All categories

2 years ago

Find the perimeter and area of the polygon with the given vertices.

Mathematics

1 answer:

ivann1987 [24]2 years ago

8 0

Answer:

Perimeter: 20, Area: 21

Step-by-step explanation:

Based on points (2,6) and (5,6) : w = 5 - 2 = 3
Base on points (5,6) and (5,-1 ): l = 6 - (-1) = 7

Perimeter: 2 x (3 + 7) = 20
Area: 3 x 7 = 21

You might be interested in

Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =

xxMikexx [17]

For $F$ to be conservative, we need to have

$\dfrac{\partial f}{\partial x}=\cos z$

$\dfrac{\partial f}{\partial y}=10y$

$\dfrac{\partial f}{\partial z}=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

so $F$ is indeed conservative.

8 0

2 years ago

Solve −2x − 15 = 6x + 9

Alex787 [66]

X is going to equal -3

4 0

2 years ago

Read 2 more answers

You found a pair of $35 shoes for 25% off! How much of a discount will be taken at the register?

denis23 [38]

Answer:

$8.75

Step-by-step explanation:

35 * .25 = $8.75

7 0

2 years ago

Read 2 more answers

Geometry Proofs (Parallelograms)

Reika [66]

Since measure REU equal measure SFT, RE=FT and SF=EU then the two triangles REU et SFT are similar.
Then we deduce that the two sides RU and ST are equal, RU=ST.
Also, since the two triangles above are similar, then the two angles FST and RUE are equal. We deduce that the two lines RU and ST are parallel (interior opposite angles principles.)
We have two facts now:
RU = ST and RU parallel to ST, we deduce that the quadrilateral is a parallelogram.

5 0

2 years ago

Solve for m:3m\5+a=b

Shalnov [3]

Step-by-step explanation:

Assuming:

$\frac{3m}{5} + a = b$