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
Bond [772]
3 years ago
5

If the square root of 61 is the longest side length in the triangle and the shorter sides are x and x+1, find the value of x tha

t makes the triangle above a right triangle. Write your answer in simplest radical form.
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

  x = 5

Step-by-step explanation:

You want to find x such that ...

  x^2 +(x +1)^2 = 61

  2x^2 +2x -60 = 0 . . . . . simplify, subtract 61

  x^2 +x -30 = 0 . . . . . . . divide by 2

  (x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.

The relevant solution is x = 5.

You might be interested in
2. Point A is located at (-8, -3) on the coordinate grid. If it is
musickatia [10]

Answer:

(-6, 6).

Step-by-step explanation:

The x-coordinate increases by 2 units and the y-coordinate by 9 units:

That is ( - 8 + 2, -3 + 9)

= (-6, 6).

7 0
3 years ago
Write the coordinates of the vertices after a translation 5 units right and 2 units up.
Vikentia [17]

Answer:

c=(1,-8)

d=(7,-8)

e=(7,0)

f=(1,0)

Step-by-step explanation:

It super simple, just just move each point to the right 5 lines/units, and up 2 lines/units.

4 0
3 years ago
Is 4/5 and 7/8 equivalent
denis-greek [22]
No they are not equivalent
5 0
2 years ago
Read 2 more answers
Select the correct answer.
Black_prince [1.1K]
It’s b I think hope this helps you
4 0
2 years ago
Add the two expressions.<br> 2x + 6 and 6.2 - 1<br> Enter your answer in the box.
madam [21]

Answer:

8x + 5

Step-by-step explanation:

By adding

2x + 6 + 6x -1

8x + 5

8 0
3 years ago
Other questions:
  • Europe and North America are moving apart at 2 cm per year. Find (or estimate) the width of the North Atlantic Ocean and determi
    8·1 answer
  • How do I find the slope of the line containing the two points (9,0) and (-5,6)
    6·1 answer
  • You have 9 pieces of wood of different lengths that you are attempting to glue together that will have a length of exactly 10 in
    8·1 answer
  • The distance on a map between two cities is 6.5 cm if 1 cm = 8k on the map how many miles are the two cites apart from each othe
    5·1 answer
  • The temperature on Sunday was -4 degrees Fahrenheit (ºF). The temperature on Monday was 9 degrees warmer than the temperature on
    15·1 answer
  • A box contains 5 white and 7 black balls. Two successive drawn of 3 balls are made
    9·2 answers
  • The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x.
    5·1 answer
  • Please help i will give a lot of points if corrected
    5·2 answers
  • A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The base of the lot is 72.2 feet and
    7·1 answer
  • Are rational numbers a subset of real numbers?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!