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Klio2033 [76]
3 years ago
5

Slope intercept form? A line passes through the point (10,4) and has a slope of -1 over 2 .

Mathematics
2 answers:
Art [367]3 years ago
7 0

Hi There!

You have to find the second point.

4 - ? = -1

10 - ? = 2

4 - 5 = -1

10 - 8 = 2

Second Coordinate: (8, 5)

Y intercept is 13

Slope Intercept Form: y = -1/2x + 13

Hope This Helps :)

Law Incorporation [45]3 years ago
3 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m=-\dfrac{1}{2} and the point (10, 4).

Substitute the value of slope and the coordinates to the equation of line:

y=-\dfrac{1}{2}x+b\\\\4=-\dfrac{1}{2}(10)+b\\\\4=-5+b\qquad|\text{add 5 to both sides}\\\\9=b\to b=9

Answer: y=-\dfrac{1}{2}x+9

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Answer:

I don't know what you mean by names but I think you mean this:

<em>Synonyms & Antonyms of slope</em>

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4 0
2 years ago
A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t
Aleksandr [31]

Answer:

<u><em>y = -190 cos(π t / 120) + 195</em></u>

Step-by-step explanation:

<em>General form of a sinusoidal function: y = A cos(Bt - C) + D </em>

<em> </em>

<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative. </em>

<em> </em>

<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet. </em>

<em> </em>

<em> 2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120. </em>

<em> </em>

<em> C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0. </em>

<em> </em>

<em> D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet. </em>

<em> </em>

<em> Your final function will be:</em>

<u><em>y = -190 cos(π t / 120) + 195</em></u>

7 0
3 years ago
Identify the four step used to solve this equation 4(x-7)=2x-6
irinina [24]
1. Solve the bracket 4×x and 4 × -7
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2. Get the x on one side and the numbers on the other so: first +28
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3 0
3 years ago
A sphere has a volume of 36pi in^3 . Find the volume radius of the sphere.
sergejj [24]

Hi

the volume formula is

V=4 /3 * πr3

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6 0
3 years ago
Read 2 more answers
8x plus 8y equals 8. 8x plus 2y equals 28. Find x and y
alukav5142 [94]

Answer:

x,y = 13/3, -10/3

Step-by-step explanation:

8x+8y=8

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Hope this helps plz hit the crown :D

6 0
2 years ago
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