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IRINA_888 [86]
2 years ago
5

What is the slope of the line that passes through the points (-10, -8) and

Mathematics
2 answers:
RoseWind [281]2 years ago
5 0

Answer:

Equation: y = -4x + 32

Slope: -4

Step-by-step explanation:

Given : (-10,-8) and (-8, -16)

Slope Formula:   \frac{y_1 - y_2}{x_1-x_2}

Solve For Slope,  Input Given Points:

  • \frac{-8 - (-16)}{-10 - (-8)}
  • \frac{8}{-2}
  • -4

Solve for y-intercept:

Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.

  • y = -4x + b
  • -8 = -10(4) + b
  • -8 = -40 + b
  • b = 32

Equation of LIne: y = -4x + 32

-Chetan K

KonstantinChe [14]2 years ago
5 0

Answer:

(1,-4)

Step-by-step explanation:

Remember this formula:

y2 - y1/x2-x1

Your two cordinates:

(-10,-8) and (-8,-16)

First do -16-(-8)

That should equal -8

Note: This is for the Y

Next do -8-(-10)

That should equal 2

Note: This is for the X

So now our slope is (2,-8)

If you want the simplest form:

Divide by (2,2)


So the answer shall be (1,-4).

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Step-by-step explanation:

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Soap films and bubbles are colorful because the interference conditions depend on the angle of illumination (which we aren't cov
mylen [45]

Answer:

56.39 nm

Step-by-step explanation:

In order to have constructive interference total optical path difference should be an integral number of wavelengths (crest and crest should be interfered). Therefore the constructive interference condition for soap film can be written as,

2t=(m+\frac{1}{2} ).\frac{\lambda}{n}

where λ is the wavelength of light and n is the refractive index of soap film, t is the thickness of the film, and m=0,1,2 ...

Please note that here we include an additional 1/2λ phase shift due to reflection from air-soap interface, because refractive index of latter is higher.

In order to have its longest constructive reflection at the red end (700 nm)

t_1=(m+\frac{1}{2} ).\frac{\lambda}{2.n}\\ \\ t_1=\frac{1}{2} .\frac{700}{(2)*(1.33)}\\ \\ t_1=131.58\ nm

Here we take m=0.

Similarly for the constructive reflection at the blue end (400 nm)

t_2=(m+\frac{1}{2} ).\frac{\lambda}{2.n}\\ \\ t_2=\frac{1}{2} .\frac{400}{(2)*(1.33)}\\ \\ t_2=75.19\ nm

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3 years ago
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xenn [34]

This question is not correctly written

Complete Question

The Henderson Hawks minor-league baseball team is giving away baseballs an

game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your

work or explain your reasoning.

Answer:

They should give away 100 balls and 100 towels

Step-by-step explanation:

Let the number of balls = x

Let the number of towels = y

x + y = 200........ Equation 1

y = 200 - x

$3 × x + $2 × y = $5000

3x + 2y = 5000...... Equation 2

3x + 2(200 - x)= 5000

3x + 400 - 2x = 5000

Collect like terms

3x - 2x = 500 - 400

x = 100

Number of balls to be given away = 100

Note:

y = 200 - x

y = 200 - 100

y = 100

Number of towels to be given away = 100

Therefore, they should give away 100 balls and 100 towels

3 0
3 years ago
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