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Ivan
3 years ago
6

6x +12 - 3x = 70 Plz step by step

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
5 0

6x +12 - 3x = 70

6x-3x+12= 70

3x+12= 70

move +12 to the other side

sign changes from +12 to -12

3x+12-12=70-12

3x= 58

divide by 3 for both sides

3x/3=58/3

x=58/3 or x=19 1/3

Answer: x=58/3 or x=19 1/3

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The parallelogram shown below has an area of 15 squared. Find the missing height. h=? units
denis-greek [22]

Answer:

5 units

Step-by-step explanation:

The area of a parallelogram is given by the formula:

A=bh

Where b is the base and h is the height.

So we know that the area is 15. We can also see that the base is 3. Thus:

15=3h

Divide both sides by 3:

h=5

So, the height is 5 units.

6 0
3 years ago
Read 2 more answers
What is the number of ways to arrange 6 objects from a set of 10 different objects? A. 520. B. 78,400. C. 210. D. 151,200
lorasvet [3.4K]
The correct answer in this question is option D. There are 151,200 ways to arrange six objects from a set of ten different objects. To solve this, the permutation formula is used. This type of equation is utilized for ordered arrangements.

10!/(10-6)! = 3,628,800/24

= 151,200
5 0
3 years ago
Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is
andrew11 [14]

The correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Further explanation:

The given equation of circle is:

x^2+y^2+6x+4y-3 = 0

In order to complete the square the terms have to be combined first

x^2+y^2+6x+4y = 3\\x^2+6x+y^2+4y=3\\(x^2+6x)+(y^2+4y) = 3

9 and 4 will be added to both sides of the equation to complete the square

(x^2+6x+9)+(y^2+4y+4) = 3+9+4\\(x^2+6x+9)+(y^2+4y+4) = 16

The next step completes the work

(x+3)^2+(y+2)^2 = (4)^2\\

Comparing with the standard form of circle

(x-h)^2 + (y-k)^2 = r^2\\x - h = x+3\\h=-3\\y-k = y+2\\k = -2

As the centre is (h,k), the centre of given circle will be:

(-3,-2)

Hence the correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Keywords: Circle, Equation of Circle

Learn more about equations of circles at:

  • brainly.com/question/3055705
  • brainly.com/question/3333996
  • brainly.com/question/3456442

#LearnwithBrainly

4 0
3 years ago
Is -6 a real, complex, pure imaginary or nonreal complex
Alex17521 [72]
Non real complex...........
3 0
3 years ago
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Please I really need help with this
Delvig [45]

Answer:

Step-by-step explanation:

㏒ 3+㏒(x+2)=1

㏒3(x+2)=1

3(x+2)=10^1

3x+6=10

3x=10-6=4

x=4/3

so A

3.

log_{2}x+log_{2}(x+2)=3\\or~log_{2}[x(x+2)]=3\\x(x+2)=2^3\\x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x+4)(x-2)=0\\x=2,-4\\x=-4 ~is~an~extraneous~solution.\\B

6 0
3 years ago
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