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Kryger [21]
3 years ago
10

6 A U 3 3 1 2 3 What is the equation of the line in slope-intercept form? The equation of the line is​

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

y = -\frac{5}{4} x+5

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points.  Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of those points into it, then simplify:

m =\frac{0-5}{4-0} \\m = \frac{-5}{4}

So, the slope is -\frac{5}{4}.

2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for m and b in the slope-intercept formula, y = mx + b, to write the equation of the line. Since m represents the slope, substitute -\frac{5}{4} for it. Since b represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

y = -\frac{5}{4} x+5

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23 is the constant rate of change..............
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Find the value of the expression. 7! ÷ 3! 5,040 5,034 840 24
koban [17]
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5! = 5*4*3*2*1.

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7! = 7*6*5*4*3*2*1

Then:  

 7!         7*6*5*4*3*2*1       7*6*5*4         5040
----- = ----------------------- = ------------- = ----------- = 5040 (answer) 
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3 0
3 years ago
Calculate the angle of depression, x, if the boat is 850 ft. away from the lighthouse and the lighthouse is 250 ft. high. Round
trapecia [35]

Firstly , we can draw diagram

we can see that

adjacent = 850

opposite =250

so, we can use tan formula

tan(x)=\frac{250}{850}

x=tan^{-1}(\frac{250}{850})

16.38

x=16.38

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angle of depression is 16.38 degree........Answer

6 0
4 years ago
What is a positive angle less than 360 degrees that is conterminal with -289 degrees
wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
  • When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
  • To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0
3 years ago
If Michael and Imani add 18% tip to the bill what does their lunch cost in total
Musya8 [376]

Answer:

X + (0.18 * X)  

where X is the price of the bill without the tip

Step-by-step explanation:

The first thing you have to do is convert the percentage to a decimal value. For example, if it is 30%, its decimal value is 0.30. As simple as dividing that 300 by 100. Repeat the previous step with all the percentages you have to add.

In this case it is 18% therefore the decimal value will be 0.18. As we do not have the value of the account, we will call this value X .

Therefore the total price of the account, that is, with the addition of the tip is as follows:

X + 18% de X =

X + (0.18 + X)

7 0
3 years ago
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