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Gnoma [55]
3 years ago
10

PLEASE HELP MEEE WILL GIVE BRAINLIEST!!!!

Mathematics
1 answer:
just olya [345]3 years ago
3 0

                                                           Part A)

Given

  • Slope m = 6
  • Point (7, 2)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = 6
  • (x₁, y₁) = (7, 2)

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 2 = 6(x-7)

Therefore, the equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

y - 2 = 6(x-7)

                                                        Part B)

Given

  • Slope m = -3
  • Point (3, 8)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = -3
  • (x₁, y₁) = (3, 8)

substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 8 = -3(x-3)

Therefore, the equation in​ point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:

y - 8 = -3(x-3)        

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Answer:

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Step-by-step explanation:

We know that a^ -b is equal to 1 / a^b

That means

4^-2 = 1/ 4^2  = 1/16

8 0
4 years ago
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Answer:

Difference between average day temperature and average night temperature = 70°

Step-by-step explanation:

Given;

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Average night temperature = -30° C

Find:

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Computation:

Difference between average day temperature and average night temperature = Average day temperature - Average night temperature

Difference between average day temperature and average night temperature = 43 - (-30)

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7 0
3 years ago
you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
Colt1911 [192]
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------------- = -----------
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Then (1/4)($8) = ($5)x, or x = ---------------   (that's 2/5 of a whole pizza).
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5 0
3 years ago
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re
ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which \theta is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = 2\pi radians

So, the change in angle with respect to t ( time ),

\frac{d\theta}{dt}=8\pi\text{ radians per min}

Let x be the distance of beam from P,

\implies \tan \theta = \frac{x}{2}

Differentiating with respect to x,

\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}

(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}

(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}

If x = 1 km,

(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}

\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}

\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}

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7 0
4 years ago
How would you find an interquartile range with just numbers?
Stolb23 [73]

Answer:

IQR is 3.5

Step-by-step explanation:

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3.5-0=3.5

Therefore, the IQR is 3.5

8 0
3 years ago
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