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guajiro [1.7K]
3 years ago
9

Determine whether each number is rational or irrational

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

1. irrational (it's pi. pi goes on forever.)

2. irrational (the ... shows that the number goes on forever.)

3. rational (it is a regular integer)

4. rational (it would be negative 3, an integer.)

5. real, irrational (square root 6 goes on forever, like every non-perfect square root)

6. real, rational, integer, natural, whole (regular counting number)

7. real, rational, integer, natural, whole (regular counting number, 4)

8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)

brainliest is very much appreciated!

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Blizzard [7]

The value of x is 2 and the length of JK is 4

<h3>How to solve the unknown variables?</h3>

The given parameters from the circle are:

  • Center = Point S
  • Segment JK = 8
  • Segment LK = 2x + 4
  • Congruent SN = SP = 7

The lines SR and SQ are the radii of the circle P

This means that lines JK and JL are congruent

So, we have:

JK = KL

Substitute LK = 2x + 4 and JK = 4

4 = 2x + 4

Rewrite the above equation as:

2x + 4 = 8

Subtract 4 from both sides

2x + 4 - 4 = 8 - 4

Evaluate the difference

2x = 4

Divide both sides by 2

2x = 4/2

This gives

x = 2

Substitute x = 2 in LK = 2x + 4

LK = 2*2 + 4

Evaluate the product of 2 and 2

LK = 4 + 4

This gives

LK = 8

The point N divides JK into 2 equal segments

So, we have

JN = JK/2

JN= 8/2

JN = 4

Hence, the value of x is 2 and the length of JK is 4

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5 0
2 years ago
Tina is attempting to factor the expression 10x^2-13-3. In her first step, she rewrites the expression as 10x^2-10x-3x-3. Which
Setler79 [48]

ANSWER

B. The two middle coefficients add to the correct number but do not multiply to the correct number.

EXPLANATION

The given quadratic trinomial that Tina tries to factor is

10 {x}^{2}  - 13x - 3

Comparing to

a{x}^{2}  + bx  + c

we have a=10, b=-13 and c=-3

ac=-3×10=-30

We split the middle term so that their sum is -13.

Tina use

-10,-3

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-10x-3x

The sum is -13x alright but the product is not -30.

B is correct.

8 0
3 years ago
2/3x+4=3/5x-2? What’s the formula? Step by step? How do u do this?
Talja [164]

-90

Step-by-step explanation:

2/3x+4=3/5x-2

2/3x – 3/5x = -2 – 4

LCM for 5 & 3 is 15 so we can use it on the two fractions;

10/15x – 9/15x = 1/15 x

1/15x = -6

x = - 6 * 15

x = -90

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6 0
3 years ago
Sam solved the proportion
drek231 [11]

Answer:

A. Step One

B. She multiplied straight across in the proportion instead of diagonally

Step-by-step explanation:

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