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podryga [215]
3 years ago
10

The slope of the line that passes through the points (3, 14) and (7, 9) is ASAP

Mathematics
2 answers:
vfiekz [6]3 years ago
8 0
-5/4 , by using m= (y2-y1)/ (x2-x1)
Nat2105 [25]3 years ago
4 0

Answer:

\boxed {\boxed {\sf m= - \frac{5}{4} }}

Step-by-step explanation:

The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The line passes through (3,14) and (7,9). Therefore,

x_1=3 \\y_1=14 \\x_2=7 \\y_2=9

Substitute the values into the formula.

m= \frac{9-14}{7-3}

Solve the numerator.

m=\frac{-5}{7-3}

Solve the denominator.

m= \frac{-5}{4}

This fraction is reduced, so it is the answer.

The slope is equal to <u>-5/4</u>

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7 0
3 years ago
Express the set in roster form.<br><br>{x|x is an integer greater than -6}
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7 0
3 years ago
An elliptical-shaped path surrounds a garden, modeled by quantity x minus 20 end quantity squared over 169 plus quantity y minus
Margaret [11]

The <em>maximum</em> distance between any two points of the ellipse is 34 feet.

<h3>Procedure - Determination of the distance between two points of a ellipse</h3>

The maximum distance between any two points of a ellipse is the <em>maximum</em> distance between the ends of the ellipse along the <em>longest</em> axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in <em>standard</em> form is defined by this formula:

\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1 (1)

Where:

  • h, k - Coordinates of the center of the ellipse.
  • a, b - Lengths of each semiaxis.

Hence, the maximum distance (d_{max}), in feet, is calculated by this formula:

d_{max} = 2\cdot b (2)

If we know that b = 17, then the maximum distance between any two points of the ellipse is:

d_{max} = 2\cdot (17\,ft)

d_{max} = 34\,ft

The <em>maximum</em> distance between any two points of the ellipse is 34 feet. \blacksquare

<h3>Remark</h3>

The statement is incomplete and poorly formatted, correct form is presented below:

<em>An elliptical-shaped path surrounds a garden, modeled by </em>\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1<em>, where all measurements are in feet. What is the maximum distance between any two points of the path.</em>

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

5 0
2 years ago
Pls help and show work so I can understand
masya89 [10]
Since there is no x it’s simply moving down 4. There is no movement left or right (x) just simply down for -4.

7 0
3 years ago
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