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kupik [55]
3 years ago
13

Write an equation of the line through (-2, - 1) having slope 8/7?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

When slope and one point are known follow instructions on this page:

http://www.1728.org/distance.htm

Calculate "b" from this equation:

b = y -mx where "m" is the slope

We'll use the point given (-2, -1) for "x" and "y"

b = -1 -(8/7) * -2

b = -1 + 16/7

b = 9/7

then we enter "b" and the slope into this equation

y = 8/7x +9/7

y = 1.142857 x + 1.2857142857

Step-by-step explanation:

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Tamiku [17]

Answer:

work is shown and attached

7 0
3 years ago
The football coach is overseeing the installation of new goal posts on the football field. He is wondering if the goal posts are
Westkost [7]

Answer:

Correct option is D. No, since the ratios of the corresponding sides are not proportional.

Step-by-step explanation:

Please refer to the attached figure

Let height of coach represents by AB = 6 feet

And shadow of coach represents by BC = 4 feet

Let height of goal post represents by DE = x feet

And Shadow of goal post represents by EF = 12 feet.

Since measurement of shadows are at same time. therefore  ratio of height of coach and height of goal post  must be same as ratio of shadow of coach and shadow of goal post.

⇒ 6/x = 4/12

⇒x = 72/4 = 18 feet

So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.

Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.

8 0
3 years ago
Develop an estimate for each of the following situations.(at) The cost of a 500-mile automobile trip, if gaso-line is $4 per gal
Olin [163]

Answer:

The answer is below

Step-by-step explanation:

develop an estimate for each of the following situations.

(a) The cost of a 500- mile automobile trip, if gasoline is $4.00 per gallon, vehicle wear and tear is $0.65 per mile, and our vehicle gets 25 miles per gallon.

(b) The total number of hours in the average human life, if the average life is 75 years.

(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon averages 100 miles per day, the diameter of the earth is ~4,000 miles.

Solution:

a) The total trip = 500 mile

Cost of wear and tear = $0.65 per mile = $0.65 * 500 mile = $325

25 miles takes 1 gallon of gasoline at a cost of $4 per gallon

Cost of gasoline = $4 per gallon * 500 miles / 25 miles per gallon = $80

cost of a 500-mile automobile trip = Cost of wear and tear + Cost of gasoline = $325 + $80 = $405

b) Average life of human = 75 years.

1 year = 365 days, 1 day = 24 hours

Average life of human in hours = 75 years * 365 days * 24 hours =657000 hours

c) Diameter of earth = 4000 miles

Distance of equator = diameter of earth = 4000 miles

100 mile per day

number of days for the balloon to travel round the earth = 4000 miles / (100 mile per day) = 40 days

5 0
2 years ago
What math symbol is this? <br> Σ
omeli [17]

Answer:

summation

Step-by-step explanation:

This symbol is the summation symbol

It means to sum what comes after it

3 0
3 years ago
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