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RSB [31]
3 years ago
7

What is the equation of the line in point-slope form that has a slope of -3 and passes through the point (5, 9)?

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0

Answer:

y-9=-3(x-5)

Step-by-step explanation:

The equation of the line in point-slope form is given as

y-y_1=m(x-x_1)

Here m=-3 and (x1, y1)=(5, 9)

Therefore,

y-9=-3(x-5)

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The sum of a number (n) and 14 is 72. Which equation shows this relationship
NemiM [27]
I believe the answer is N+14=72
6 0
3 years ago
Read 2 more answers
Solve the following System of Three Equations:<br> x−3y+z=−15<br> 2x+y−z=−2<br> x+y+2z=1
SashulF [63]

Answer:

x = -3 , y = 4 , z = 0

Step-by-step explanation:

Solve the following system:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for z:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Solve for z.

Subtract x - 3 y from both sides:

{z = 3 y + (-x - 15)

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Perform a substitution.

Substitute z = -15 - x + 3 y into the second and third equations:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

x + y + 2 (-15 - x + 3 y) = 1

Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.

x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Isolate terms with x to the left hand side.

Subtract 15 - 2 y from both sides:

{z = -15 - x + 3 y

3 x = 2 y - 17

-30 - x + 7 y = 1

Hint: | Solve for x.

Divide both sides by 3:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

-30 - x + 7 y = 1

Hint: | Perform a substitution.

Substitute x = (2 y)/3 - 17/3 into the third equation:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for y:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Isolate terms with y to the left hand side.

Add 73/3 to both sides:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 = 76/3

Hint: | Solve for y.

Multiply both sides by 3/19:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

y = 4

Hint: | Perform a back substitution.

Substitute y = 4 into the first and second equations:

{z = -x - 3

x = -3

y = 4

Hint: | Perform a back substitution.

Substitute x = -3 into the first equation:

{z = 0

x = -3

y = 4

Hint: | Sort results.

Collect results in alphabetical order:

Answer:  {x = -3 , y = 4 , z = 0

4 0
3 years ago
1. What is the circumference of the given circle in terms of pi? radius= 14 in.
rusak2 [61]

Answer:

1. B     2. B

Step-by-step explanation:

1. The formula for circumference is C= pi times diameter

Radius is half of diameter, so you'd multiply 14 times 2 which gives you 28. Since it's asking for it in pi, it'll be 28 pi.

2. I think instead of circumference, it's asking for area because if it was asking for circumference the answer would have been 6.6 pi, but that answer isn't there. So if it's asking for area, the formula is A= pi(r²) They gave the diameter instead. Remember, the radius is half of the diameter, so in order to get the radius, you'd divide 6.6 by 2 and get 3.3. Then, multiply 3.3 with the number itself, and you'll get 10.89.

Hope this helps!

5 0
3 years ago
Kevin's monthly bank statement showed the following deposits and withdrawals:
stepan [7]

Answer:

$33.64

Step-by-step explanation:

That's the outcome of the math

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3 years ago
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pickupchik [31]

Answer:

21

Step-by-step explanation:

simply

<em>the square represents 90 degrees and 90 - 61 is 21</em>

4 0
2 years ago
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