Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
The number is 17 61/100. 61/100 can't be reduced, because 61 is a prime number.
Answer:
D. (x - 2)(x - 2)
Step-by-step explanation:
x2 - 4x + 4 = x² - 2x - 2x +4
= x(x-2) - 2(x - 2)
= (x-2)(x-2)
HINT: - 2x +4 = -2 * x + (-2) * (-2) = -2 ( x -2)
Answer: It makes 30 circles in a minute
Step-by-step explanation:
Cirle every 2 seconds
A minute is 60 seconds
So you divide those to get your answer
60 divided by 2= 30
Answer:
There are two possibilities:
and 
and 
Step-by-step explanation:
Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:
First, 
is cleared in the first equation:
Now, the variable is substituted in the second one:
And some algebra is done in order to simplify the expression:
Roots are found by means of the General Equation for Second-Order Polynomials:
and 
There are two different values for :
There are two possibilities:
and
and
