Answer:
1
Step-by-step explanation:
Property of multiplication
The standard form for the equation of a circle is :
(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
where handk are the x and y coordinates of the center of the circle and r is the radius.
The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−3,-2)and(7,-6) is :
((−3+7)/2,(-2+(-6))/2)=(2,-4)
So the point (2,-4) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−3−(2))^2+(-2-(-4))^2=25+4=29
⇒r=√29
Subtituting h=2, k=-4 and r=√29 into EQ(1) gives :
(x-2)^2+(y+4)^2=29
Answer: 7⁴, 7 to the fourth power, 7x7x7x7
The answer is D. y = -2x + 20. This is because it has a negative slope (-2x). When a number in a slope-intercept equation has the variable (x), that determines the positive or negative association. If it is a positive slope, it travels up from left to right. If it is a negative slope, it travels down from left to right.
Answer:
x = 1178 games
Step-by-step explanation:
Let the number of games = x
Let the total cost = Tc
Let the total revenue = Tr
Given the following data;
Investment = $10,000
Cost of each game = $1.50
Selling cost = $9.99
Total cost, Tc = (Cost of each game * Number of games) + Investment
Tc = 1.50x + 10000
Total revenue, Tr = Selling cost * Number of games
Tr = 9.99x
Breakeven point is when total cost is equal to total revenue;
Tc = Tr
x = 1177.86 ≈ 1178 games.
<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>
