The formula for finding the distance between points is √(x-x₁)²+(y-y₁)²
x=0, y=6, x₁=5, y₁=12
√(0-5)²+(6-12)²
√(-5)²+(-6)²
√25+36
√61 is irrational
7.81 points(rounded to nearest hundredth) is the distance between those two points.
You can do that on photo math
Diameter = 24 m
radius = diameter/2 = 24 m / 2 = 12 m
area = pi * r^2 = 3.14 * (12 m)^2 = 3.14 * 144 m^2 = 452.16 m^2
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
Represent the number of days by x. With this representation, the variable cost of the rental is 31.67x. The total cost is the sum of the fixed and variable costs. This value should not be more than $500. The equation below shows the relationship.
130 + 31.67x ≤ 500
Solving for x gives x ≤ 11.68
Thus, the maximum number of days to rent the car is only 11 days.
