Determine if v12 is rational or irrational and give a reason for your answer. The number v12 is

Q: Classify -0.25 as rational or irrational. Explain.

A: 1. For 36, The number 36 is square of 6 and it is an integer. So, it is a rational number. 36=62=6…

Q: If the operation is defined on the set of rational numbers by xy = x + y – 2xy solve the equation x…

A:

Q: Write each rational expression in lowest terms m2-n2/m+n

A:

Q: Find three rational numbers between the following pairs of numbers. 8 and 0.89 a. 8 b. and 0.89…

A: Given that: (a)89 and 0.89(b)89 and 0.89

Q: Find the length of side x in simplest radical form with a rational denominator. 60° V8 300

A: Consider the triangle

Q: Find the length of side x in simplest radical form with a rational denominator. 30° 12 60°

A: We have to find x

Q: Find the length of side x in simplest radical form with a rational denominator. V5 45

A: Given diagrams are, 1)   2)

Q: Let a and b be non-zero rational numbers and c be an irrational number. Consider the operations…

A: Givena and b are rational , c is irrational number.To finda+ba-ca·baba.b.c

Q: Determine whether each number is rationa Rational Irrational V15 -V3 -V16 3/4k6

A: To determine whether each number is rational or irrational.

Q: Enter the rational number as where a and b are integers. The rational number 7 is equal to

A: Given that 712. The objective is to change the mixed fraction to pq form. Now let's change the mixed…

Q: Which rational expressions are equivalent to −x/y​?

A: Consider the expression  -xy

Q: ow by contradiction that if 5x2+ 3 is irrational, then x is irrational. -

A: Proof by contradiction

Q: Use a calculator to find a rational number r such that |r − π2| < 10−4.

A: Consider the given information. |r − π2| < 10−4 The absolute the function is defined as.…

Q: The volume of a 12-inch-tall cone is 144n cubic inches. Which statement about the radius of the base…

A: We are given the volume 'V' of the cone 144 π  cubic inches and the height 'h' of the cone 12 inch.…

Q: Circle the rational number and explain what makes it rational. (a) 271/2 (b) 4-1 (c) (1/3)-1/2…

A:

Q: Find the length of side x in simplest radical form with a rational denomir 60 7 30 X

A: Solve the following

Q: V343 is a number. Choose the correct word to fill-in-the-blank. Rational O Imaginary O Irrational…

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60 30 V7

A: To find :                   The length of side x in simplest form with rational denominator.

Q: Find the length of side x in simplest radical form with a rational denominator. 60 7. 30

A: we know that in a right angle triangle tanθ=altitudebase…

Q: Which of the following is a rational number? O A) V10 O B) V100 OC) V1000 O D) V100000

A: Given: A) 10B) 100C) 1000D) 100000 To select: The rational number from the given.

Q: Find the length of side x in simplest radical form with a rational denominator. 45° V5 45°

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 450 45 V3

A: We are given a right triangle with base 3 and 2 angles other than 90o are 45o each as shoe in…

Q: (b) Write the rational expressions as equivalent rational expressions with the lowest common…

A:

Q: Determine whether each statement is true or false. If the statement is false, make the necessary…

A: Given: some rational numbers are not positive.

Q: Which rational numbers are complex fractions? Select the TW0 that apply. 25 100 * m45 645/8

A: our objective is to find the complex fraction number

Q: Find the length of side x in simplest radical form with a rational denominator. 60 V8 30 X

A:

Q: Tell whether each statement is true or false. Every negative number is also a rational number.

A: We know, 2 is an irrational number⇒-2 is an irrational number Hence, the given statement "Every…

Q: perform the indicated operations involving rational expressions. Express final answers in simplest…

A: The expression 5x412x2y3÷95xy

Q: perform the indicated operations involving rational expressions. Express final answers in simplest…

A: 3ab34c÷21ac12bc3

Q: Find the length of side x in simplest radical form with a rational denominator. бо° V3 300

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60° V2 30° X

A: Given triangle Then we have to find the value of x So first we will be naming the triangle ABC here…

Q: perform the indicated operations involving rational expressions. Express final answers in simplest…

A: 10a25b2×15b32a4

Q: identify each statement as true or false. Zero is a rational number.

A: Given:Zero is a rational number

Q: Describe and correct the error in classifying the number. X. V144 ls Irratlonal. Since 144 is a v.…

A: We have to find the number

Q: Given the rational functions, complete the table of values for x= -2, -1, 0,1,2

A: The table of values for x= -2, -1, 0,1,2 should be computed for the given rational functions.

Q: What is the root X-1 6 N|X 2 11

A:

Q: Which number is RATIONAL? A) V18 B) V24 C) V36 D). V39

A:

Q: Find the reciprocal of the rational expression. 2-4x+9 2-36 12. Type an expression. Do not factor.)

A:

Q: perform the indicated operations involving rational expressions. Express final answers in simplest…

A: Given expression: 5a2b211ab ×22a315ab2

Q: Write the following rational expression in lowest terms 2-1 2t 2

A:

Q: a Show that each number is rational by writing it in the form , where a and b are integers and b +…

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 600 V3 300

A: In a right-angled triangle, the tangent or tan ratio of a acute angle, say x, of the triangle is…

Q: If an irrational number is decreased by 2V18 result is V2. What is the number? V50, the

A: To find An irrational number when it is decreased by 218-50 and result…

Q: Which is a factor of P(x) =  x^3 - 2x^2 - 5x +6 , x-1 or x+1? Explain. Which is a root of P(x)  x^3…

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60 V8 300

A: For the given triangle, let it be △ABC, where ∠B=90° To find out the measure of x, we will use…

Q: perform the indicated operations involving rational expressions. Express final answers in simplest…

A: Given:9a2c12bc2×14c321ab

Q: Find the length of side x in simplest radical form with a rational denominator. 450 V5 45°

A:

Q: Find a rational number x and an irrational number y in the interval (0.119, 0.12).

A: Given: The interval (0.119, 0.12)

Q: Find the length of side x in simplest radical form with a rational denominator. 60 V5 X 30

A: Use appropriate trigonometric ratio and find x.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.