Which of the following equations have no solutions?

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Masja [62]

Answer:

blue increased is addition

Step-by-step explanation:

7 0

2 years ago

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A statue of Abraham Lincoln casts a 9-foot shadow at the same time the White House casts a 48-foot shadow. If the White House is

jeka94

Answer: The statue, originally intended to be only 10 feet tall, was on further consideration enlarged so that it finally stood 19 feet tall from head to foot, the scale being such that if Lincoln were standing he would be 28 feet tall.

Step-by-step explanation: hope this helps

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2 years ago

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Which of the following statements is false?

kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

$\frac{1}{4} + \frac{1}{5} = \frac{9}{20}$

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0

3 years ago

Negative5 to the negative2 power is what? How do you figure out a negative power?

Paraphin [41]

<span>Scientific NotationDate: 09/16/97 at 00:42:42 From: Aubin Subject: Scientific notation How do you do this problem? I don't understand how you're supposed to get the answer: 5x10 to the 3rd power = 5,000 5x10 to the -3rd power = -5,000 Is this correct? <span>Date: 11/03/97 at 09:56:46 From: Doctor Pipe Subject: Re: Scientific notation Aubin, The first part of what you wrote is correct; 5x10 to the 3rd power = 5,000. The second part is not correct. Writing a negative exponent, such as 10^-3 (read that as ten to the minus third power) is the same as writing 1/(10^3) (read that as one over ten to the third power). Notice that the exponent is negative when writing 10^-3 and positive when writing 1/(10^3) - yet the two numbers are equal. Remember that any number to the zeroeth power, say 10^0, is equal to 1. 10^0 = 1; 5^0 = 1; 275^0 = 1. Remember also that when multiplying two numbers written as base^exponent, if the base in both numbers is equal then we add together the exponents: 10^5 x 10^6 = 10^(5+6) = 10^11. If we have a number 10^5, what number do we multiply it by to get 1? Well, 10^5 x 10^(-5) = 10^(5 + (-5)) = 10^0 = 1. So if 10^5 x 10^(-5) = 1 then 10^(-5) = 1 / 10^5 So, since 10^3 = 1,000 then 10^(-3) = 1/(10^3) = 1/1,000 = 0.001 . It follows from this that: 5x10 to the -3rd power = 5 x 10^(-3) = 5 x 0.001 = 0.005 . The reason for this can be seen by examining what numbers to the right of the decimal point represent. You know what numbers to the left of the decimal point represent: the units digit represents the numeral times 10^0 (any number to the 0th power is 1), the tens digit represents the numeral times 10^1, the hundreds digit represents the numeral times 10^2, and so on. Well, to the right of the decimal point, the tenths digit represents the numeral times 10^-1, the hundredths digit represents the numeral times 10^-2, the thousandths digit represents the numeral times 10^-3, and so on. It's important to understand exponents because exponents allow us to extend the range of numbers that we can work with by allowing us to easily write and work with very large and very small numbers. It's so much easier to write: 10^23 then to write: 100,000,000,000,000,000,000,000 Or to write: 10^(-23) instead of: 0.00000000000000000000001</span></span>

4 0

3 years ago

The expression 2(128 + 5) + V7 can be used to find the perimeter of the triangle. What does

Mama L [17]

You do the things in the parentheses first then multiply them by 2

5 0

2 years ago