADVOKAT [17]

Answer:

No. A trapezoid is a shape with four sides, while a hexagon is a shape with six sides.

Step-by-step explanation:

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2 years ago

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