X = 47*
Explanation:
So to find x you first find 2x = ?
86* + 2x* = 180
180* - 86* = 94*
2x* = 94*
94/2 = 47*
X = 47*
sub values of a, b and c into the equation.
(-3x2x2)-(-1x3)+(3x3x2)-(2x3x2)-(2x-1x3)
(-12)-(-3)+(18)-(12)-(-6)
=3
![|y + 2| > 6 \\ y + 2 > 6 \: \: \: or \: \: \: y + 2 < - 6 \\ y > 6 - 2 \: \: \: or \: \: \: y < - 6 - 2 \\ y > 4 \: \: \: or \: \: \: y < - 8](https://tex.z-dn.net/?f=%20%7Cy%20%2B%202%7C%20%20%3E%206%20%5C%5C%20y%20%2B%202%20%3E%206%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20y%20%2B%202%20%3C%20%20-%206%20%5C%5C%20y%20%3E%206%20-%202%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20y%20%3C%20%20-%206%20-%202%20%5C%5C%20y%20%3E%204%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20y%20%3C%20%20-%208)
Solution : ] -♾️ , -8 [ U ] 4, + ♾️ [
PLEASE GIVE BRAINLIEST
Answer:
The three given points are the vertices of a right triangle.
Step-by-step explanation:
To determine that the three points are the vertices of a right triangle let us find the distance between each two points
The formula of the distance is
∵
= 6 and
= -6
∵
= 9 and
= -6
∴
= ![\sqrt{(9-6)^{2}+(-6--6)^{2}}=\sqrt{9+0}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-6%29%5E%7B2%7D%2B%28-6--6%29%5E%7B2%7D%7D%3D%5Csqrt%7B9%2B0%7D)
∴
= 3
∵
= 6 and
= -6
∵
= 9 and
= 1
∴
= ![\sqrt{(9-6)^{2}+(1--6)^{2}}=\sqrt{9+49}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-6%29%5E%7B2%7D%2B%281--6%29%5E%7B2%7D%7D%3D%5Csqrt%7B9%2B49%7D)
∴
= ![\sqrt{58}](https://tex.z-dn.net/?f=%5Csqrt%7B58%7D)
∵
= 9 and
= 1
∵
= 9 and
= -6
∴
= ![\sqrt{(9-9)^{2}+(-6-1)^{2}}=\sqrt{0+49}](https://tex.z-dn.net/?f=%5Csqrt%7B%289-9%29%5E%7B2%7D%2B%28-6-1%29%5E%7B2%7D%7D%3D%5Csqrt%7B0%2B49%7D)
∴
= 7
<em>Let us use the fact that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>
∵ The longest side is ![\sqrt{58}](https://tex.z-dn.net/?f=%5Csqrt%7B58%7D)
∵ The other two sides are 3 and 7
∵ (
)² = 58
∵ (3)² + (7)² = 9 + 49 = 58
∴ (
)² = (3)² + (7)²
- By using the fact above
∴ The triangle is a right triangle
The three given points are the vertices of a right triangle.
Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
<h3>Pythagorean relation</h3>
The relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
<h3>Application</h3>
For the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
__
<em>Additional comment</em>
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.