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1 year ago

Find the equation of the line passing through the points (1,5) and (3,9)

Mathematics

1 answer:

Arada [10]1 year ago

8 0

Answer:

$\boxed{\sf{2}}$

Step-by-step explanation:

Use the slope formula.

$\underline{\text{SLOPE:}}$

$\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{Rise}{Run} }$

$\sf{y_2=9}\\\\\\\sf{y_1=5}\\\\\\\sf{x_2=3}\\\\\\\sf{x_1=1}$

$\sf{\dfrac{9-5}{3-1} }$

Solve.

$\sf{\dfrac{9-5}{3-1}=\dfrac{4}{2}=\boxed{\sf{2}}$

<u>Therefore, the slope is 2, which is our answer.</u>

I hope this helps. Let me know if you have any questions.

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A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position

Umnica [9.8K]

Answer:

height = 20.5068 m

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5 { since the wheel starts at 6 o clock }

midline C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( 4.71238898) + 20.5

height = -17.5 × cos( 4.712) + 20.5

height = -17.5 × -0.00038898 + 20.5

height = 0.0068 + 20.5

height = 20.5068 m

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2 years ago

One ounce is approximately 28.3 grams. Write a direct variation equation that relates x ounces to y grams.

Dmitry_Shevchenko [17]

Answer:

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Step-by-step explanation:

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3 years ago

Simplify: 3m over m-6 •5m3 - 30m2 over 5m2

vfiekz [6]

$\frac{3(5m^{4}-2m +12)}{m-6}$ should be the right answer

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3 years ago

Solve this problem <br> 3d+d-7=25/4

creativ13 [48]

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3 years ago

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The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive odd whole number?

Rufina [12.5K]

The series of odd numbers is:

1, 3, 5, 7, 9, 11, 13, ....

If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.

The formula for the sum of an Arithmetic Series is:

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)*d)$

Here,

n = number of terms = 100

a₁ = first term = 1

d = Common Difference = 2

Using the values, we get:

$S_{100}=\frac{100}{2}(2(1)+99*2)\\ \\ S_{100}=10000$

Thus, the sum of first 100 positive odd whole numbers is 10,000.

4 0

3 years ago

Find the equation of the line passing through the points (1,5) and (3,9)​

Find the equation of the line passing through the points (1,5) and (3,9)