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xz_007 [3.2K]
4 years ago
13

The sum of a rational number and an irrational number equals

Mathematics
1 answer:
Andreas93 [3]4 years ago
8 0
The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.
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Find the values for a and b that would make the equality true.
Crank

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on the right side.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b

Comparing like terms with - 6x² + 12x - 15

x - term → - 3a = 12 ( divide both sides by - 3 )

                    a = - 4

constant term → - 3b = - 15 ( divide both sides by - 3 )

                               b = 5

6 0
3 years ago
The length of each side of a square is 6 feet more than the length of a side of a regular Octagon. The perimeter of the square i
goldfiish [28.3K]

9514 1404 393

Answer:

  • square: 12 ft sides
  • octagon: 6 ft sides

Step-by-step explanation:

This problem can be worked in your head.

If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.

__

We can let s represent the side length of the octagon. Then we have ...

  8s = perimeter of octagon

  4(s +6) = perimeter of square

These are equal, so ...

  4(s +6) = 8s

  s +6 = 2s . . . . . . divide by 4

  6 = s . . . . . . . . . . subtract s

The octagon has 6-ft sides; the square has 12-ft sides.

8 0
3 years ago
the perimeter of a triangle is 38 ft . One side is 14 ft long . Another side is 9 ft long . How long is the third side ?
Aleks [24]
38 - (14+9) = 15ft long
4 0
4 years ago
100PT AND BRAINLIEST! PLEASE HELP! Use technology to approximate the solution(s) to the system of equations to the nearest tenth
N76 [4]

Answer:

C. (0.9, 0.3)

Explanation:

\rightarrow \sf  \dfrac{1}{4^{x}} = \log(2x)

The above given equation is critical to solve algebraically thus they have mentioned to solve it using a technology - graphing calculator.

<h3><u /></h3><h3><u>When graphed the following equations</u>:</h3>

They meet each other at: (0.9371, 0.2728)   \sf   \underset{ solution }{ \xrightarrow{ \text{ nearest tenth } } }  (0.9, 0.3)

8 0
2 years ago
Read 2 more answers
Help me with this problem
vova2212 [387]

Answer:

The answer is 180 - 65

Step-by-step explanation:

We got 180, because that is the number of degree's in a line

so 180 - 65 is 115 degrees, that's your answer :)

7 0
3 years ago
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