∛x^5 y
= (x)^5/3 y^1/3
answer
B. second option
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -3/4
perpendicular line's slope is 4/3
#1: The slopes are the same, meaning they are parallel lines
#2: First isolate the "y" in the first equation
-4x + 5y = -5
5y = -5 + 4x
y = -1 + 4/5x They are not perpendicular because the slopes are 4/5 and -4/5
#3: Isolate "y" in the second equation
8y = 3x - 32
y = 3/8x - 4 They are perpendicular
#4: Isolate "y" is the 1st equation
10y = -9x
y = -9/10x They are parallel lines
The 3rd choice is your answer
1)
f(x)=tan 90º=indeterminated or ∞
Answer: y-value=indeterminated or ∞.
2)
Law of sines:
a/sin A=b/ sinB
In this case:
24 /sin 92º=7/sin Z
sin Z=(7*sin 92º)/24=0.29148...≈0.29
Z=arc sin (0.29)=16.95º
Answer: Z=16.95º.
3)
Law of cousines:
a²=b²+c²-2bc(cos A)
In this case:
12²=22²+19²-2(22)(19)cos T
144=484+361-836 cos T
-836 cos T=144-484-361
-836 cos T=-701
cos T=-701/-836
cos T=0.83851...≈0.84
T=arc cos (0.84)=33.02
Answer: T=33.02º
4)
The hypotenuse would be EF, because it is in front of the right angle.
The legs would be EG and FG
Answer: The legs would be EG and FG.
5)
cot Ф= adjacent /opposite=10/24=5/12
Answer: cot Ф=5/12
Answer:
The correct answer is m = 2/1 because they first point it reaches is (1,2) and so you insert those numbers (x,y) into the rise and run equation (y/x) and get the answer 2/1.
Hope this helps!
(Hint: M = Slope)
I'm pretty sure that it would be 1/2 since it says 1/3 each whole, which in this case it would be 1/3 each hour.
