All categories

3 years ago

Provide the missing statement and reasons for the following proof: Given: 9(x+6)−41=75Prove: x=629

Mathematics

1 answer:

inn [45]3 years ago

5 0

The missing statement for the proof is;

Statement 3;S3 : 9x + 54 = 116

The missing reasons for the proofs are;

R1; Given

R2; Using Addition property of inequality

R3; Distributive property

R4; Using subtraction property of inequality

R5; Using Division property of inequality

The correct question can be found at brainly.com/question/25052574

We are given the equation;

9(x + 6) − 41 = 75

Step 2;

Using addition property of equality, we add 41 to both sides;

9(x + 6) - 41 + 41 = 75 + 41

9(x + 6) = 116

Step 3;

Using distributive property to distribute 6 over the items in the bracket to get;

9x + 54 = 116

Step 4; Using subtraction property of equality, we subtract 54 from both sides;

9x + 54 - 54 = 116 - 54

9x = 62

Step 5; Using division property of equality, we divide both sides by 9 to get;

9x/9 = 62/9

x = 62/9

Read more at; brainly.com/question/25052574

You might be interested in

Need help my answer is in blue

lana [24]

That is right points have no height width or any other value at all

6 0

4 years ago

the price opf a 3 pack of Spinners is one third the price of a dozen Fly Boys what is the price of a dozen Fly Boys?

miss Akunina [59]

You have to be more specific (what is the cost?)

7 0

4 years ago

A probable passes through (3,0) (-2,3) and (-1,4) what function does this represent

xenn [34]

Thought you'd want to know: If you're talking about parabolas, it's parabolas, not probables. ;)

The standard equation of a a quadratic is y = ax^2 + bx + c. We need to find the values of the coefficients a, b and c.

Taking the first point: When x=3, y=0, so write 0 = a(3)^2 + b(3) + c, or
0 = 9a + 3b + 1c

Do the same for points (-2,3) and (-1,4).

You will have obtained three linear equations in a, b and c:

3= a(-2)^2 + b(-2) + c, or 3 = 4a - 2b + 1c, also

4 = a(-1)^2 + b(-1) + 1c, or 1a - 1b + 1c.

I used matrix operations to solve this system. The results are:

a= -2/5, b= 1/5, c= 21/5

and so the function f(x) is f(x) = (-2/5)x^2 + (1/5)x + 21/5.

6 0

3 years ago

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3,

m_a_m_a [10]

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.

Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

$\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right]$

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

Learn more about the Cartesian coordinate plane here:

brainly.com/question/17877300

brainly.com/question/16177011

8 0

3 years ago

If a math problem asks you about how much something is for division , will the problem make you estimate?

postnew [5]

Answer:

Yes

I hope this answers your question!

Step-by-step explanation:

How do you estimate a division problem?

You can use multiplication to check your division answer this way.

1) Do the division problem.

2) Multiply the quotient times the divisor.

3) If there is a remainder, add it to the multiplication product.

4) Compare this answer to the dividend. They should be the same number (630 = 630).

8 0

3 years ago