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3 years ago

A quadrilateral has the following vertices on a coordinate plane:

Mathematics

2 answers:

dolphi86 [110]3 years ago

8 0

<h3>Answer: 4</h3>

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Explanation:

We'll only focus on points J and K.

J = (3, -6)

K = (-1, -6)

Because these two points have the same y coordinate (which is -6), this means we can ignore those values and subtract the x coordinates

3 minus (-1) = 3 - (-1) = 3 + 1 = 4

Or we could plot points J and K on the same xy grid system, and count out the number of spaces between J and K. You should count out 4 spaces.

This means segment JK is 4 units long.

Allisa [31]3 years ago

6 0

Answer:

The answer is -10

Step-by-step explanation:

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The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

7 0

3 years ago

Given tanx=8/15 when pi < x < 3pi/2, find tan x/2.

S_A_V [24]

Answer:

$tan(x/2)=-4$

Step-by-step explanation:

we know that

The angle x belong to the III quadrant -----> given problem

step 1

Find the angle x

$x=arctan(8/15)=28.07\°$

Remember that the angle x belong to the III Quadrant

$x=28.07\°+180\°=208.07\°$

step 2

Find angle x/2

$x/2=208.07\°/2=104.035\°$

step 3

Find tan(x/2)

$tan(104.035\°)=-4$

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3 years ago

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ANTONII [103]

We can solve this problem by using the laws of exponents. The laws of exponents state:

$\frac{x^{n} }{x^{y} }$ = $x^{n-y}$

We can use this law in our situation. The answer here, using the laws of exponents, is $5^{6-5}$ or 5.

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sladkih [1.3K]

Answer: A.

Step-by-step explanation:

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Mars2501 [29]

Answer:

108 units

Step-by-step explanation:

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