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4 years ago

Find the slope and y-intercept of the line that is perpendicular to y= -1/3 x+5 and passes through the point (-3,-7)

Mathematics

1 answer:

o-na [289]4 years ago

7 0

Perpendicular slope: 3

y + 7 = 3(x + 3)

y + 7 = 3x + 9

y = 3x + 2

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RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly

tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

$C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120$

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0

3 years ago

On his drive from Montpelier, Vermont, to Columbia, South Carolina, Arthur averaged 51 mph. If he had been able to average 60 mp

Llana [10]

Answer:

Distance between Montpelier and Columbia is 1020

Step-by-step explanation:

51 mi/hr average:

d = 51 t

60 mi/hr average:

d t = 60*(t-3)

Substitute (1) into (2)

51 t = 60*(t-3)

51 t = 60 t + 180

9 t = 180

t = 20

d = 51 t

= 51 (20)

= 1020

let see distance is 1020 lets check

51 t = 60 * (t-3)

51 (20)= 60* (20-3)

1020 = 60*17

1020 = 1020

4 0

3 years ago

Simplify (4x - 6) + (5x + 1). (2 points)

Llana [10]

Answer:

9x-5

Step-by-step explanation:

(4x-6)+(5x+1)

remove parentheses

4x-6+5x+1

collect like terms

9x-5

3 0

3 years ago

Read 2 more answers

Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?

pentagon [3]

Vertical angles is an X but that's how you tell if they're vertical angles

8 0

3 years ago

If Ms. T sets a goal to walk at least 13,000 steps each day, what is the percent increase she will have to make in order to reac

Bond [772]

Answer:

0.185%

Step-by-step explanation:

ms.T goals = 13000 steps per day

24/13000×100

2400

13000

=24/130

= 0.185%

8 0

3 years ago