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lions [1.4K]
3 years ago
9

the slope of the line below is -4 write a point-slope equation of the line using the coordinates of the labeled point

Mathematics
2 answers:
Alik [6]3 years ago
8 0

Answer:

y+9=-4(x-4)

Step-by-step explanation:

Point-slope is the equation y-y1=m(x-x1), where y1 is your y-coordinate and x1 is your x-coordinate.

Lady bird [3.3K]3 years ago
6 0

Answer:

y+9=-4(x-4)

Step-by-step explanation:

Linear equations can take various forms, such as:

  • <em>Point–slope form</em>
  • <em>Two-point form</em>
  • <em>Slope–intercept form</em>
  • <em>Intercept form</em>
  • <em>Standard form</em>

<em></em>

The point-slope form of a linear equation is written as:

y-y_1=m(x-x_1)

Where:

m=Slope\\x_1,y_1=Coordinates\hspace{3}of\hspace{3} any\hspace{3} point\hspace{3} of \hspace{3}the\hspace{3} line

So, according to the data provided:

m=-4\\x_1=4\\y_1=-9

Replacing the data into the point-slope equation:

y-y_1=m(x-x_1)\\\\y-(-9)=-4(x-4)\\\\y+9=-4(x-4)

Therefore, the equation for the graph shown is:

y+9=-4(x-4)

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Given:

The value is:

\sin^{-1}(0.391)

To find:

The smallest positive degree angle measure equivalent to \sin^{-1}(0.391).

Solution:

We have,

\sin^{-1}(0.391)

Using the scientific calculator, we get

\sin^{-1}(0.391)=23.0167366398^\circ

\sin^{-1}(0.391)\approx 23^\circ

Therefore, the smallest positive degree angle measure equivalent to \sin^{-1}(0.391) is 23 degrees.

5 0
2 years ago
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Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22. (Past studies have revealed that onl
Alex17521 [72]

Answer:

B. no, it is not low enough

A. no, it is not low enough

Step-by-step explanation:

Given that Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22.

Prob for  a random person booked arrive for flight = 0.86

No of persons who books and arrive for flight, X is binomial, since there are two outcomes and each person is independent of the other

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= P(X=23)+P(x=24)

= 0.1315

B. no, it is not low enough

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The prob we got is >10% also

A. no, it is not low enough

7 0
3 years ago
Which statement explains the type of function that is represented by the equation
eduard

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C

Step-by-step explanation:

The function has a variable that will make the graph curve up.

3 0
2 years ago
Solve for X<br> 6x+60x+150=0
hammer [34]

Answer:

<h2><u><em>x = -2.27272727273</em></u></h2><h2><u><em>in fraction</em></u></h2><h2><u><em>x = -25/11</em></u></h2>

<u><em></em></u>

Step-by-step explanation:

Solve for X

6x+60x+150=0

66x = -150

x = -150 : 66

<u><em>x = -2.27272727273</em></u>

<u><em>in fraction</em></u>

<u><em>x = -25/11</em></u>

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1 year ago
In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a
Nady [450]

Answer:

a. 19.68 miles per gallon.

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Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

 z=\frac{X-\mu}{\sigma}

In a normal distribution, the 25th percentile  (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile  has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

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19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

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26.32 miles per gallon.

5 0
3 years ago
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