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
kirill115 [55]
3 years ago
6

The triangle below is equilateral. Find the length of side x in simplest radical form

Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Answer:

4sqrt(3)

Step-by-step explanation:

If the triangle is equilateral, the hypotenuse is 2x

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (2x)^2

x^2 + 144 = 4x^2

144 = 4x^2 -x^2

144 = 3x^2

48 = x^2

Taking the square root of each side

sqrt(48) = sqrt(x^2)

sqrt(16*3) = x

4 sqrt(3) =x

You might be interested in
What is 4x + 4(9x − 2) − 3 equal to specifically?
Naily [24]

Answer:

40x-11

Step-by-step explanation:

8 0
3 years ago
What is 2+2 then take away 1
laiz [17]

Answer:

3

Step-by-step explanation:

2 + 2 = 4

4 - 1 = 3

4 0
3 years ago
Read 2 more answers
Determine the total number of roots of each polynomial function f(x)=3x^6+2x^5+x4-2x^3
Alisiya [41]

Answer:

6 roots

Step-by-step explanation:

f(x)=3x^6+2x^5+x4-2x^3

The number of roots is determined by the degree of the polynomial.  They may be real or complex.

Since this is a 6th degree polynomial, it will have 6 roots

f(x)=3x^6+2x^5+x4-2x^3


3 0
3 years ago
Read 2 more answers
Solving one to two step equations . algebra 1 .
frozen [14]

Answer:

1.) k = 5

2.) n = -20

3.) p = -13

4.) m = -450

5.) b = -38

6.) n = -24

7.) x = 21

8.) x = 12

9.) b = -2

10.) b = 5

Step-by-step explanation:

To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.

1.) 55 = 11k

(11 and k are being multiplied, so you would divide)

Divide by 11 on both sides:

55 = 11k

/11     /11

5 = k

2.) Add 15 on both sides:

n - 15 = -35

   +15    +15

n = -20

3.) Divide by -6 on both sides:

78 = -6p

/-6    /-6

-13 = p

4.) Multiply by 18 on both sides:

m/18 = -25

18(m/18) = (-25)18

m = -450

5.) Add 20 on both sides:

18 = -20 - b

+20  +20

38 = -b

Divide by -1 on both sides:

38 = -b

/-1     /-1

-38 = b

6.) Subtract 12 on both sides:

12 + n/4 = 6

-12            -12

n/4 = -6

Multiply by 4 on both sides:

4(n/4) = (-6)4

n = -24

7.) Multiply by 2 on both sides:

2(-7 + x/2) = (7)2

-7 + x = 14

Add 7 on both sides:

-7 + x = 14

+7         +7

x = 21

8.) Subtract 2 on both sides:

-4x + 2 = -22

      -2     -2

-4x = -24

Divide by -4 on both sides:

-4x = -24

/-4     /-4

x = 12

9.) Add 9 on both sides:

7 = -8b - 9

+9         +9

16 = -8b

Divide by -8 on both sides:

16 = -8b

/-8   /-8

-2 = b

10.) Multiply by -3 on both sides:

-3(b - 14/-3) = (3)-3

b - 14 = -9

Add 14 on both sides:

b - 14 = -9

  +14    +14

b = 5

3 0
3 years ago
When converting between two measurement units, how can you tell which operation to use
german
Most of the time its juss common sense where you can point the right measurement with just sense i guess
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which input value produces the same output value for the two functions on the graph?
    7·2 answers
  • An ant moves 18 millimeters every 5 seconds
    10·1 answer
  • Use the formula for computing future value using compound interest to determine the value of an account at the end of 7 years if
    15·1 answer
  • 1550 were sold in a month if 30% of the pies were banana cream how many bananas cream pies were sold
    14·1 answer
  • Evaluate.<br><br><br><br> 2 • {[5 • (60 – 14 ÷ 7)] + 25} • 5
    10·1 answer
  • Feel free to answer this for 40 points pls
    7·2 answers
  • Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]
    7·1 answer
  • Find the slope of the tangent line to f(x) = 2x +3 at<br> at x = 2.
    13·1 answer
  • Use the following situation for #21 - 22
    9·2 answers
  • Quick algebra 1 question for 50 points!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!