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3 years ago

Simplify the given expression below:

Mathematics

2 answers:

Zina [86]3 years ago

4 0

The answer will be C. OR 3. 11−<span>13<span>i</span></span>

WINSTONCH [101]3 years ago

4 0

Answer:

The correct option is 3.

Step-by-step explanation:

The given expression is

$(7-3i)\cdot(2-i)$

We need to find the simplified form of given expression.

Using distributive property, the given expression can be written as

$7\cdot(2-i)-3i\cdot(2-i)$

$7(2)+7(-i)-3i(2)-3i(-i)$

On further simplification we get

$14-7i-6i+3i^2$

$14-13i+3(-1)$ $[\because i^2=-1]$

$14-13i-3$

On combining like terms we get

$(14-3)-13i$

$11-13i$

The simplified form of given expression is 11-13i. Therefore the correct option is 3.

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3 years ago

Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.

Lelu [443]

The absolute value $|x|$ returns the "positive version" of a number. In other words, if $x$ is already positive, then $|x|=x$ . Otherwise, if $x$ is negative, then the absolute value changes its sign, so that it returns positive: $|x|=-x$ .

So, in this case, we have to plug the required values for $x$ in the expression $2x-8$ . Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

$x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13$

$x=0 \implies |2x-8| = |0-8|=|-8|=8$

$x=4 \implies |2x-8| = |8-8|=|0|=0$

$x=5 \implies |2x-8| = |10-8|=|2|=2$

$x=9.5 \implies |2x-8| = |19-8|=|11|=11$

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2 years ago

Susie scored 85, 84,and 78 on three of the four math tests. if her average score for the four tests was 86. what was her score o

nata0808 [166]

(85 + 84 + 78 + x) / 4 = 86
(247 + x) / 4 = 86
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x = 97 <=== her score was 97

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3 years ago

Read 2 more answers

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3 years ago

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