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3 years ago

Place each of the digits 1, 3, 5, and 6 in the blanks provided to create an expression whose value is 1/10

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

Step-by-step explanation:

From the picture attached,

Multiplication of two fractions gives the result as $\frac{1}{10}$ .

This shows that the denominator of the fractions when multiplied with each other results a number that will be the multiple of 10.

Therefore, from the given numbers,

5 × 6 = 30

Rest two numbers be placed as the numerator of the fractions.

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

$=\frac{1}{10}$

Therefore, $\frac{1}{5}\times \frac{3}{6}=\frac{1}{10}$ will be the answer.

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Verify that -tan2x = (2tanx) / (sec^2x - 2)

sashaice [31]

Answer:

Below.

Step-by-step explanation:

- tan 2x = -2tanx / (1 - tan^2x)

Using the identity tan^2x = sec^2x - 1 and substituting for tan^2x:

- tan 2x = -2 tanx / (1 - (sec^2x - 1))

= 2 tanx / ( - 1(sec^2x + 2))

= 2 tan x / (sec^2 x - 2)

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3 years ago

How to write x^2 + y^2 - 2x + 2y = 7 in standard form

kodGreya [7K]

Answer:

7 is its standared form

Step-by-step explanation:

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3 years ago

Find the slope of the line that passes through the points (0, -3) and (-4, 1).

gayaneshka [121]

Find slope by calculating rise (change in y) over run (change in x).

1-(-3)/-4-0
4/-4
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Final answer: A

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2 years ago

How do you evaluate an algebraic expression?

vodomira [7]

Answer:

follow the Order of Operations

Step-by-step explanation:

An algebraic expression cannot be evaluated unless all of its variables have been replaced by numerical values. (It can be simplified, but not evaluated if it contains variables.)

A collection of numbers and math symbols is interpreted according to the Order of Operations. This order reflects a precedence of operations that is generally agreed or understood to be applied to algebraic expressions. Operations with the highest precedence are performed first. Operations with equal precedence are generally performed in order, left to right. (There are exceptions.) Parentheses or other grouping symbols are used to modify the order of operations as may be necessary.

Here is a description of the most often seen operations in an algebraic expression, in order of precedence (highest to lowest).

1. Parentheses or Brackets -- any expression enclosed in parentheses or brackets is evaluated first. Evaluation is according to the order of operations. That means that if parentheses are nested, expressions in the innermost parentheses are evaluated first.

2. Exponents or Indices -- Expressions with exponents are evaluated next. In this context, roots are fractional exponents. If exponents are nested, they are applied right to left:

3^2^4 = 3^(2^4) = 3^16 = 43,046,721 . . . for example

Parentheses modify this order, so ...

(3^2)^4 = 9^4 = 6,561

The exponent is taken to be the first number immediately following the exponentiation symbol, so ...

9^1/2 = (9^1)/2 = 9/2 = 4.5

Again, parentheses alter this order, so ...

9^(1/2) = √9 = 3

3. Multiplication and Division -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, division is the same as multiplication by a reciprocal, and multiplication is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

For example, 9*2/3 would be evaluated as (9*2)/3 = 18/3 = 6. However, recognizing that 9 = 3*3, you can rearrange the evaluation to ...

9/3*2 = 3*2 = 6

This rearrangement is allowed by the properties of multiplication, not by the Order of Operations.

You will also note that 9/3*2 is not the same as 9/(3*2). That is, the denominator in the division is only the first number after the division symbol. This is also true for expressions involving variables:

b/2a = (b/2)*a

If you want b/(2a), you must use parentheses.

Some authors make a distinction between the slash (/) and the symbol ÷ in their effect on an expression. The Order of Operations makes no such distinction, treating /, ÷, "over", "divided by" as all meaning exactly the same thing.

4. Addition and Subtraction -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, subtraction is the same as addition of an opposite, and addition is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

Based on the first letters of these operations, several mnemonic "words" or phrases have been invented to help you remember the order. Some are ...

PEMDAS

Please Excuse My Dear Aunt Sally

BIDMAS

There are a number of tricky expressions floating around that test your understanding of the order of operations. Here is one of them:

10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9

One of the things that makes this tricky is the distinction between ÷ and /, as discussed above. Here, the author of the expression intends for the / to indicate a fraction, so 2÷1/2 is intended to mean 2÷(1/2).

Working this according to the order of operations, we have ...

= 10 × 4 - 2 × (16 ÷ 4) ÷ 2 ÷ (1/2) + 9 . . . . . exponent inside parentheses

= 10 × 4 - 2 × 4 ÷ 2 ÷ (1/2) + 9 . . . . . division inside parentheses

= 40 - 2 × 4 ÷ 2 ÷ (1/2) + 9 . . . . . . first multiplication

= 40 - 8 ÷ 2 ÷ (1/2) + 9 . . . . . . second multiplication

= 40 - 4 ÷ (1/2) + 9 . . . . . first division

= 40 - 8 + 9 . . . . . . second division

= 32 . . . . . . first addition

= 41 . . . . . . second addition

7 0

2 years ago

Find the real solutions, if any, of the following equation. Use the quadratic formula. x^2 square root 2x -5 =0

JulijaS [17]

Answer:

x = 0 or x = 5/2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 sqrt(2 x - 5) = 0

Split into two equations:

x^2 = 0 or sqrt(2 x - 5) = 0

Take the square root of both sides:

x = 0 or sqrt(2 x - 5) = 0

Square both sides:

x = 0 or 2 x - 5 = 0

Add 5 to both sides:

x = 0 or 2 x = 5

Divide both sides by 2:

Answer: x = 0 or x = 5/2

3 0

2 years ago