A. f(1)=5 (as defined on the second line, x=1) TRUE because f(1)=5
B. f(5)=5^2=25 (as defined on third line, x>1) FALSE because f(5) ≠ 1
C. f(-2)=2(-2)=-4 (as defined on first line, x<1) FALSE because f(-2) ≠ 4
D. f(2)=2^2=4 (as defined on third line, x>1) TRUE because f(2)=4
Answer:
The bearing of B from C is 22° counterclockwise
Step-by-step explanation:
∠CAB = 210 - 90 = 120°
Extend a line from A to the west.
drop a perpendicular line from that line to point C.
Let's call the point at the perpendicular point, M.
∠MAC = 180° - 120° = 60° because they are supplementary.
Now we have a right ∠CMA with a known hypotenuse and a known angle.
Solve for MA:
cos 60° = MA/3.8 = 1.9
Solve for MC:
sin 60° = MC/3.8 = 3.29
MB = 1.9 + 6.4 = 8.3
tan ABC = 3.29/8.3 = 21.62°
Answer:
D
Step-by-step explanation:
The "Let something else figure this out answer" should be attempted with a graph. Start with the graph of f(x) = (x)^(1/3)
When you have that, you know that the graph has been shift right 1 unit which means that you are after g(x) = (x - 1)^(1/3) which means that only B or D can be correct, but which is it. The difference between the two is the minus sign. Is it g(x) = (x - 1)^(1/3) or is it g(x) = -(x - 1)^(1/3)? It turns out that it is g(x) = - (x - 1)^(1/3) because that creates a reflection across the x axis.
The graph is a bit confusing because I've chosen to put all three graphs on the same axis, which is not the clearest thing to do. But if you study it carefully you'll see which is the answer.
Red: f(x) = (x)^(1/3)
Blue: g(x) = (x - 1)^(1/3)
green:g(x) = -(x - 1)^(1/3) [ Closest to your given graph]
Answer: Green (D)
Answer:
The equation of line in SLOPE INTERCEPT is y = x -1
Step-by-step explanation:
Here, two points given on the line equation are
A(5,4) and B(-4,-5)
Now The slope of the line AB =
or,
⇒ the slope of AB is m = 1
By SLOPE INTERCEPT FORMULA:
The equation of a line with slope m and a point (x0, y0) is given as
(y-y0)= m (x-x0)
⇒ The equation of line with point (5,4) is:
(y - 4) = (1) (x -5)
or, y - 4 = x - 5
⇒ y = x - 5 + 4
Now, SLOPE INTERCEPT FORM of a line equation is y = mx + c
⇒ y = x -1
Hence, the equation of line in SLOPE INTERCEPT is y = x -1