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Lena [83]
3 years ago
10

Write an equation of the line that is perpendicular to 5x+20y=10 and passes through the point (8,3)

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0
Y = 32x - 29

You can get this by solving for slope intercept form and then taking the opposite and recipricol of the slope. Solve the rest using point-slope form. 
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Find the distance that the points is given on the graph ?
EleoNora [17]

From the graph, the given points are (2,-1) and (4,0). Use the distance between two points formula:

\large \boxed{ \sqrt{ {(x_2 - x_1)}^{2} +  {(y_2 - y_1)}^{2} } }

Substitute these points in the formula.

\large{ \sqrt{ {(2 - 4)}^{2}  +  {( - 1 - 0)}^{2} } } \\  \large{ \sqrt{ {( - 2)}^{2} +  {( - 1)}^{2}  } }  \\  \large{ \sqrt{4 + 1} \longrightarrow  \sqrt{5}  }

Hence, the distance is √5

Answer

  • √5

7 0
3 years ago
The scale on a map is 1cm=20miles.if two airports are 4cm apart on the map, what's the distance between the airports?
Stels [109]
80 miles because if 1=20 then 2=40 3=60 4=80
8 0
3 years ago
Eight more than three times the difference of four and a number” when n = 3?
Snezhnost [94]
8 + 3 (4 - n )
n= 3 
8 + 3( 4-3)
8 + 3 * 1 
8 + 3 = 11
8 0
3 years ago
Explain how you would round the numbers 33 and 89 to estmate their sum
ValentinkaMS [17]
Well 33 is rounded down to 30

And 89 is rounded up to 90

So it would be 120

Anything from 1-4 is rounded down and anything 5-9 is rounded up
8 0
3 years ago
Read 2 more answers
/viewform?hr submission=Chclk4feKBIQ.
Gennadij [26K]

Answer:

c) .22

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 2.5, n = 500

Then

M = z*\frac{\sigma}{\sqrt{n}}

M = 1.96*\frac{2.5}{\sqrt{500}}

M = 0.22

5 0
3 years ago
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