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Andreas93 [3]
3 years ago
7

Plot the points in the coordinate plane. Then find the perimeter and area of the polygon.

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

The answer to your question is below

Step-by-step explanation:

See the graph below

Process

1.- Find the distance from A to B, B to C, C to D, A to D

Formula

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

d AB = \sqrt{(1 + 3)^{2} + (6 - 5)^{2}}  = \sqrt{17}

dBC = \sqrt{(-2 -6)^{2} + (3 - 1)^{2}}  = \sqrt{68}

dCD = \sqrt{(-1 - 3)^{2} + (-3 +2)^{2}}  = \sqrt{17}

dAD = \sqrt{(-1 + 3)^{2} + (-3 - 5)^{2}}  = \sqrt{68}

2.- Find the perimeter

Perimeter = 2\sqrt{17} + 2\sqrt{68} = 6\sqrt{17} u

3.- Find the area

Area = \sqrt{17} x \sqrt{68}

Area = \sqrt{17x68} = \sqrt{1156} = 34 u^{2}

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A triangle can be formed with side lengths 4 in, 5 in, and 8 in. (5 points) False True
marin [14]

Answer:

True

Step-by-step explanation:

6 0
3 years ago
Explain two methods for solving an equation. Give an example.
svlad2 [7]

For solving system of equations, we can use either substitution where we plug one equation into the other, or elimination where we combine the equations.


- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!


- Using substitution means you are going to solve one equation for one variable and substitute with its value in the other equation in order to get also an equation with one variable.



Let's take an example ...

y+x=2            and      y-2x = 1

<span>Using <span>elimination, we need to subtract these two equation; one from the other...

y+x=2
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y-2x=1
-----------
0+3x=1

then x=1/3       

and then substitute into any equation to get y-value</span></span>
y+x=2
y+1/3 = 2        >>>>>    y=5/3



NOW...<span>Using substitution
</span>y+x=2            and      y-2x = 1 >>(y=1+2x)

Plug (y=1+2x) into y+x=2    and solve for x
y+x=2
(1+2x) + x =2
1+3x = 2
3x=1

again (and for sure) x = 1/3

plug in x=1/3 into any of the equations above to get y:
y+x=2
y+1/3=2
y=5/3


DOne  !!!!!!


I hope you got the idea

If you still need help, just let me know.




7 0
3 years ago
The additive invers of the numer <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B7%7D%20" id="TexFormula1" title=" \fr
GuDViN [60]

Answer:

-\frac{3}{7}

Step-by-step explanation:

The additive inverse of a number (its "opposite") is what you add to the given number to get a sum of zero.

\frac{3}{7} + (-\frac{3}{7}) =0

6 0
3 years ago
A box of nails costs $2.25. A box of screws costs 1.2 times as much as the box of nails.
s2008m [1.1K]

Answer:

$2.70

Step-by-step explanation:

2.25*1.2 = 2.7

8 0
3 years ago
Read 2 more answers
Help! It says that I need to determine If both equations represent lines which are parallel, perpendicular, or none...
12345 [234]
    4x + 2y = 8     (1)
    8x + 4y = -4y  (2)

A) Two lines are parallel if they have the same gradient
       - putting both equations into the gradient- intercept form ( y = mx + c                where m is the gradient)
            (1) 4x + 2y = 8
                          2y = 8 - 4x
                            y = -2x + 4
             
            (2) 8x + 4y = -4y
      <span>                    </span>8x = -4y - 4y
                            y = \frac{-8x}{-8}
                            y = -x
   <span>Thus the gradient of the two equations are different and as such          the two lines are not parallel
</span>
B)  When two lines are perpendicular, the product of their gradient is -1
                   m_{1} * m_{2} = p
                                             p = (-2) * (-1)
                                             p =  2
<span>          ∴ the two lines are not perpendicular either.</span>

Thus these lines are SKEWED LINES

4 0
3 years ago
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