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
densk [106]
3 years ago
10

Which of the following represent the length of a diagonal of this trapezoid?

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

\sqrt{\left(a+b\right)^{2}+c^{2}}

Step-by-step explanation:

The distance between the line joining points A (<em>-b, c</em>) and C (<em>a, o</em>) will be the length of the diagonal of given trapezoid.

Now, x_{1} = - b,\ y_{1} = c\ and\ x_{2} = a, y_{2} = 0

Now, using distance formula,

AC = \sqrt{\left (x_{2}-x_{1}\right )^{2}+\left (y_{2}-y_{1}\right )^{2}}

AC = \sqrt{\left(a-(-b) \right)^{2}+\left(0-c\right)^{2}}

AC = \sqrt{\left(a+b\right)^{2}+\left(-c\right)^{2}}

AC = \sqrt{\left(a+b\right)^{2}+c^{2}}

Therefore, the length of diagonal AC of trapezoid = \sqrt{\left(a+b\right)^{2}+c^{2}}

So, option (4) is the right option.

You might be interested in
Solve using quadratic formula. X^2-13x-48=0
agasfer [191]
I hope this helps you

8 0
3 years ago
Read 2 more answers
Find the measures of the numbered angles for each parallelogram.
notka56 [123]
Can anyone else figure this out
8 0
3 years ago
Drag the amounts to order them from greatest to least.
vladimir2022 [97]
So the first thing to do is get all amounts into one common unit. I will convert them all to ft.

1.8ft.
20in = 1.666ft
56cm = 56/2.54cm = 22.05in = 1.8375ft. 

So from that, You would have 56cm -> 1.8ft -> 20in. for Greatest to Least.
3 0
3 years ago
Which two values of x are roots of the polynomial below 4x^2-6x+1
goblinko [34]

Step-by-step explanation:

  • Just apply the quadratic formula x=\frac{-b \left \ {{+} \atop {-}} \right. \sqrt{b^{2}-4ac}   }{2a}
  • Your equation is 4x^2-6x+1
  • Every quadratic equation follows the general form ax^2+bx+c
  • In this case a=4,b=-6,c=1
  • Substitute into the quadratic formula:
  • x=\frac{-(-6) \left \ {{+} \atop {-}} \right. \sqrt{(-6)^{2}-4(4)(1)}   }{2(4)}\\x=\frac{6 \left \ {{+} \atop {-}} \right. \sqrt{36-16}   }{8}\\x=\frac{6 \left \ {{+} \atop {-}} \right. \sqrt{20}   }{8} Now take note that the square root of any number gives a (+) and (-) result, so two different answers
  • x=\frac{6 + \sqrt{20}   }{8} ,and\\x=\frac{6 - \sqrt{20}   }{8} are the answers
7 0
3 years ago
Solve for y . 72=4y Simplify your answer as much as possible. plz
Oksana_A [137]
72 = 4y
divide both sides by 4, to get y by itself
72/4 = y
y = 18
7 0
3 years ago
Other questions:
  • Solve for x. −3/4(x+2)=6
    13·1 answer
  • Solve each equation.<br>1. 9/2x+18+3x=11/2<br>2. (x+6)-(2x=7)-3x=-9
    8·1 answer
  • Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a
    14·1 answer
  • Solve (x +1 &lt;4) n (X-8 &gt;-7).<br> O x11 O {XIX&lt;3 or x&gt; 1}<br> O (all real numbers)
    13·1 answer
  • Which of the following is a possible equivalence that can be used in a conversion?A) ten cubed kL over one L. B) ten squared daL
    12·2 answers
  • A counting number is a multiple of 13 and is also divisible by 4 and 6. What is the smallest number that satisfies these conditi
    6·1 answer
  • Two circles that have two common external tangents but no common internal tangents:
    6·1 answer
  • 10÷5 as a multiplication equation
    5·2 answers
  • one of the angles of a triangle is 80 and other two angles are equal find the measure of each of the equal angles​
    9·1 answer
  • A system with the same line has an infinite number of solutions.<br><br> True or False
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!