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Nikolay [14]
3 years ago
12

Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1). Include your work in your

final answer. Type your answer in the box provided or use the upload option to submit your solution. Please explain how you got the answer.
Mathematics
1 answer:
Aneli [31]3 years ago
5 0
In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,

    y - y₁ = m(x - x₁)

Substituting the known values,

   y - 1 = (2/3)(x - 1)

Simplifying,

    3y - 3 = 2x - 2

Further simplifying,

<em>  2x - 3y = -1</em>
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https://www.wyzant.com/resources/answers/499729/fireworks_can_go_up_to_1000_feet_in_around_3_seconds_what_s_is_it_s_average_vertical_speed_in_feet_per_second_and_miles_per_hour

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7 0
3 years ago
What is the exact area of a circle with a diameter of 18 feet
marin [14]
A = π r^2
A = 9^2 <span>π
</span>A = 81<span>π 

if using </span>π = 3.14 then

A = 3.14 x 81 = 254.47 ft^2

answer: 81π ft^2 or 254.47 ft^2

hope that helps
6 0
3 years ago
4 A numerical expression is shown below. Evaluate the expression.​<br><br>help please explain too
Andrews [41]

Answer:

H

Step-by-step explanation:

8 0
3 years ago
What is the base of the triangle when the area is 120ft and the height is 8ft
pochemuha

The base is 30.

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7 0
3 years ago
Read 2 more answers
Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92
mash [69]

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

6 0
3 years ago
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