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3 years ago

Without calculating the sum, determine whether each answer will be rational or irrational.

Mathematics

1 answer:

Ray Of Light [21]3 years ago

7 0

Answer:

Irrational

rational

Step-by-step explanation:

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Which expression is equivalent to 63 + 27?

azamat

The answer would be B.

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3 years ago

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

3 years ago

What is the slope of the line that passes through the points (4,-9) and ? (8,-3) Write your answer in simplest form.

Mariana [72]

The slope of the line =1.5x - 15

8 0

3 years ago

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What’s the value of x? and what’s the measure of angel JHK?

enot [183]

Answer:

x = 14

JHK = 21

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

3x-21 = x+7

Subtract x from each side

3x-x -21 = x+7-x

2x-21 = 7

Add 21 to each side

2x-21+21 = 7+21

2x = 28

Divide by 2

2x/2 =28/2

x = 14

JHK = 3x-21 = 3(14) -21 = 42-21 = 21

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2 years ago

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Math fractions subhan cut a sandwich into 8 equal pieces and ate 1 piece. he had 7/8 left subhan put each of the remaining piece

erma4kov [3.2K]

1 sandwich cut into 8 pieces then eats 1 pieces,
then had 7/8 lefts means that 7 pieces left, if he put each mean put 1 pieces in a plate, than he need 7 plates.

When he ate 1 piece, it means that he ate 1/8 or 1 out of 8 pieces.
he put 1/8 part of the sandwich on each plate.

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3 years ago