Answer: My fellow friend, it’s 208!
Step-by-step explanation:
Ax+by=c is the standard form
you are given the slope and a point, so first write the equation in point-slope form:
y-(-3)=2/3(x-6)
expand the equation: y+3=(2/3)x-4
(2/3)x-y=7 is the standard form
Answer:
Total distance covered by the maintenance worker = 9189.16 feet
Step-by-step explanation:
An amusement park has a diameter = 975 feet
Radius of the park = 
r = 
r = 487.5 feet
Since a maintenance worker walks around the park three times, that means he covers the circumference of the circle thrice.
Circumference = 2πr
C = 2π(487.5)
C = 975π feet
He covers this distance thrice,
So total distance covered by him = 3 × (975π)
= 2925π
= 9189.16 feet
Therefore, he walks 9189.16 feet per day.
20 - (3 x 2 cubed - 5 ) The Answer Is 1
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
