Answer:
D
Step-by-step explanation:
the center is (0,8)
(to solve this just flip the signs on the constants being added to x and y (there is an invisible constant of 0 being added to the x))
the radius is 7 (or √49)
Answer:
The distance between two points is √169 or 13.
Step-by-step explanation:
In the question we need to find the distance between two points 5,6 and 0,-6 given.
Distance between two points can be found using the formula:
Putting the given points in the formula we get,
x₂ = 0, x₁ = 5, y₂= -6, y₁= 6
So, the distance between two points is √169 or 13.
The quadratic formula is x=(-b+-sqrt(b^2-4(a)(c)))/2a
Using the quadratic formula, we get:
x=(-(-8)+-sqrt((-8)^2-4(15)(1)))/2(1)
x=(8+-sqrt(64-60))/2
x=(8+-sqrt(4))/2
x=(8+-2)/2
x=10/2 and x=6/2
x=5 and x=3
We could do it way faster by completing the square:
x^2-8x+15=0
(x-5)(x-3)=0
x=5 and x=3
Hope both methods make sense! BTW, the +- thing means add or subtract
Well first of all the shorter pipe would be 160ft bc 120/3 is 40 and 40*4 is 160 so the shorter piece is 160ft and 160+12 is 172 so the longer piece of pipe would be 172ft
I’m pretty sure I’m correct, lemme know if I’m not
Hope this helps :)
Answer: k = 5
Step-by-step explanation:
Box A has more counters than box B
3 * 4 = 12
4 + 8 = 12
So if k was equal to 4, then both boxes would have the same amount.
3 * 5 = 15
5 + 8 = 13
15 > 13
If k was equal to 5, then Box A would contain more counters than Box B.
