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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

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Find the value of X<br> Please help I’ll give brainliest
meriva

Answer:

60

Step-by-step explanation:

180-140=40, 180-(80+40)=60

4 0
3 years ago
Which of the following statements are true of the graph of the function f(x)=(x+5)(x-3)?
mr_godi [17]

Answers: b, d and e

b.The graph has a relative minimum

d. The graph has an x intercept at 3,0

e. the graph has an y intercept at 0,-15

f(x)=(x+5)(x-3)

The given equation is in the form of f(x) = a(x-b)(x-c)

If 'a' is positive then graph has a relative minimum

If 'a' is negative then graph has a relative maximum

Here a=1 that is positive so graph has a relative minimum .

To find x intercept we set f(x) =0 and solve for x

0=(x+5)(x-3)

x+5 =0 -> x = -5 so x intercept is (-5,0)

x - 3=0 -> x= 3 so x intercept is (3,0)

To find y intercept we plug in 0 for x

y=(x+5)(x-3)

y=(0+5)(0-3) = -15

so y intercept is (0,-15)



5 0
3 years ago
Read 2 more answers
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Elenna [48]
Hello here is a solution : 

8 0
3 years ago
Solve for x: 4 = (-8) +3x. Will you please help?
Zanzabum
8 + 4 = 3x
12 = 3x
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8 0
3 years ago
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Which of the following is a solution of 4x + 2y ≤ 6?
cestrela7 [59]

Answer:

D. (1,0)

Step-by-step explanation:

Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.

Lets go through all of the possible answers:

<u>A</u>. (0,4)

4(0) + 2(4) ≤ 6

0 + 8 ≤ 6

8 ≤ 6

This is false.  8 is not less than or equal to 6.

<u>B</u>. (5,0)

4(5) + 2(0) ≤ 6

20 + 0 ≤ 6

20 ≤  6

This is false.  20 is not less than or equal to 6.

<u>C</u>. (5,7)

4(5) + 2(7) ≤ 6

20 + 14 ≤ 6

34 ≤ 6

This is false because 35 is not less than or equal to 6

<u>D</u>. (1,0)

4(1) + 2(0) ≤ 6

4 + 0 ≤ 6

4  ≤ 6

This is true, because 4 is less than 6.  

6 0
3 years ago
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