1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
3 years ago
9

Miguel wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

BCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).
What formula can he use to determine the distance from point A to point B?

 
Mathematics
1 answer:
solong [7]3 years ago
8 0
By graphing the given points, you will see that a rectangle can be made from the points. Points A and B lie on the same line horizontally as well as points C and D. To determine the distance between points, we use the distance formula expressed as:

d = √((y2-y1)^2 + (x2-x1)^2)

For points A and B, the term (y2-y1)^2 is equal to zero since they lie on the x-axis. The formula would become

d = √(x2-x1)^2
d = x2-x1 = a - 0 = a

Therefore, the distance would be equal to the value of a.
You might be interested in
PLEASE ANSWER ASAP IF ANSWERED WITHIN 30 MINUTES YOU WILL RECEIVE BRAINLIEST
Hunter-Best [27]
A. 9.3 x 10^7 miles
B. 4 x 10^-2 inches
C. 5.89248 x 10^12 inches
D. 1.47312 x 10^14 fireflies
3 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP PLEASE <br> m4A=42°, b=10, c= 12. What is the length of a to the nearest tenth?
kipiarov [429]

<u>Answer:</u>

a = 8.1

<u>Step-by-step explanation:</u>

Use the cosine rule:

a = \sqrt{b^2 + c^2 -2 bc \space\ cosA }

Substituting the values:

a = \sqrt{10^2 + 12^2 -2(10)(12) \space\ cos 42 \textdegree\ }

⇒ a = \sqrt{4 \space\ cos 42\textdegree\ }

⇒ a = 8.1

4 0
2 years ago
the perimeter of the rectangle below is 98 units. Find the length of CD. Write your answer without variables. cd=4x+3 cb=5x+1
zimovet [89]

2(4x + 3) + 2(5x + 1) = 98 \\ 8x + 6 + 10x + 2 = 98 \\ 18x + 8 = 98 \\ 18x = 90 \\  x = 5
Substitute x with 5,

CD =
4x + 3 \\  = 4(5) + 3 \\  = 20 + 3 \\  = 23
CD = 23 units

Hope this helps.
7 0
3 years ago
Read 2 more answers
What happens when a triangle is dilated using one of the vertices as the center of the dilation? Complete
Yuki888 [10]

Answer:

The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-

image and image will be “parallel”

The vertex used as the center of dilation will be in “the same location in both triangles”

8 0
3 years ago
Solve the following system of equations graphically on the set of axes below. Y=-1/2x +1 and y=x-5
Goshia [24]

Answer:

-1/2x+1=x-5

x=4

y=-4/2+1

y=-2+1

y=-1

(x,y)=(4,-1)

7 0
3 years ago
Other questions:
  • Please help.........................................................
    5·2 answers
  • Write the equation in standard form y-4= -3(x-3)
    15·2 answers
  • 9. Answer all if can pls help me though math is hard
    10·1 answer
  • A 5 mile jogging path diagonal divides a rectangular park in half. The park is 4 miles long. Find the width of the park.
    12·1 answer
  • Solve for t.<br> t- 4 =<br> mit<br> -<br> Write your answer as a fraction
    8·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    11·2 answers
  • Which equation(s) model inverse variation? Select all that apply.
    10·1 answer
  • The temperature dropped 20 degrees from noon to midnight. The temperature at midnight was 24°F. Write and solve an equation to f
    8·1 answer
  • What is the value of x and y when x = 9/4 and y = 3/5 ​
    12·1 answer
  • C. Are 2b + b and 3b equivalent expressions​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!