Answer:
Step-by-step explanation:
We can complete the squares of the x- and y-terms by adding the square of half the linear term coefficient.
(x^2 +4x) +(y^2 -10y) = 7
(x^2 +4x +4) +(y^2 -10x +25) = 7 + 4 + 25
(x +2)^2 +(y -5)^2 = 6^2
Compare to ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . standard form equation of a circle
We see that the center is ...
(h, k) = (-2, 5)
and the radius is ...
r = 6
Answer:
918
Step-by-step explanation:
Apparently, the feet number is 3 times the yards number. For 308 yards, the height is 918 feet.
11. ) D.11
12.) should be 11 3/10 (unless u accidentally put addition instead of subtraction)
13.) C 7 9/16
14.) A. 3 2/3
Answer:
19.2 kg
Step-by-step explanation:
Amount of Bananas consumed in US per year = 5.77 million metric tons
Since 1 million =
and 1 metric ton = 1000 kg, we can write:
Amount of Bananas consumed in US per year =
metric tons
Amount of Bananas consumed in US per year =
kg
Number of people in US = 301 million = 
We have to find how many kilograms of bananas are consumed per person in 1 year in US. For this we have to divide the total amount of bananas eaten in US per year with total number of people in US, which will be:

This means, 19.2 kilograms of bananas are eaten in US per person in a year.
Answer:
x = 4±sqrt(19)
Step-by-step explanation:
Assuming you meant x^2 -8x = 3
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16= 3+16
The number inside the square term is the coefficient divided by 2
(x-4)^2=19
Take the square root of each side
sqrt((x-4)^2=±sqrt(19)
x-4 = ±sqrt(19)
Add 4 to each side
x-4+4 = 4±sqrt(19)
x = 4±sqrt(19)