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wolverine [178]
3 years ago
9

Graph the line with slope 2/3 passing through the point (-3,-3)

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equation of given line is ~

  • y =  \dfrac{2}{3}  x - 1

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's use the point slope form of line to find the equation of given line ~

that is ~

  • y  - y_1= m(x - x_1)

  • y - ( - 3) =  \dfrac{2}{3} (x - ( - 3))

  • y + 3 =  \dfrac{2}{3} (x + 3)

  • y + 3 =  \dfrac{2}{3} x + 2

  • y  =  \dfrac{2}{3} x + 2 - 3

  • y =  \dfrac{2}{3}  x - 1
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Answer:

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Step-by-step explanation:

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3 years ago
What is the solution of the equation 17 = 3x − 4?
pogonyaev

Answer:

<em>x = 7</em>

Step-by-step explanation:

Simplifying

17 = 3X + -4

Reorder the terms:

17 = -4 + 3X

Solving

17 = -4 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

17 + -3X = -4 + 3X + -3X

Combine like terms: 3X + -3X = 0

17 + -3X = -4 + 0

17 + -3X = -4

Add '-17' to each side of the equation.

17 + -17 + -3X = -4 + -17

Combine like terms: 17 + -17 = 0

0 + -3X = -4 + -17

-3X = -4 + -17

Combine like terms: -4 + -17 = -21

-3X = -21

Divide each side by '-3'.

X = 7

Simplifying

X = 7

3 0
3 years ago
Read 2 more answers
Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25
IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

5 0
3 years ago
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lana66690 [7]
Take out the gcf (5).

5(x+3)

The inner binomial cannot be factored.

Final answer: 5(x+3)
6 0
3 years ago
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A car travels about 34 feet in one second. At this speed,
natta225 [31]

Answer:

C

Step-by-step explanation:

34 * 7= 238

34 feet per second, means that we have to mulitply 7 by 34.

Its really simple!

1 second: 34

7 seconds: ?

for example, if we needed 2 seconds we would muliplty by 2, 34 * 2 because we double it, the same way we would solve that, we would solve 34*7

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3 years ago
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