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Ostrovityanka [42]

3 years ago

12

Help with this math questions. 30 points °^°

2 answers:

motikmotik3 years ago

8 0

4. is complex number.
1. is a repeated real number root.
5. tells you the degree of that term.
2. the polynomial
3. multiplicity

DIA [1.3K]3 years ago

5 0

Hi what are your answer edit it and then i will come back hope this helps

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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

Guided Practice

frez [133]

Answer:

A. 15, 20, and 25

Step-by-step explanation:

Note that 3-4-5 is a pythagorean triple via following:

$\sqrt{ (3^2 + 4^2 )} = 5^2$

Dividing 15, 20, and 25 by 5 nets you the pythagorean triple 3-4-5.

7 0

3 years ago

Read 2 more answers

Find the equation of the line in the xy-plane that contains the point (9, 3) and that is parallel to the line y = 6x – 4.

aliya0001 [1]

The equation of a line is:
y-yo=m(x-xo)
Where (xo,yo)=(9,3) and m is the slope.
The slope of a line which is parallel to another line is the same; the slope of the line y=6x-4 is 6, then:
y-3=6(x-9)
y-3=6x-54
y=6x-51

4 0

4 years ago

Helpppppppppp meeeee

Thepotemich [5.8K]

Answer:

4.5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Parker made a batch of muffins, and 1/7 of them were blueberry. He divided the blueberry muffins equally among his 5 children. W

stiv31 [10]

1.4 is the answer...

8 0

4 years ago