(5x-3) (25x^2+15x+9)
I hope this helps
Answer:
48 people could play laser tag.
Step-by-step explanation:
This problem represents a linear equation since there is a constant rate of change, in this case a rate of $10 per person. There is also an initial rate of $15 that must also be paid. Since you have a $500 gift card, you can set an equation to find the number of people that would be able to play laser tag based on the costs and your total spending money:
500 = 10x + 15, where 500 is your available money on the gift card, 10 is your charge per person, 'x' is the number of people and 15 is your insurance down payment. Now, solve for 'x':
Use inverse operations: 500 - 15 = 10x + 15 - 15
Combine line terms: 485 = 10x
Use inverse operations: 485/10 = 10x/10
Solve: x = 48.5
Since you can't pay for half of a person, the most people that you could pay for is 48.
It will take 7.666666667 hours ( or so ) to travel from Boston to Washington, so if he leaves at 7:30 he will arrive at ( not including the decimal ) 2:30 pm.
Hope this helps, if not, comment below please!!!
Answer:
a) center: (-3, 2)
b) radius: √65
c) equation: (x +3)² +(y -2)² = 65
Step-by-step explanation:
a) The center (point A) is the midpoint of the diameter, so its coordinates are the average of the endpoint coordinates:
A = (P +Q)/2 = ((-10, -2) +(4, 6))/2
= (-10+4, -2+6)/2 = (-6, 4)/2
A = (-3, 2)
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b) The radius is the distance from the center to one end of the diameter. The distance formula can be used to find that.
r = √((x2 -x1)² +(y2 -y1)²) = √((4-(-3))² +(6 -2)²) = √(49+16)
r = √65
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c) The circle centered at (h, k) with radius r has formula ...
(x -h)² +(y -k)² = r²
So the formula for this circle is ...
(x +3)² +(y -2)² = 65
Answer: m=6
Step-by-step explanation:
Divide both sides by 3.4
3.4m/3.4 and 20.4/3.4
