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34kurt
2 years ago
10

What is the slope of a line perpendicular to the line whose equation is

Mathematics
1 answer:
mezya [45]2 years ago
7 0

Answer:

The slope of the other line is -4/5

Step-by-step explanation:

In this question, we are asked to calculate the slope of a line which is perpendicular to the line ;

10x - 8y = -80

The first thing to do here is to write the equation in the standard form for a linear equation.

The standard form is y = mx + c where m refers to the slope and c refers to the y-intercept

Rewriting the equation we have;

8y-80 = 10x

8y = 10x + 80

Now divide the through by 8

We have;

y = 10x/8 + 10

Thus, comparing with y = mx + c , our m here is 10/8

Now for the two lines to be perpendicular, the product of their slope would be equals to -1

Let’s say the slopes are m1 and m2

mathematically m1m2 = -1

since m1 = 10/8

10m2/8 = -1

m2 = -8/10

m2 = -4/5

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The graph below shows a proportional relationship between y and x. What is the constant of proportionality, y/x?
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1,40

Step-by-step explanation:

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A violin student records the number of hours she spends practicing during each of nine consecutive weeks: 6.2 5.0 4.3 7.4 5.8 7.
spin [16.1K]

Answer:

A) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the first  quartile.

Correct we satisfy that 1.2 <1.7 the lower limit

Step-by-step explanation:

Assuming this complete question: A violin student records the number of hours she spends practicing during each of nine consecutive weeks:

6.2 5.0 4.3 7.4 5.8 7.2 8.4 1.2 6.3

For this case we need to sort the data first on increasing way and we got:

1.2, 4.3, 5.0, 5.8, 6.2, 6.3, 7.2, 7.4, 8.4

For this case we have 9 values the median would be on the 5 position:

Median = 6.2

The first quartile would be 5 since we analyze 1.2, 4.3, 5.0, 5.8, 6.2 and the middle point is 5.0

The third quartile would be 7.2 since we analyze 6.2, 6.3, 7.2, 7.4, 8.4 and the middle point is 7.2

Then the interquartile rnage would be:

IQR = Q_3 -Q_1= 7.2-5=2.2

And 1.5 IQR = 1.5*2.2=3.3

The lower limit on this case would be:

LL= Q_1 -1.5 IQR= 5-3.3=1.7

And our value is 1.2 is lower than the lower limit 1.7

Considering the smallest data value (1.2) and using the 1.5 × IQR rule, we would:

A) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the first  quartile.

Correct we satisfy that 1.2 <1.7 the lower limit

B) not classify the value 1.2 as an outlier, because it is not more than 1.5 × IQR below  the first quartile.

False 1.2 is more than 1.5 IQR below the first quartile

C) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the  median.

False, we analyze if is an outlier comparing with the Q1 or Q3 not with the median

D) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the  mean.

False we analyze if is an outlier comparing with the Q1 or Q3 not with the mean

5 0
3 years ago
Which input value produces the same output value for the two functions on the graph
Mademuasel [1]

Answer:

The input value is x=1

Step-by-step explanation:

we know that

The intersection point both graphs is the point that  produces the same output value for the two functions

Observing the graph

The intersection point is (1,1)

therefore

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3 0
3 years ago
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Answer: I don't know

Step-by-step explanation:

There are no choices. The question stated choose the polynomial which means it should have choices.

Correct me if I'm wrong though. Hope you won't be offended.

3 0
2 years ago
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