What is the perimeter of polygon ABCD?

Answers

Answer 1

Answer:

Answer:

The perimeter is the sum of the length of the sides of a certain shape. In this case, the perimeter of the polygon would be the sum of the lengths of sides AB, BC, CD, and DA.

Step-by-step explanation:

Lets start computing the length of each side of the polygon. Using points A and B as a first example, we find that the distance between them will be:

$d_(AB)=√((x_A - x_B) ^2+(y_A - y_B) ^2 )$

Where $(x_A , y_A )$ and $(x_B , y_B )$ are the coordinates of points A and B respectively.

From the graph we can see that point A has coordinates (5, 12), B has coordinates (9, 9), C has coordinates (12, 5), and D has coordinates (0, 0). Puting values and computing the lengths we find that:

Lenght AB:

$d_(AB)=√((x_A - x_B) ^2+(y_A - y_B) ^2)=√((5 - 9) ^2+(12 - 9) ^2)$

$d_(AB)=√((-4) ^2+(3) ^2 ) =√(16 + 9 )=√(25)$

$d_(AB)=5$

Lenght BC:

$d_(BC)= √((x_B - x_C) ^2 + (y_B - y_C) ^2 ) = √((9 - 12) ^2 + (9 - 5) ^2 )$

$d_(BC)=√((-3) ^2 + (4) ^2 )=√(9 + 16 ) =√(25)$

$d_(BC)=5$

Lenght CD:

$d_(CD)= √((x_C - x_D) ^2 + (y_C - y_D) ^2 ) = √((12 - 0) ^2 + (5 - 0) ^2 )$

$d_(CD)=√((12) ^2 + (5) ^2 ) = √(144 + 25 ) = √(169)$

$d_(CD)=13$

Lenght DA:

$d_(DA)= √((x_D - x_A) ^2 + (y_D - y_A) ^2 ) = √((0 - 5) ^2 + (0 - 12) ^2 )$

$d_(DA)=√((-4) ^2 + (-12) ^2 ) = √(25 + 144 ) = √(169)$

$d_(DA)=13$

Therefor the result will be:

$Perimeter = d_(AB) + d_(BC) +d_(CD) +d_(DA)= 5 + 5 + 13 + 13 = 36$

Answer 2

Answer:

Answer: 36 lol

Step-by-step explanation:

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Please Help c:What are the solutions to the following system of equations?
y = x2 + 12x + 30
8x − y = 10

(−4, −2) and (2, 5)

(−2, −4) and (2, 5)

(−2, −4) and (5, 2)

No Real Solutions

Answers

2nd equation:
8 x-y=10 ⇒ y= 8 x-10
We will switch that in 1st equation:
8 x-10=x²+12 x+30, or:
x² + 4 x +40 = 0, a=1,B=4, c=40
Discriminant : D= b² - 4 ac= 16 - 160 = -144 and because it is negative there are no real solutions.
Answer: D)

Hello,

y=x²+12x+30
y=8x-10

==>x²+12x+30=8x-10
==>x²+4x+40=0
Δ=16-4*40<0 ==> no real solutions.

What is the value of the underlined digit in 56.123? one is underlined

Answers

The value is $0.1$ or $(1)/(10)$ , since it is in the tenths place.

The one is in the tenths place. so the value is 1 tenth.

Simplify please! sqrt(8x^(12) y^(7))

Answers

$\sqrt{8 x^(12) y^(7) } = √(8) \sqrt{x^(12)} \sqrt{ y^(6)*y } =√(4) √(2) \sqrt{(x^(6) )^(2) } \sqrt{ (y^(3))^(2)} √(y)=2 √(2) x^(6) y^(3) √(y)$

I hope it helps you :)

A rectangle has a length of 4 2/5 cm and a width of 1 3/10 cm. What is the area of the rectangle?

Answers

If you would like to know what is the area of the rectangle, you can calculate this using the following steps:

the area = a length * a width
x = 4 2/5 cm * 1 3/10 cm
x = 22/5 * 13/10
x = 143/25 = 5 18/25 square cm

The correct result would be 5 18/25 square cm.

What transformation was performed on triangle ABC to create triangle A'B'C'?A.rotation 90° clockwise about the origin

B.rotation 180° about the origin

C.translation 10 units right

D.reflection across the y-axis

Answers

reflection, across the y axis

Anyone know the answer?

Answers

Hi there your answer would be d

The answer is D. 77.

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