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AnnZ [28]
2 years ago
9

2. Perpendicular to y=1/3X-5 and goes through the point (3, -5)

Mathematics
1 answer:
Rudiy272 years ago
6 0

Answer:

Step-by-step explanation:

To be perpendicular the product of the two slopes is equal to negative one.

m1(m2)=-1, in this case the slope of the reference line is 1/3 so the other line will have a slope

m/3=-1

m=-3 so our perpendicular line is

y=-3x+b, using point (3,-5) we can solve for the y intercept b

-5=-3(3)+b

-5=-9+b

b=4 so the completed perpendicular line passing through point (3,-5) is

y=-3x+4

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Answer:

Essentially by the definition of  

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Step-by-step explanation:

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8 0
2 years ago
When writing numbers in base 10, we only allow coefficients of 0 through 9. Why is that?​
Margaret [11]

Answer:

Because 0 counts as the first possible number. 0-9 gives you 10 possible numbers.

Step-by-step explanation:

7 0
2 years ago
Suppose corn chips cost 28.5 cents per ounce. If a bag costs $3.75, how many ounces are in the bag of chips? Round to the neares
ki77a [65]
13.16oz are in the bag because $3.75÷$0.285 is 13.16oz
7 0
3 years ago
Read 2 more answers
The least-squares regression line is_____________. A. the line that passes through the most data points.B. the line that makes t
Elanso [62]

Answer:

<h3>The option B) is correct.</h3><h3>That is the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible is correct answer</h3>

Step-by-step explanation:

Given that " The least-squares regression line "

The least-squares regression line is <u>the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.</u>

Therefore option B) is correct

3 0
3 years ago
The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively
Karolina [17]

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

<u><em>The complete question is</em></u>

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

<u><em>Verify each statement</em></u>

1) AG = 4

we know that

AG=AC-GC

AC=32\2=16\ cm ----> radius of circle A

GC=24/2=12\ cm ----> radius of circle C

substitute

AG=16-12=4\ cm

therefore

The statement is true

2) GC = 10

we know that

GC=24/2=12\ cm ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

AH=AC+CH

we have

AC=16\ cm ----> radius of circle A

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

AH=16+5=21\ cm

therefore

The statement is true

4) EC = 12

we know that

EC=24/2=12\ cm ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

EH=14/2=7\ cm ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

therefore

The statement is true

7) HE = 7

we know that

HE=14/2=7\ cm ----> radius of circle E

therefore

The statement is true

3 0
3 years ago
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