AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If th
navik [9.2K]
Answer: the first one
Step-by-step explanation:
(x,y)->(4x, 4y)
Answer: He read 40% of the total time.
Step-by-step explanation:
As per given,
Total time he spent = 2 +1+2 = 5 hours
Number of hours he spent on reading = 2 hours
The percent of the total time he read = 
i.e. The percent of the total time he read = 40%
Hence, he read 40% of the total time.
Answer:
Distributive property
Step-by-step explanation:
-3/4*5/4-(-6/7)*(-3/4)
-15/16-(18/28)
-15*7-18*4/112
-105-72/112
-177/112
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
