108 divided by 72= $1.50 per bag
1.50 times 126= 84
84 minus 72= 12
then check work
84 times $1.50
Hi there! The answer is h = 65
To find our answer we plug in our data in the formula:
Divide both sides by 62.8
1<span>4√3 + 7√3
same sqrt roots we can add them
21</span>√3
Answer:
(x-3)² + (y+2)² = 72
Step-by-step explanation:
center is halfway between (9,-4) and (-3,8).
average of x-coordinates = (9-3)/2 = 3
average of y-coordinates = (-4+8)/2 = -2
center: (3,-2)
length of diameter = √[(9-(-3))²+(-4-8)²] = √288 = 12√2
radius = 6√2
(x-3)² + (y+2)² = (6√2)² = 72
<span>Since the major axis is 80 yards long, the distance from the center to a vertex on the major axis, which is the "a" in the equation, would be 40 yards. With similar logic we can find that the distance from the center to a vertex on the minor axis, "b" in the equation, would be 36 yards.
</span><span>With the center, a and b we are just about ready to write the equation. The standard forms for equations of ellipses are:
(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 for ellipses with horizontal major axes and
</span>x-h)^2 / b^2 + (y-k)^2 / a^2 = 1 for ellipses with vertical major axes
<span>Since the major axis is the x-axis, which is horizontal, we will use the first form. Using the values we found for a and b and the x-coordinate of the center as "h" and the y-coordinate of the center as "k" we get:
(x-0)^2 / (40)^2 + (y-0)^2 / (36)^2 = 1
which simplifies to:
x^2 / 1600 + y^2 / 1296 = 1</span>