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Hunter-Best [27]
3 years ago
14

Using the slope formula find the slope of the line through the given points. (1,1) and (6,6)

Mathematics
2 answers:
Elina [12.6K]3 years ago
4 0

Answer:

1

Step-by-step explanation:

We can find the slope by using

m= (y2-y1)/(x2-x1)

   = (6-1)/(6-1)

   = 5/5

   = 1

Alexeev081 [22]3 years ago
4 0

Answer:

5/5= 1

step-by-step explanation

slope (m)= 5/5 = 1

equation: y=1x

the points belong as an increasing, linear function.

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Krystal and Danielle each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Kr
Eddi Din [679]

Answer:

  • $9 and $6

Step-by-step explanation:

<u>Let the cost of daylilies = d and ivy = i, then we have below equations:</u>

  • d + 12i = 114
  • 10d + 10i = 150

<u>Simplify the second equation:</u>

  • d + i = 15

<u>Subtract the second equation from the first:</u>

  • d - d + 12i - i = 114 - 15
  • 11i = 99
  • i = 9, ivy costs $9

<u>Now find d:</u>

  • d = 15 - 9 = 6, daylilies cost $6

6 0
3 years ago
Just this please helppp
Murrr4er [49]

The height of the <em>water</em> depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.

<h3>How to derive equations for periodical changes in time</h3>

According to the two cases described in the statement, we have clear example of <em>sinusoidal</em> model for the height as a function of time. In this case, we can make use of the following equation:

h = a + A · sin (2π · t/T + B)     (1)

Where:

  • a - Initial position, in meters.
  • A - Amplitude, in meters.
  • t - Time, in hours or seconds.
  • T - Period, in hours or seconds.
  • B - Phase, in radians.

Now we proceed to derive the equations for each case:

Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):

A = (20 m - 8 m)/2

A = 6 m

a = 14 m

Phase

20 = 14 + 6 · sin B

6 = 6 · sin B

sin B = 1

B = π/2

h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.

Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):

A = (40 m - 2 m)/2

A = 19 m

a = 21 m

Phase

2 = 21 + 19 · sin B

- 19 = 19 · sin B

sin B = - 1

B = - π/2

h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.

Lastly, we proceed to graph each case in the figures attached below.

To learn more on sinusoidal models: brainly.com/question/12060967

#SPJ1

5 0
1 year ago
Which diagram represents a fraction equivalent to 75%?
kherson [118]
The last one is the right answer
7 0
3 years ago
Two similar cylinders have a scale factor of 1.6/3. Find the ratio of their volumes.
maksim [4K]
<em>1.6/3 = 16/30 = 8/15 </em>

<em> Volume Ratio: 512:27

∙•❁I hope this helps!❁•∙  </em>
7 0
3 years ago
Read 2 more answers
4) Find the surface area of a square pyramid with a slant height of 15 and a base
faust18 [17]

Answer:

531.73

Step-by-step explanation:

4 0
3 years ago
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