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diamong [38]
3 years ago
7

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

Mathematics
2 answers:
777dan777 [17]3 years ago
7 0
<span>x^2 + 12x + 36 = (x +6)^2

answer
36</span>
Kipish [7]3 years ago
4 0
X^2+12x=0
(ax^2+bx)=0
(b/2)^2=(12/2)^2=(6)^2=36
x^2+12x+36=(x+6)^2
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Solve 7e^(2x)-5&gt;58. Round to the nearest hundredth.
7nadin3 [17]

Answer:

x\gtrapprox1.1

Step-by-step explanation:

7e^{2x}-5>58

7e^{2x}>63

e^{2x}>9

2x>ln(9)

x>\frac{ln(9)}{2}

x\gtrapprox1.1

5 0
2 years ago
The figure below is a right rectangular prism with
svlad2 [7]

Answer:

The area of the base of the rectangular prism is:

  • <u>18 square centimeters</u>.

The height of the rectangular prism is:

  • <u>6 centimeters</u>.

The volume of the rectangular prism is:

  • <u>108 cubic centimeters</u>.

Step-by-step explanation:

To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:

  • Area of a rectangle = base * height.

Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:

  • Area of a rectangle = 9 cm * 2 cm
  • <u>Area of a rectangle = 18 cm^2 </u>

Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:

  • <u>Prism height = 6 cm </u>

Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:

  • Volume = area * height.
  • Volume = 18 cm^2 * 6 cm
  • <u>Volume = 108 cm^3</u>
6 0
3 years ago
2-[6÷2+{6×1/2+(7/2-3/2)}]​
professor190 [17]

Answer:

-6

Step-by-step explanation:

2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =

Follow the correct order of operations.

Do one step at a time and copy everything else each time, so you don't lose track of any operation.

= ​2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]

= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]

= 2 - [6 ÷ 2 + {3 + 2}]

= 2 - [6 ÷ 2 + 5]

= 2 - [3 + 5]

= 2 - 8

= -6

5 0
3 years ago
Read 2 more answers
you get a 1 dollar coupon for every 3 salads you buy. What is the least number of salads you could buy to get 10 dollars in coup
miskamm [114]

Answer:

30 salads.

Step-by-step explanation:

If you can get a dollar coupon for 3 salads

You can just multiply it by 10 to get ten dollars for 30 salads

6 0
3 years ago
Which system of inequalities has a solution set that is a line?
Korolek [52]

We're going to solve each of the systems to determine the solution.

<u>System 1</u>

x+y \geq  3\\ x+y \leq  3

using a graph tool

the solution is the line x+y=3

see the attached figure N 1

<u>System 2</u>

x+y \geq  -3\\ x+y \leq  3

using a graph tool

the solution is the shaded area

see the attached figure N 2

<u>System 3</u>

x+y >  3\\ x+y <  3

using a graph tool

The system has no solution

see the attached figure N 3

<u>System 4</u>

x+y >  -3\\ x+y <  3

using a graph tool

the solution is the shaded area

see the attached figure N 4

therefore

<u>the answer is</u>

<u>System 1</u>

x+y \geq  3\\ x+y \leq  3



7 0
3 years ago
Read 2 more answers
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