I got m∠L=72.54 since arccos(18/60)= <span>72.5423968763</span>.
Answer:
y=5/3x+7/3
Step-by-step explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)
label the points:
x1=1
y1=4
x2=-2
y2=-1
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3
Here's the equation so far:
y=5/3x+b (b is a place holder)
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together:
y=5/3x+7/3
Hope this helps!
Answer:
The answer is 8.25 ( No CALCULATORS) - solves from my brain :)
Step-by-step explanation:
99 divided by 12 in decimal = 8.25
99 divided by 12 in fraction = 99/12
99 divided by 12 in percentage = 825%
Answer:
8+3*25, 83,2^3+3*5^2, are all equivalent
Step-by-step explanation:
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
