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Oksi-84 [34.3K]
3 years ago
11

Graph ​y+6=45(x+3)​ using the point and slope given in the equation. Use the line tool and select two points on the line.

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

We are given the equation y+6 = 45(x+3).

On simplifying the equation we get,

y+6 = 45x + 45×3

i.e. y+6 = 45x + 135

i.e. y = 45x + 129.

Now, x = 0 gives y = 129 and y = 0 gives x = -2.867.

The general form of a straight line is given by y = mx + c, where m is the slope and c is the y-intercept.

So, on comparing, the slope of given equation is m = 45.

Plotting this straight line y = 45x + 129 on the graph gives the following figure.

The two points selected on the graph are (0,129) and (-2.867,0).

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(x - 2)(x² + 2x + 4) = 0​
Ber [7]

We have to find the value of x from the given equation.

  • (x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.

Step: Write the equation in simplest form.

  • (x - 2)(x² - 2x + 1) = 0

Step: Solve the problem by spiltting method.

  • (x-2)(x² - x -x + 1) = 0
  • (x - 2)(x²-x - x + 1) = 0
  • (x - 2) [x(x - 1) -1(x -1)]
  • (x - 2)[(x-1)(x-1)]

Step: Solve the problem with using algebraic formula.

{x-1](x-1)

Step : We have used a²-b² to solve the problem.

(x-2)(x² - x -x + 1) = 0

(x - 2)(x²-x - x + 1) = 0

(x - 2) [x(x - 1) -1(x -1)]

(x - 2)[(x-1)(x-1)]

Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].

4 0
3 years ago
Solve for x<br> -3(x + 4) - 2 = -2(x - 5)<br> x= -4<br> x = -11/5<br> x = 24<br> x = -24
Gala2k [10]

Answer:

-24

Step-by-step explanation:

-3 (x + 4) - 2 = -2 (x - 5)

-3x - 12 - 2 = -2x + 10

-3x + 2x = 10 + 12 + 2

-x = 24

x = -24

5 0
3 years ago
FOR 90 POINTS PLEASE HELP
miskamm [114]

Answer:

Question 1: RS=47

Question 2: x=6

Step-by-step explanation:

Question 1:

Step 1: 3x+5=2x+15+6x-37

Step 2: 3x+5=8x-22/2

Step 3: 3x+5=4x-11

Step 4: x=16

Step 5: 2(16)+15=32+15=47

<u>RS= 47</u>

<u />

Question 2:

Step 1: 7x+2+25x-14=180

Step 2: 32x-12=180

Step 3: 32x=192  (divide 32 from each side)

<u>x=6</u>

<u />

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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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