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
Ivenika [448]
3 years ago
12

Which could the coordinates of the vertices of the following isosceles trapezoid centered in the origin, with base 2a and OR=c?

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

Option (3) is correct.

The coordinates of the vertices of the given isosceles trapezoid centered in the origin, with base 2a and OR=c are,

S(-a, 0) , Z(a, 0) , T(-b, c) and W(b, c)

Step-by-step explanation:

Given an isosceles trapezoid centered in the origin, with base 2a and OR = c.

We have to find the coordinates of vertices of the given isosceles trapezoid.

Since  O is at center then , coordinates of O (0,0).

And base SZ given to be 2a .

So SO = OZ

SO + OZ = SZ ⇒ 2 (SO) = 2a ⇒SO = a

Since point S lies in second quadrant and x coordinates in second quadrant are negative, thus Coordinate of S is (-a, 0)

and Z lies in first quadrant , both x and y are positive,

So, coordinate of Z is (a, 0)

given OR = c so R lies on y axis , so R has coordinate (0,c)

Since point T lies in second quadrant and x coordinates in second quadrant are negative, thus Coordinate of T is of the form (-x, c)

also, W lies in first quadrant , both x and y are positive. Thus, coordinate of W is of the form  (x,c)

When we compare from the given options, we get possible value of x is b,

Thus, the coordinates of the vertices of the given isosceles trapezoid centered in the origin, with base 2a and OR=c are,

S(-a, 0) , Z(a, 0) , T(-b, c) and W(b, c)

Option (3) is correct.

You might be interested in
Approximately 4/5 ofd US home owners have cell phones. What percent of homeowners do not have cell phones?
zheka24 [161]
If 4/5 do, then 1/5 dont
1/5=x/100
x=20
20%
5 0
3 years ago
Read 2 more answers
Define the variables for the situation. Then enter an equation.
stepan [7]

Answer:

A= L + 5

Step-by-step explanation:

Andrews class is equal to Lauren's class and there are more 5 students

4 0
3 years ago
Chloe wants to buy monitor for her bedroom the height of the monitor is 18 inches in the width is 16 inches calculate the diagon
Akimi4 [234]
Equation: a^2 + b^2 = c^2

18^2 + 16^2 = c^2

324 + 256 = c^2

C^2 = square root 580

Square root 580 reduces to 2 square root 145.

As a decimal that is: 24.08

Rounded to the nearest tenth: 24 inches.

I hope this helps! If it does please offer me the brainiest!
3 0
3 years ago
Write the equation y= -1/3x -5 in standard form.
melomori [17]

Answer:

Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.

Step-by-step explanation:

Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.

5 0
3 years ago
What is the answer to 2(-3x - 6)
Zepler [3.9K]
Apply the distributive property:
-6x - 12
8 0
3 years ago
Read 2 more answers
Other questions:
  • Match the terms to their definition. 1. radical expression eliminate the radical from the denominator of a fraction 2. rationali
    13·2 answers
  • What is the common denominator of 2/7 and 1/4​
    12·2 answers
  • Anybody know the answer to the 2 last questions please?
    13·1 answer
  • What is the value of Negative 3 StartAbsoluteValue 15 minus 2 EndAbsoluteValue + 2 s cubed when s = negative 3?
    12·2 answers
  • george and carmenwent on a bicycle trip. They took a bus to their starting point, and then biked the rest.They traveled 325 kilo
    8·1 answer
  • Your cousin gave you $10.89 with which to buy a present. This covered 3/8 of the cost. How much did the present cost?
    14·1 answer
  • If i had 200 brainliest and you give me 20 more how many would I have
    6·1 answer
  • U=x/k solve for x HELP THIS IS DUE IN 30 MIN
    10·1 answer
  • Helppppppppppppppppppppppppppppppppppppppppppp
    12·1 answer
  • Function or not a function?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!