Answer: 5.150
Step-by-step explanation:
1. Multiply 28 by 6/7
2. Multiply 21 by 2/9
3. Divide 24 by 4.66
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: 9.82cm
Step-by-step explanation:
Area=l*w
5/8=10xw
dividing both sides by 10
w=5/80
w=1/16 inch
P^2+1 even because
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even
