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laiz [17]
3 years ago
13

Write the equation of the line that passes through the given points.

Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

Step-by-step explanation:

Going from (15/8,0) to (17/8,1/2), we see that x (the 'run') increases by 2/8, or 1/4, and that y (the 'rise') increases by 1/2.  Thus, the slope of this line through the given points is m = rise / run = (1/2) / (1/4) = 2.

Using the point-slope formula for the equation of a line, we obtain:

y - 0 = 2(x - 15/8), or

y = 2(x - 15/8) (simplest form), or

8y  = 2x - 15/4, or

2x - 8y = 15/4, or

8x - 32y = 15

All of these are correct; they are 'equivalent.'

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I bet you want Brainlest!! Click HERE!!!<br> Please help me!!!<br> BRaNiElsT!!!!!<br> Click!!!
Ilia_Sergeevich [38]

What? What's your question?

3 0
3 years ago
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A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0
1 year ago
Which of the following is a reasonable estimated answer to the following problem?
bulgar [2K]
989,867 \approx 1,000,000
999 \approx 1000

\implies  \frac{989,867}{999} \approx  \frac{1,000,000}{1000}
\frac{1,000,000}{1000} = 1000

So the answer is approximately 1000.
4 0
3 years ago
Read 2 more answers
What is the equivalent expression for 8b-4b
larisa86 [58]

Answer:

I think it's 4b

Step-by-step explanation:

Do 8b-4b=4b

A term is a expression.

6 0
3 years ago
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20 POINTS FOR THIS!!!!!!!!!!!!!!!!!!!!!!!!
Sloan [31]

Answer:

b = 13

Step-by-step explanation:

the value of the discount is a constant, while the total cost of the books is a variable because it depends of the purchase

We can write this equation

5b - 7 = 58

Solve it

1) add 7 at both members

5b -7 + 7 = 58 + 7

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2) divide both membera by 5

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7 0
2 years ago
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