Answer:
60 degrees.
Step-by-step explanation:
BC is parallel to the x axis (because B and C have the same y-coordinate).
Slope of AB is 3/√3 = √3
so the angle AB makes with the axis = angle it makes with BC
= arctan(√3)
= 60 degrees.
Answer:
Answer:
f(g(x)) = g(f(x)) = x and f and g are the inverses of each other.
Step-by-step explanation:
Here, the given functions are:
To Show: f (g(x)) = g (f (x))
(1) f (g(x))
Here, by the composite function:
⇒ f (g(x)) = x
(2) g (f(x))
Here, by the composite function:
⇒ g (f(x)) = x
Hence, f(g(x)) = g(f(x)) = x
⇒ f and g are the inverses of each other.
3km = 3000m
Total = 3000 + 800 + 3000 = 6800m
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Answer: He walked a total of 6800m.
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I think you basically just got to add everything up . I mean , i can already tell this is a graph question but it says perimeter so perimeter somehow means add everything up. But im still not too sure ..
Answer:
Step-by-step explanation:
<u>Find the intersection of circles</u>
- x² + y² + 2x = 0 and
- x² + y² - 3y = 0
<u>Subtract the equations to find:</u>
<u>By substitution find the points:</u>
- (0, 0) and (-1.385, 0.923)
<u>Find midpoint between these two points:</u>
- x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615
<u>Find perpendicular bisector passing through this point:</u>
- y - 0.4615 = 3/2(x + 0.6925)
- y = 1.5x + 0.4615 + 1.5(0.6925)
- y = 1.5x + 1.50025
<u>Find intersection of the lines, it is the center:</u>
- y = 1.5x + 1.50025
- x + 2y + 8 = 0
<u>Solving we get:</u>
<u>Find radius, the distance from center to point (0, 0) and get equation of circle:</u>
- (x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
- x² + 5.5x + y² + 5.25y = 0
- 4x² + 22x + y² + 21y = 0
- 4x² + 4y² + 22x + 21y = 0