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mafiozo [28]
3 years ago
14

c{1}{3}(6x + 9) = x - 5" alt=" \frac{1}{3}(6x + 9) = x - 5" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0
The answer is  1/3(6x-9)=x-5 

One solution was found :

                   x = -2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     1/3*(6*x-9)-(x-5)=0 

Step by step solution :

Step  1  :

1 Simplify — 3

Equation at the end of step  1  :

1 (— • (6x - 9)) - (x - 5) = 0 3

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   6x - 9  =   3 • (2x - 3) 

Equation at the end of step  3  :

(2x - 3) - (x - 5) = 0

Step  4  :

Equation at the end of step  4  :

x + 2 = 0

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    x+2 = 0 

 Subtract  2  from both sides of the equation : 
                      x = -2 

One solution was found :

                   x = -2
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Answer:

100 degrees

Step-by-step explanation:

Angle on a straight line = 180

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3 years ago
A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?
Dmitry [639]

Answer:

The correct answer is option A.  90°

Step-by-step explanation:

<u>Points to remember</u>

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes  on it.

<u>To find the measure of <XYZ</u>

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

3 0
3 years ago
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Find the slope of a line that goes through the<br> points (2, 8) and (6,-2).
levacccp [35]

Answer:

-5/2

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-2 - 8)/(6 - 2) = -10/4 = -5/2

so y = mx + b

y = -5/2x + b

Using (2,8)

8 = -5/2(2) + b

8 = -5 + b

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4 0
3 years ago
As a point moves in the positive x-direction along the line graphed, what is the rate of change of y with respect to x?
tatyana61 [14]

Answer:

B. 3/4

Step-by-step explanation:

Care with these types of graphs as the values are 2 rather than one on each axis.

Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use \frac{RISE}{RUN} .

To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.

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3 years ago
Hey can you please help me posted picture of question :)
ladessa [460]
The graph is touching the x-axis at x= 2 and is turning away.

When a graph exhibit such a behavior at a root, we say that the multiplicity of the root is 2. So the roots of the polynomial are x = 2 and x = 2. The factors of the polynomial are (x - 2) and (x - 2)

The polynomial thus can be written as product of its factors as (x-2)(x-2)

So the correct answer to this question is option B
7 0
4 years ago
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