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
Scorpion4ik [409]
3 years ago
13

❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

x=\frac{\sqrt{14} }{2}

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 45^o. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}

We use just the positive root, since we are looking for an actual length. then, the requested side is:

x=\frac{\sqrt{14} }{2}

You might be interested in
1) It's February and you go to the store to buy some food for your pets. You have a Great
Aleks [24]
<h2>Question:</h2>

1) It's February and you go to the store to buy some food for your pets. You have a Great

Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food

cost $60 for the big bag and he eats that in one week. The Savannah cats food cost

$15 a bag and it lasts him one week as well. You are there to buy food for the month

and have no more than $300 total to spend. Can you afford a month's worth of food?

a) If you bought the cat 6 weeks worth of food, how many weeks worth can you

buy your Great Dane?

<h2>Answer:  Yes you can afford </h2><h3></h3>
7 0
2 years ago
Can someone help me with this I’m having a hard time with HW and it’s due tmrw.
Nady [450]
In figure A, you would want to go up 2 and across right 6 to get to A'. In figure 2 you can go up 1 then across right 2.
8 0
3 years ago
If AB is parallel to CD and the slope of AB IS -3 what is the slope of CD?
iren [92.7K]

since parallel lines have the same slope, If the slope of AB is -3 then the slope of CD will also be -3

4 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14
liraira [26]

Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

5 0
3 years ago
Pls help I don't understand the question
barxatty [35]

Answer:

Answers B I think.

Step-by-step explanation:

I assume t is time so the variable would equal the time it hit the floor

3 0
2 years ago
Other questions:
  • Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8
    15·1 answer
  • Solve a÷b(×)-c=0 for x<br>Help me please :)
    13·1 answer
  • What is 5.6=?HELP ME!
    15·1 answer
  • How many inches will it be 54in by 42in
    10·1 answer
  • A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used. Which function
    14·2 answers
  • What is the perimeter of the triangle?. I need help with this pretty please​
    15·2 answers
  • the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between th
    11·1 answer
  • 4 An angle of a
    5·1 answer
  • You’re making 40 servings of English custard. Each serving is 250 ml. The following recipe yields 2 L.
    11·1 answer
  • Help Math 8th grade pls
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!