Let unknown integer be n.
So then your sentence would translate to 3n² + n = 2.
If you need to solve for n then we can move 2 to left side by subtract both sides by 2:
3n² + n - 2 = 0
Now you can factor:
3n² + 3n -2n - 2 = 0
3n( n + 1 ) - 2( n + 1 ) = 0
( 3n - 2 )( n + 1 ) = 0
3n - 2 = 0 OR n + 1 = 0
3n = 2 OR n = -1
n = 2/3 OR n = -1
Final answer: n = 2/3 OR n = -1
4:5 8:10 12:15 that some eqivelent ratios
Answer:
The center is -1,5 and the radius is 2
Step-by-step explanation:
Subtract 22 from both sides of the equation. x 2 + y 2 + 2 x − 10 y = − 22 Complete the square for x 2 + 2 x . ( x + 1 ) 2 − 1 Substitute ( x + 1 ) 2 − 1 for x 2 + 2 x in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 − 1 + y 2 − 10 y = − 22 Move − 1 to the right side of the equation by adding 1 to both sides. ( x + 1 ) 2 + y 2 − 10 y = − 22 + 1 Complete the square for y 2 − 10 y . ( y − 5 ) 2 − 25 Substitute ( y − 5 ) 2 − 25 for y 2 − 10 y in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 + ( y − 5 ) 2 − 25 = − 22 + 1 Move − 25 to the right side of the equation by adding 25 to both sides. ( x + 1 ) 2 + ( y − 5 ) 2 = − 22 + 1 + 25 Simplify − 22 + 1 + 25 . ( x + 1 ) 2 + ( y − 5 ) 2 = 4 This is the form of a circle. Use this form to determine the center and radius of the circle. ( x − h ) 2 + ( y − k ) 2 = r 2 Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin. r = 2 h = − 1 k = 5 The center of the circle is found at ( h , k ) . Center: ( − 1 , 5 ) These values represent the important values for graphing and analyzing a circle.
Answer: The height of the telephone pole = $15.046
Step-by-step explanation:
Given: Angle of elevation= 62 degrees.
Distance of Ben from the base of the pole = 8 feet
According to trigonometry, we have
i.e.
Hence, The height of the telephone pole = $15.046
