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3 years ago

Need help finding the slope line through each pair

Mathematics

1 answer:

Kay [80]3 years ago

8 0

Answer:

9) -25/21

11) 14

Step-by-step explanation:

In each case, subtract the y-coordinates. Subtract the x-coordinates in the same order. Divide the difference in y by the difference in x.

y-coordinates: -10 - 15 = -25

x-coordinates = 6 - (-15) = 21

slope = (difference in y)/(difference in x) = -25/21

11)

y-coordinates: -20 - 8 = -28

x-coordinates = 3 - 5 = -2

slope = (difference in y)/(difference in x) = -28/(-2) = 14

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A single 6-sided die is rolled twice. The set of 36 equally likely outcomes is {(1,1), (1,2), (1,3), (1,4), left parenthesis

Dennis_Churaev [7]

Answer:

The probability of getting two numbers whose sum is greater than 9 and less than 13 is $\frac{1}{6}$

Step-by-step explanation:

Given : A single 6-sided die is rolled twice.

To find : The probability of getting two numbers whose sum is greater than 9 and less than 13 ?

Solution :

The set of 36 equally likely outcomes,

1 2 3 4 5 6

1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

Getting two numbers whose sum is greater than 9 and less than 13

The favorable outcome is (4,6),(5,5),(5,6),(6, 4),(6, 5),(6, 6) = 6

The probability is given by,

$\text{Probability}=\frac{\text{Favorable Outcome}}{\text{Total Outcome}}$

$\text{Probability}=\frac{6}{36}$

$\text{Probability}=\frac{1}{6}$

Therefore, The probability of getting two numbers whose sum is greater than 9 and less than 13 is $\frac{1}{6}$

5 0

4 years ago

What is an equation for a sine curve with amplitude 2, and period 4pi radians ?

Nezavi [6.7K]

1. a sine curve with amplitude 2, and period 4pi radians

the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ amplitude 2, and period 4pi radians

∴ y = 2 sin (θ/2)

The correct answer is option D. y = 2 sin (θ/2)
===========================================

2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ

comparing with y = a cos nθ

where : a is the amplitude and n = 2π/period
amplitude = 5 , period = 2π/n = 2π/2 = π


The correct answer is option B. Period: pi radians: Amplitude:5

============================================================
3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3

The correct answer is C. -sqrt3

=====================================================
4. Tan 5π/6 = tan 150° = -(√3)/3

150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3

The correct answer is B.-sqrt3/3

8 0

4 years ago

पायप In a school of 300 students, how many would you expect to be left-handed

Debora [2.8K]

150 students. there are two hands. therefore, 50% chance of being left handed, 50% chance of being right handed. 50%= half. half of 300=150. 150 students should be expected to be left-handed.

4 0

3 years ago

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is

Paladinen [302]

Answer:

i think the answer is 125.66 (or 125.6 if you use 3.14 as pi)

Step-by-step explanation:

First find the area of the blue circle by multiplying pi times the radius squared to get 380.13 (or 379.94 if multiplied 3.14)

Then find the area of the orange circle by doing the same thing to get 254.47

(or 254.34 if multiplied by 3.14)

finally subtract 380.13-254.47 to get 125.66.

(or 125.6)

6 0

3 years ago

Which statement represents the expression?

ipn [44]

Answer:

Which statement represents the expression?

24−8÷4

A. 24 minus 8 divided by 4

B. the difference of 24 and 8 divided by 4

C. 24 minus the quotient of 8 divided by 4

D. 24 minus 4 divided by 8

The answer is a. 24 minus 8 divided by 4

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7 0

3 years ago

Need help finding the slope line through each pair ​

Need help finding the slope line through each pair