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valentinak56 [21]
3 years ago
6

Determine of which lines, if any, are parallel or perpendicular. Explain.

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

lines b and c are perpendicular

Step-by-step explanation:

Use slope

slope for parallel is the same

slope for perpendicular is negative reciprocal

line a slope- 1-3/-2-0 is -2/-2 or 1

line b slope- 1-4/4-6 is -3/-2 or 3/2

line c slope- 3-1/1-4 is 2/-3 or - 2/3

none are the same so none are parallel

- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular

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Zebras migrate in a circle with a round trip of about 300 miles. They travel at 64 km/h. How many hours does it take zebra to do
Tresset [83]

Answer:

7.5 hours (7 hours and 30 minutes)

Step-by-step explanation:

ok Let's start with 64km/h.

1.6 km=1 mile,

64÷1.6=40miles

so 64km/h changes into 40miles/hour.

Zebras's round trip =300miles,

300/40=7.5

so answer is 7.5 hours.

8 0
3 years ago
Find the midpoint of the segment between the points (17,−11) and (−14,−16)
Viefleur [7K]

Answer:

(1.5, -13.5)

Step-by-step explanation:

Midpoint Formula: (\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

Simply plug in our coordinates into the formula:

x = (17 - 14)/2

x = 3/2

y = (-11 - 16)/2

y = -27/2

4 0
3 years ago
Read 2 more answers
hile sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as
PSYCHO15rus [73]

Answer:

Second hand will turn through 74π radians.

Step-by-step explanation:

There are 37 minutes left in the class. We need to find by how much angle will the second hand turn before the end of the class.

When a second hand completes one full rotation along the clock it covers 360 degrees and completes 60 seconds.

This means:

In 60 seconds, the second hand turns by 360 degrees

Since, 60 seconds = 1 minute, we can write:

In 1 minute, the second hand turns = 360 degrees

360 degrees is equal to 2π radians. So,

In 1 minute, the second hand turns = 2π radians

Multiplying both sides by 37 gives us:

In 37 minutes, the second turns = 2π radians x 37 = 74π radians

8 0
3 years ago
1. Find the value of
spin [16.1K]

9514 1404 393

Answer:

  1. -√5
  2. 3/5
  3. -4/5

Step-by-step explanation:

The relevant relations are ...

  sec = ±√(tan² +1)

  cos = 1/sec

  csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

__

1. sec(θ) = -√((-2)² +1) = -√5

2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

8 0
2 years ago
the probability of winning a game is 20%. if you play 20 times how many times should you expect to win
julia-pushkina [17]
The probability of winning a game out of 20 is 4 times. 
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3 years ago
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