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6 months ago

Determine the equation of the line that is parallel to the given line, through the given point

Mathematics

1 answer:

bixtya [17]6 months ago

8 0

The equation of the line that is parallel to the given line, through the given point is y = -5x - 7

Given equation,

y = -5x + 1

Slope = m

= -5

For two lines to be parallel, slope is equal.

Therefore, m = -5 for another line.

Let the equation of the line be y = mx + c

This line passes through A(-2,3)

Therefore, 3 = -5(-2) + c

3 = 10 + c

c = 3 - 10

= -7

Hence, equation of line is y = -5x - 7.

To learn more about equation of the line here:

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Find the volume of each question in the picture:

Kisachek [45]

Answer:

21.V=1746.1

22.V=1922.7

23.V=54.4

Step-by-step explanation:

V=h*w*l V=pir^2*h

V=12*8*14 . V=pi*4^2*8

V=1344 . V=402.1

V1+V2=1344+402.1=1746.1

V=pi*r^2*h V=2/3*pi*r^3

V=pi*6^2*13 V=2/3*pi*6^3

V=pi*36*13 V=2/3*pi*216

V=1470.3 V=452.4

V1+V2=1470.3+452.4=1922.7

V=1/3pi*r^2*h V=1/3pi*r^2*h

V=1/3pi*2^2*6 V=1/3pi*2^2*7

V=8pi V=28/3pi

V=25.1 . V=29.3

V1+V2=25.1+29.3=54.4

8 0

2 years ago

647-574 I need help with carrying numbers

forsale [732]

Answer:

Step-by-step explanation:

647 - 574

1.) subtract 7 -4 and you get 3 in the ones place.

2.) next you have to do 4 -7 and you can't do that so you take one from the hundreds place and turn the 6 into a 5.

3. make the 4 a 14 and then subtract 14-7 and you get 7 in the tens place

4.) you are then left with 5-5 in the hundreds place which is 0 so your answer is 73

3 0

1 year ago

Is 301 in the sequence below?<br> -9, -5,-1,3,7,...

dusya [7]

Answer:

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

$a_{n}$ = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

3 0

2 years ago

Which is bigger 0.25 or 0.6

AlladinOne [14]

The correct answer is 0.6 :)

5 0

3 years ago

Read 2 more answers

3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third

den301095 [7]

Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

$2x + 3(x + 2) = 2(x + 4) + 55$

$= > 2x + 3x + 6 = 2x + 8 + 55$

Eliminating 2x from both the sides,

$= > 3x + 6 = 63$

$= > 3x = 63 - 6 = 57$

$= > x = \frac{57}{3} = 19$

So, the consecutive odd integers are = 19 , 21 & 23.

3 0

1 year ago