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Nata [24]
3 years ago
14

HELP ASAP URGENT

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

The slope of given line in simplified form is 4

Further explanation:

Slope is defined as the steepness of any line.

Given

(x1,y1) = (-26,-37)

(x2,y2) = (-32,-61)

The formula of slope is given by:

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

Putting the values

m=\frac{-61-(-37)}{-32-(-26)}\\=\frac{-61+37}{-32+26}\\=\frac{-24}{-6}\\=4

The slope of given line in simplified form is 4

Keywords: Slope of line, Calculation of slope

Learn more about slope at:

  • brainly.com/question/7151553
  • brainly.com/question/6779145

#LearnwithBrainly

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A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent?
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What is the price per ounce, rounded to the nearest cent? $0.29.

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The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

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If y varies directly with x, and y is 6
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Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree h
stepan [7]

Answer:   c. elm

Step-by-step explanation:

Given : The circumference of the oak tree= 0.539 meters

=0.539\times100=53.9\text{ cm}   [∵ 1 m = 100 cm]             (1)

The circumference of the ash tree= 0.509 yards

=0.509\times3\text{ feet}   [∵ 1 yard = 3 feet]

=0.509\times3\times 30.48\text{ cm}  [∵ 1 foot = 30.48 cm]

=46.54296\approx46.54\text{ cm}        (2)

The circumference of the elm tree = 6281.70 millimeters

=\dfrac{6281.70}{10}=628.17\text{ cm}          (3)

The circumference of the poplar tree = 0.000385 miles

=0.000385 \times5280\text{ feet}   [∵ 1 mile = 5280 feet]

=0.000385 \times5280\times30.48\text{ feet}  [∵ 1 foot = 30.48 cm]

=61.959744\approx61.96\ \text{ cm}              (4)

From (1) , (2) , (3 ) and (4) it is clear that

46.54< 53.9 < 61.96 < 628.17

Hence, the elm tree has the greatest circumference.

5 0
3 years ago
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