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3 years ago

Evaluate the expression. ( – 5+ – 9)× – 3÷ – 2

Mathematics

2 answers:

gayaneshka [121]3 years ago

6 0

Answer:

-21.

Step-by-step explanation:

( – 5+ – 9)× – 3÷ – 2

Using order of operations we work out the parentheses first:

= (-5 - 9) * -3 / 2

= -14 * -3 / -2 Now the multiplication followed by the division:

= 42 / -2

= -21.

Ronch [10]3 years ago

3 0

Answer:

$-21$

Step-by-step explanation:

$( - 5+ - 9) \times - 3 \div - 2$

Solve the brackets first.

$( - 14) \times - 3 \div - 2$

Division comes next.

$( - 14) \times - 3/-2$

Cancel the negative signs.

$- 14 \times 3/2$

Multiply the terms.

$-42/2$

$=-21$

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3 years ago

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2 years ago

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2 years ago

Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

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The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

2 years ago

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MrRissso [65]

Answer:

y = 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

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6 0

2 years ago

Read 2 more answers