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Amanda [17]
3 years ago
14

A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

A

Step-by-step explanation:

the formula of the slope is (y2 - y1)/(x2 - x1)

slope = (3-2)/(-1-2) = 1/(-3) = -1/3

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The night watchman in a factory cannot guard both the safe in back and the cash register in front. The safe contains $6000, whil
Zolol [24]

Answer:

The guard should be positioned at the safe

Step-by-step explanation:

The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.

The expected value of robbing the safe is:

EV_{s} = \$ 6000*0.2\\EV_{s} = \$ 1200

The expected value of robbing the cash register is:

EV_{r} = \$ 1000*0.8\\EV_{r} = \$ 800

Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.

7 0
3 years ago
Hi can anyone help me with this ..​
aleksley [76]

Answer:

n = π/6, π/4, 3π/4, 5π/6

Step-by-step explanation:

sin(3n) − sin n = cos(2n)

Use double and triple angle formulas:

(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n

2 sin n − 4 sin³ n = 1 − 2 sin² n

4 sin³ n − 2 sin² n − 2 sin n + 1 = 0

Factor by grouping:

2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0

(2 sin² n − 1) (2 sin n − 1) = 0

Solve:

2 sin² n − 1 = 0

2 sin² n = 1

sin² n = 1/2

sin n = √2/2

n = π/4, 3π/4

2 sin n − 1 = 0

2 sin n = 1

sin n = 1/2

n = π/6, 5π/6

4 0
3 years ago
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
enot [183]

Answer:

(1,1)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
55.8 is 62% of what number
8_murik_8 [283]
All you have to do is multiply 55.8 by .62 to get the answer which is 34.596 but I rounded up it to 34.60
7 0
3 years ago
Read 2 more answers
Math question down below
Alja [10]

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

4 0
4 years ago
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