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Anuta_ua [19.1K]
3 years ago
15

What is the solution to the system please help

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

(-\frac{50}{13},-\frac{12}{13})

Step-by-step explanation:

To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:

y=-\frac{4}{5}x-4

y=\frac{1}{2}x+1

You can now set them equal to each other:

-\frac{4}{5}x-4=\frac{1}{2}x+1

Add 4 to both sides:

-\frac{4}{5}x=\frac{1}{2}x+5

Multiply both sides by 2:

-\frac{8}{5}x=x+10

Multiply both sides by 5:

-8x=5x+50

Subtract 5x from both sides:

-13x=50

Divide both sides by -13:

x=-\frac{50}{13}

y=-\frac{12}{13}

Hope this helps!

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Answer:

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Step-by-step explanation:

The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.

Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:

c² = a² + b² - 2abcos(C)

Where,

c = distance between Marsha's ball and the hole = ?

a = distance between the tee for the fourth hole and the tee = 300 yd

b = distance between tee and the hole = 255 yd

C = 18°

c² = 300² + 255² - 2(300)(255)cos(18)

c² = 90000 + 65025 - 153000 × 0.951

c² = 155025 - 145503

c² = 9522

c = √9522 ≈ 97.5

c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)

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3 years ago
Of a total of 100 buses operated within a particular town, 48 usually run on time and 36 of these buses are owned by Jerry. Of t
miv72 [106K]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below is similar question:

<span>48 out of 100 private buses usually run on time. Out of the buses that are on time, only 36 are owned by Jerry. Out of the remaining 52 buses that usually run late, only 7 are owned by Jerry. What is the probability that a bus is owned by Jerry, given that it runs on time?
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B. 0.67
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D. 0.81
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The answer is C as <span>36/48 = .75</span>
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hope this helps

have a good day :)

Step-by-step explanation:

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