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Elden [556K]
3 years ago
12

Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7

), D (3, 9), and F (15, 0) R (−5, −5), S (0, 2), D (8, 3), and F (1, 8)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

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A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give
attashe74 [19]

Answer:

There is no significant difference between the two averages at 5% level

Step-by-step explanation:

Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.

The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89

Thus he has done a hypothesis testing for comparison of two means of different subjects.  n =30

H_0: Mean of business majors = Mean of liberal arts majos\\H_a:Mean of business majors \neq  Mean of liberal arts majos

Since which is better is not claimed we use two tailed test here

We find that p value = 0.0524 >5% our alpha

Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted

4 0
3 years ago
Find the volume of the cylinder
AleksandrR [38]

The volume of the cylinder in terms of π is 18,095.5736 square yards,

the volume of the cylinder by using π equals 3.14 is 18.086.4 square yards.

Step-by-step explanation:

Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a radius of 12 yards and a height of 40 yards.

The volume of any cylinder = π × r² × h.

Step 2; The value of π equals 3.14159263588. So substituting this value in the equation to calculate the volume we get

The volume of the given cylinder = 3.14159263588 × 12² × 40 = 18,095.5736 square yards.

Step 3; If we substitute the value of π as 3.14 in the equation to calculate the volume, we get

The volume of the given cylinder = 3.14 × 12² × 40 = 18.086.4 square yards.

6 0
3 years ago
2 + 6m + 7 = 57<br> full answer no words pls i just wanna copy and paste
Neko [114]

Answer:

8

Step-by-step explanation:

2+6m+7=57

6m=57-7-2

6m=50-2

6m=48

m=48/6

m=8

8 0
2 years ago
Read 2 more answers
Using appropriate properties, find the value of 249² - 248²
Lady_Fox [76]

Answer:

\boxed{\bold{\huge{\boxed{497}}}}

Step-by-step explanation:

=> \sf 249^2 - 248^2

<u>Using Formula</u> \sf a^2 - b^2 = (a+b)(a-b)

<u><em>Where </em></u>

a = 249

b = 248

=> \sf (249+248)(249-248)

=> \sf (497)(1)

=> 497

3 0
3 years ago
Can you please tell me how to solve this?
Sedaia [141]

The answer is 142°


Explanation:

angle 1 and angle 2 form are supplementary.

m∠1 + m∠2 = 180°

38° + m∠2 = 180°

m∠2 = 180° - 38°

m∠2 = 142°


Hope it helps!

5 0
3 years ago
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