Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function cosine is equal to
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function tangent is equal to
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
The distributive property....ur basically multiplying the number outside of the parenthesis by everything in the parenthesis....to get rid of the parenthesis.
9(2 + 5m) = (9 * 2) + (9 * 5m) = 18 + 45m <==
To factor first multily 100 and 1 and get 100
then find what 2 numbers multiply to get 100 and add to get 20
the numbers are 10 and 10
so
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2
check the picture below.
notice, a function that is decreasing, namely have a negative slope, doesn't have to be negative.