Answer:
y=-2x-4
Step-by-step explanation:
Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
where
(h,k) is the center and r is the radius
we have
Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
The center is the point (6,-3) and the radius is r=5 units
The difference between the first water station and the second would be 1/3 of the total mile distance.
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 <em>multiply by -1.75</em> -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 <em>does not change </em>2.25a + 1.75c = 635.50
<em>Add these equations together</em>
-1.75a - 1.75c = - 514.50
<u><em> </em></u><u>2.25a + 1.75c = 635.50 </u>
<em> </em> .50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
It is (0,5). If you plug in 0 for x and 5 for y, then you will see that the inequalities are true.
