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3 years ago

15

I need help very fast

1 answer:

fenix001 [56]3 years ago

7 0

Answer: probally the first one

Step-by-step explanation:

You might be interested in

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

<em>Verify if the polygon is a square</em>

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

3 years ago

Can you help me please everyone is ignoring my questions

galben [10]

Answer:

A= 37 degrees

C= 43 degrees

Step-by-step explanation:

Hey there!

So this question looks a lot more complicated than it really is.

Complementary angles are the same.

Supplementary angles add up to 180 degrees or in other words a straight line.

If A and B are complementary and B equals 37 degrees, than A is also 37 degrees.

To find C, all we would do is subtract 37 from 180 to find the leftover amount.

180-37=43

So, in conclusion:

A= 37 degrees

C= 43 degrees

Hoped this helped! :D

Comment if you have any further questions!

3 0

3 years ago

Read 2 more answers

Rewrite exponential expressions

Dahasolnce [82]

Answer:

A = 48

Step-by-step explanation:

In this equation, we can factor out the expression $(\frac{1}{7} )^x$ . If we do so, the expression becomes:

$(\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)$

We can simplify to get:

$(\frac{1}{7} )^x(49 - 1)$

and get:

$48*(\frac{1}{7})^x$

Therefore, A = 48

8 0

3 years ago

What is the discriminant <br><br> 3g^2+10= -15g

Ilia_Sergeevich [38]

$\bf 3g^2+10=-15g\implies 3g^2+15g+10=0
\\\\\\
\begin{array}{llcccll}
& 3g^2& +15g& +10\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\\\
discriminant\implies b^2-4ac\implies 15^2-4(3)(10)$

7 0

3 years ago

If it takes 500ml to fill up a liter of soda, how many ml will it take to fill up<br>5 liters?

Pie

Answer:

2,500

Step-by-step explanation:

500 * 5 = 2,500

8 0

3 years ago

Read 2 more answers