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wolverine [178]
3 years ago
5

What is the value of x in the following equation? 5x + 12 = 6(x + 1) A. 6 B. 5 C. 24 D. 7

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

Answer:

A: 6

Step-by-step explanation:

Our equation is 5x+12=6(x+1)

Our possible numbers are 6, 5, 24, or 7.

To figure this out you start putting the possible numbers in place of x so we'll start off using 6:

5*6+12=6(6+1).

5*6=30. 30+12=42. 6+1=7, 6*7=42.

This equals the same on both sides.

Next we'll go to 5:

5*5+12=6(5+1)

5*5=25, 25+12=37. 5+1=6, 6*6=36.

This doesn't equal the same amount on both sides.

Next is 24:

5*24+12=6(24+1)

5*24=120, 120+12=132. 24+1=25, 6*25=150

This doesn't equal the same amount.

Next is 7:

5*7+12=6(7+1)

5*7=35, 35+12=47. 7+1=8, 6*8=48.

This doesn't equal.

The only number that equals the same amount on both sides is A:6

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Ira Lisetskai [31]
Sorry but where is the question
8 0
2 years ago
Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
lorasvet [3.4K]

Answer:

equation;

(x + 4) {}^{2}  + (y - 2) {}^{2}  = 27

Center (-4,2)

Radius is

3 \sqrt{3}

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

(x - h) {}^{2}  + (y - k)  {}^{2}  =  {r}^{2}

Where (h,k) is center

r is the radius

So first we group like Terms together

{x}^{2}  + 8x  +  {y}^{2}  - 4y - 7 = 0

Add 7 to both sides

{x}^{2}  + 8x +  {y}^{2}  - 4y = 7

( {x}^{2}  + 8x) +(  {y}^{2}  - 4y) = 7

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

(\frac{8}{2} ) {}^{2}  = 16

and

( - \frac{4}{2} ) {}^{2}  = 4

so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

(x + 4) {}^{2}  +  (y  - 2) {}^{2}  = 27

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\sqrt{27}  = 3 \sqrt{3}

So the radius is 3 times sqr root of 3.

8 0
2 years ago
No links or weird answers, please :(<br> Are all of these graphs functions? Explain why or why not.
finlep [7]
The only grab function is 2 because 1 and 3 don’t even make sense it’s not a negative slope, positive slope, undefined slope, or zero slope therefore it’s nothing.
6 0
3 years ago
Can someone help me with this please
stellarik [79]

Ok so we'll  go ahead and solve for y first -  we just need to get it alone on one side of the equal sign

Step 1: subtract 2x from each side

2x - 7y - 2x = 19 - 2x

This cancels out the 2x on the left, giving us

-7y = 19 - 2x

Step 2: divide both sides by -7

\frac{-7y}{-7} = \frac{19}{-7} + \frac{-2x}{-7}

This gives us

y = -19/7 + 2x/7

That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.

When x = -3

y = -19/7 + 2x/7

y = -19/7 + 2(-3)/7

y = -19/7 - 6/7

y = -25/7


When x = 0

y = -19/7 + 2x/7

y = -19/7 + 2(0)/7

y = -19/7


When x = 3

y = -19/7 + 2x/7

y = -19/7 + 2(3)/7

y = -19/7 + 6/7

y = -13/7


Hope that helps! Feel free to ask if I can help with anything else :)

7 0
2 years ago
What is 36÷2/3×9×1/2
krok68 [10]

Answer:

1/3

Step-by-step explanation:

Simplify the following:

((36/2)/(3×9))/2

((36/2)/(3×9))/2 = 36/(3×9×2×2):

36/(3×9×2×2)

36/9 = (9×4)/9 = 4:

4/(3×2×2)

4/2 = (2×2)/2 = 2:

2/(3×2)

2/(3×2) = 2/2×1/3 = 1/3:

Answer: 1/3

6 0
3 years ago
Read 2 more answers
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