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3 years ago

We are parallelograms we are three different polygons sometimes we share our names what are we

2 answers:

8 0

A parallelogram has opposite sides that are parallel. Squares, rectangles and rhombi are parallelograms with four right angles and are known as quadrilaterals.

A polygon is a two dimensional shape with straight sides.

Therefore polygons that are also parallelograms are quadrilaterals.

Taya2010 [7]3 years ago

6 0

Trapezoids (A and J are "typical" examples, but all parallelograms also fit the definition of trapezoids);parallelograms (E is the "typical" example, but all rectangles and rhombuses also fit the definition of parallelograms);rectangles (F is the "typical" example, but all squares also fit the definition of rectangles);rhombuses (C and D are the "typical" examples, but all squares also fit the definition of rhombuses);squares (B), the most special of them all

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3 years ago

I can’t figure this problem out

Natalka [10]

Answer:

Explanation:

Alright so the way to do this is to use properties of integrals to make our life easier.

So we have:

$\int\limits^4_1 {(3f(x)+2)} \, dx$

So lets break this up into two different integrals that represent the same area.

$\int\limits^4_0 {f(x)} \, dx - \int\limits^1_0 {f(x)} \, dx = \int\limits^4_1 {f(x)} \, dx$

Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:

$\int\limits^4_1 {f(x)} \, dx$

But since we have these values we can say that:

-3 - 2 = -5

Which means that $\int\limits^4_1 {f(x)} \, dx$ = -5

So now we can evaluate $\int\limits^4_1 {(3f(x)+2)} \, dx$

Lets first break up our integrand into two integrals

$\int\limits^4_1 {(3f(x)+2)} \, dx$ = $3\int\limits^4_1{f(x)} \, dx + 2\int\limits^4_1 {} \, dx$

Now we can evaluate this:

We know that $\int\limits^4_1 {f(x)} \, dx$ = -5

So:

$3(-5)+2[x]$ where x is evaluated at 4 to 1 so

-15 + 2(3)

So we are left with -15 + 6 = -9

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3 years ago