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ExtremeBDS [4]
3 years ago
10

Determine the solution set of (x - 4)2 = 12.

Mathematics
1 answer:
galben [10]3 years ago
3 0
(x-4)2=12
First, you want to divide both sides by 2 to eliminate the 2 outside of the parenthesis. That leaves you with:
(x-4)=6
Then add four to both sides to eliminate the four inside the parenthesis:
x=10

To check work, substitute ten in for x in the original equation:
(10-4)2=12
(6)2=12
12=12, so this is correct :)
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An expression is shown below:
ivann1987 [24]

Answer:

It is irrational and equal to 5 times the square root of 2.

Step-by-step explanation:

The statement that is true about the expression:

( √(32) ) + √2

( √(16 * 2) ) + √2

( √(4²) *√2 ) + √2

( 4 *√2 ) + √2

( √2+√2+√2+√2 ) + √2

...and this is ( 4 ) + 1 times √2

The answer is 5 times √2

So the expression is irrational and equal to 5 times the square root of 2.

4 0
3 years ago
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The size of a certain cell is2.5×10^-9m another cell is 1.5×10^3 times larger how large is the cell in scientific notation
Ludmilka [50]
The answer is  <span>2.5 × 10⁻⁹ × 1.5 × 10³ = 3.75 × 10⁻⁶ </span>
8 0
3 years ago
For each set of side listed determine if the given triangle is right triangle, obtuse or acute
nasty-shy [4]
Right triangle. You can tell because of the tiny square in the corner. This indicated that angle is equal to 90°. Any triangle that has 90° is a right triangle
3 0
3 years ago
WG-W Online Textboo
svetlana [45]

Answer:

  • We have two variables W and N
  • W= 35 L
  • N = 25L
  • Total: 60 hrs respectfully between W and N
  • Total Water: 1700 L
  • 35W + 25N = 1700 (1)
  • W + N = 60 (2)
  • Just substitute!
  • N = 60 + W
  • 35W + 25(60 + W) = 1700
  • 35 W + 1500 + 25W = 1700
  • 60W + 1500 = 1700
  • 60W = 200
  • W = 3.33
  • Now solve for N

6 0
3 years ago
If a rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet, solve for the length.
BlackZzzverrR [31]

Answer: (3)

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.

4 0
3 years ago
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