Answer:
look below
Step-by-step explanation:
thing to note:
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
opposite= side across angle you are using
hypotenuse= side across 90 degree angle
adjacent= remaining side
angle B
sin = 6/10
cos = 8/10
tan = 6/8
angle C
sin = 8/10
cos = 6/10
tan = 8/6
hope that helped. let me know if you have any questions:)
Answer:
1:4
Step-by-step explanation:
Let's find the ratio of one side of Figure A to one side of Figure B. Note that the have to be the same side on each triangle (Ex: The short side and the short side or the medium length side and the medium length side or the long side and the long side)...
14:56
We can simplify this into...
1:4
We can use the substitution method to solve this problem.
The second equation is

, so we can plug in 2x for 'y' in the first equation:


Multiply:

Combine like terms:

This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:


Multiply:

This is the y-value of our solution. So our entire solution is (3, 6).
Answer:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
Step-by-step explanation:
We are given the function f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.
The f(x) = - |x| +4 has two important caracteristics:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.
Attached you can find the graph
Answer:
g(n) = 18 - 4n
Step-by-step explanation:
Given the recursive formula
g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14
The explicit formula for an arithmetic sequence is
g(n) = g(1) + (n - 1)d , then
g(n) = 14 - 4(n - 1)
= 14 - 4n + 4
= 18 - 4n