Answer:
293.04 miles
Step-by-step explanation:
249.48 miles / 12.6 gallons is a proportion that is given to be true so we look to find an equivalent fraction that has 14.8 gallons in it and that respects this proportion.
Answer:
Answer should be C
Step-by-step explanation:
Im not entirely sure
Answer:
2
Step-by-step explanation:
We must first solve the first equation to solve the second question. If we make up an answer for each variable in the first equation, it will make it easier to solve the next. Now lets say that each of the fractions will be equal to 1/3. We can then find out that x=2, y=4, and z=4012. We then have to factor the second equation's fractions. we can factor out x, y, and z out of each fraction respectively. The equations become the same as the first set, but x, y, and z instead of 1, 2 and 2006. because we know that x=2, y=4, and z=4012, we can simplify each fraction to become 2/3, and add these fractions up to equal 2.
a. The general equation for a circle centered at
with radius
is

The described circle has equation

We know the circle passes through the origin. This means that the equation above holds for
and
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine
:

So the circle's equation is

b. If the distance between point B and the center is less than
, then B lies inside the circle. If the distance is greater than
, it falls outside the circle. Otherwise, if the distance is exactly
, then B lies on the circle.
The distance from B to the center is

, so
, which means B falls outside the circle.
L + W + L + W = 1,008 feet
A) 2L + 2W = 1,008 feet
B) L = W + 166
Multiplying Equation B by -2
B) -2L = -2W -332
B) -2L + 2W = -332 then adding equation A
A) 2L + 2W = 1,008 feet
4W = 676
Width = 169
Length = 169 + 166 = 335