Which number can be added to a rational number to explain that the sum of rational number and a irrational number is irrational?A) -8
B) 2 1/6
C) 5
D) 27

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

5

is correct.  5

cannot be expressed as a fraction. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero.

Answer 2
Answer: I am not sure this is right, but I would say A

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What number should both sides of the following equation be divided by to solve for x?(6.4)x = 32 4 6.4 6 5

Whats the answer to this in the picture?
2/3(3x-15y)+(9-11x)

Answers

(2)/(3) (3x-15y)+(9y-11x)

= 2(x-5y)+(9y-11x)

= 2x-10y+9y-11x

=-9x-y
A) -9x - y

3 * (2/3) = 2
-15 * (2/3) = -10

(2x - 10y) + (9y - 11x)

Combine like terms:
9y - 10y = -1y (or -y)
-11x + 2x = -9x
A) -9x - y

I am confused on number 15, the instructions are at the top.

Answers

You don't have #15 included.  If you meant to put #25, I already answered that.  Here is the solution again though.

#25 is fairly simple.  Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
√(12-(-4)) = √(16) = \frac{+}{}4
Extraneous root in this case is positive four since +4≠-4
√(12-3) = √(9) = \frac{+}{}3
In this case it's negative 3, since -3≠3

True or false1. All parallelograms are squares.
2. All squares are parallelograms.
3. All trapezoids are scalene.
4. All squares are rhombuses.
5. All rhombuses are squares.
6. All rectangles are squares.
7. All squares are rectangles.

Answers

The question is asking to state if those statements are true or false. First we have to mention some definitions: Parallelogram is a 4-sided flat shape with straight sides where opposite sides are parallel. And Parallelograms are: Square, rectangle and Rhombus. All Squares are Rectangles and all Rectangles are not Squares. Answers are: 1. All parallelograms are squares ( FALSE ) 2. All squares are parallelograms ( TRUE ) 3. All trapeziods are scalane ( FALSE ). 4. All squares are rhombuses ( TRUE ). 5. All rhombuses are squares ( FALSE ) 6. All rectangles are squares ( FALSE ). 7. All squares are rectangles ( TRUE ).

Final answer:

The truthfulness of these "geometric" statements varies; while all squares are parallelograms, rectangles, and rhombuses, the opposite is not true for all these shapes. The other statements are also false, as trapezoids don't need to be scalene and not all rectangles are squares.

Explanation:

The answers to these questions are dependent on the definitions of geometric shapes. Let's look at these one by one:

  1. False. While all squares are parallelograms, not all parallelograms are squares. A square is a specific type of parallelogram where all sides are equal and all angles are 90 degrees.
  2. True. All squares are parallelograms. This is because a square meets the definition of a parallelogram: it has two pairs of parallel sides.
  3. False. A trapezoid only has one pair of parallel sides, and the other pair is not, so it doesn't necessarily have to be scalene (having sides of unequal length).
  4. True. All squares are rhombuses. A square meets the definition of a rhombus as it is a parallelogram with all sides of equal length.
  5. False. While all squares are rhombuses, not all rhombuses are squares. A rhombus only requires all sides to be the same length; it does not require all angles to be 90 degrees, as is the case with a square.
  6. False. While all squares are rectangles, not all rectangles are squares. A rectangle is a parallelogram with all angles equal to 90 degrees. However, a square is a specific type of rectangle where all sides are also equal.
  7. True. All squares are rectangles. This is because a square meets the definition of a rectangle: it is a parallelogram with four right angles.

Learn more about Geometric Shapes here:

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If m = 2 and n = 3, then m 2 + n 2 is equal to _____.

25
625
10
13

Answers

The value of m² + n² will be 13 ( option D)

What is algebraic expression?

An algebraic expression is a mathematical phrase that combines numbers, variables, and operations like addition, subtraction, multiplication, and division.

It represents a value that can vary depending on the values assigned to the variables. For example, "3x + 5" is an algebraic expression where 'x' is a variable.

The algebraic expression is m² + n² and the value of m and n are given as

m = 2 and n = 3

2² + 3²

= 4 + 9

= 13

Therefore, m² + n² will be 13

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Final answer:

When m = 2 and n = 3, m2 + n2 equals 13.

Explanation:

To find the value of m2 + n2 when m = 2 and n = 3, we substitute the values of m and n into the expression.

So, m2 + n2 = 22 + 32 = 4 + 9 = 13.

Therefore, when m = 2 and n = 3, m2 + n2 equals 13.

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Willa bought 1 yard of yarn to knit a scarf. She wants to cut the yarn into for equal parts. Draw and label a number line from 0 to 1 to show where Willa would cut her yard of yarn. Label all the fractions.

Answers

Answer:

Step-by-step explanation:

Omar throws a softball from a starting height of 8 feet, with an initial velocity of 18 feet per second. Which of the following equations shows the path of the softball?

Answers

Answer:

it is D i took the test have proof below

Step-by-step explanation:

I can not see your choices but I'm assuming that this equation is what you are looking for: 16t+vt+ho. The other equation 4.9t+vt+ho is used for meters. I apologize if those weren't your choices as once again I can not see them.