Answer:
x=1
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to −
2
+
2
y
=
5
.
Answer:
d = 5e
Step-by-step explanation:
Number of wagons = 5
Number of miles per wagon = e
Total number of mules = d
Hence, relationship between total mules d needed will be ;
Total mules = number of wagons * Numbe rof mules per wagon
d = 5e
Answer:
180 calculators.
Step-by-step explanation:
She has 180 calculators because if you were to un - simplify 5:1 you would get 180:5 and you would use the first number. So, you have 180 calculators.
Sorry if this is wrong I tried my best.
Answer: See Below
<u>Step-by-step explanation:</u>
NOTE: You need the Unit Circle to answer these (attached)
5) cos (t) = 1
Where on the Unit Circle does cos = 1?
Answer: at 0π (0°) and all rotations of 2π (360°)
In radians: t = 0π + 2πn
In degrees: t = 0° + 360n
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Where on the Unit Circle does
<em>Hint: sin is only positive in Quadrants I and II</em>


In degrees: t = 30° + 360n and 150° + 360n
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Where on the Unit Circle does 
<em>Hint: sin and cos are only opposite signs in Quadrants II and IV</em>


In degrees: t = 120° + 360n and 300° + 360n
Simplify the following:
(6^5/7^3)^2
7^3 = 7×7^2:
(6^5/(7×7^2))^2
7^2 = 49:
(6^5/(7×49))^2
7×49 = 343:
(6^5/343)^2
6^5 = 6×6^4 = 6 (6^2)^2:
((6 (6^2)^2)/343)^2
6^2 = 36:
((6×36^2)/343)^2
| | 3 | 6
× | | 3 | 6
| 2 | 1 | 6
1 | 0 | 8 | 0
1 | 2 | 9 | 6:
((6×1296)/343)^2
6×1296 = 7776:
(7776/343)^2
(7776/343)^2 = 7776^2/343^2:
7776^2/343^2
| | | | 7 | 7 | 7 | 6
× | | | | 7 | 7 | 7 | 6
| | | 4 | 6 | 6 | 5 | 6
| | 5 | 4 | 4 | 3 | 2 | 0
| 5 | 4 | 4 | 3 | 2 | 0 | 0
5 | 4 | 4 | 3 | 2 | 0 | 0 | 0
6 | 0 | 4 | 6 | 6 | 1 | 7 | 6:
60466176/343^2
| | | 3 | 4 | 3
× | | | 3 | 4 | 3
| | 1 | 0 | 2 | 9
| 1 | 3 | 7 | 2 | 0
1 | 0 | 2 | 9 | 0 | 0
1 | 1 | 7 | 6 | 4 | 9:
Answer: 60466176/117649