Y=-2x+7 That is the equation written in y=mx+b formula
Circle: x^2+y^2=121=11^2 => circle with radius 11 and centred on origin.
g(x)=-2x+12 (from given table, find slope and y-intercept)
We can see from the graphics that g(x) will be almost tangent to the circle at (0,11), and that both intersection points will be at x>=11.
To show that this is the case,
substitute g(x) into the circle
x^2+(-2x+12)^2=121
x^2+4x^2-2*2*12x+144-121=0
5x^2-48x+23=0
Solve using the quadratic formula,
x=(48 ± √ (48^2-4*5*23) )/10
=0.5058 or 9.0942
So both solutions are real and both have positive x-values.
Answer:
Her pin must be 1147
Step-by-step explanation:
A little trick I have up my sleeve when I have these kind of questions is that I find the square root of each number, then find what is prime.
Since the only prime numbers in the range of 31 and 38 is 31 and 37.
We can then multiply 31 by 37 to get 1147.
