the distance between two cities on a map is 13cm.What is the actual distance between the cities if the map is drawn at a scale o
1 answer:
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Answer:
- The center (2, 2.5), radius
/ 2
Step-by-step explanation:
<u>The standard form of the equation of a circle is: </u>
- ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius
<u>Rewrite the given equation in the standard form:</u>
- 2x^2 + 2y^2 - 8x + 10y + 2 = 0
- x^2 - 4x + y^2 + 5y = -1
- x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
- (x - 2)^2 + (y + 2.5)^2 = 37/4
<u>The center is:</u>
- (2, 2.5)
<u>And radius is:</u>
- <u />
Answer:
Step-by-step explanation:
Given
--- not more than
spending
Solving (a): Represent as an inequality
Not more than means <
So, the inequality is:
Solving (b): The first two possible solutions
These are the numbers closest to 150 i.e. 149 and 148
Hence,
