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bija089 [108]
2 years ago
11

Which of the following is equivalent to the radical expression below when

Mathematics
1 answer:
Airida [17]2 years ago
4 0

The equivalent expression of (\sqrt x - 2)(\sqrt x + 9) is x + 7\sqrt x - 18

<h3>How to determine the equivalent equation?</h3>

The expression is given as:

(\sqrt x - 2)(\sqrt x + 9)

Expand the expression

x - 2\sqrt x + 9\sqrt x - 18

Evaluate the like terms

x + 7\sqrt x - 18

Hence, the equivalent expression of (\sqrt x - 2)(\sqrt x + 9) is x + 7\sqrt x - 18

Read more about equivalent expression at:

brainly.com/question/2972832

#SPJ1

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Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses
emmasim [6.3K]
\bf \cfrac{\sqrt{-16}}{(1+i)+(6+3i)}\implies \cfrac{\sqrt{-1\cdot 16}}{1+i+6+3i}\implies \cfrac{\sqrt{-1}\cdot \sqrt{16}}{7+4i}&#10;\\\\\\&#10;\cfrac{i\cdot \sqrt{4^2}}{7+4i}\implies \cfrac{4i}{7+4i}\impliedby &#10;\begin{array}{llll}&#10;\textit{now, we'll multiply by the}\\&#10;\textit{conjugate of the denominator}&#10;\end{array}\\\\&#10;-------------------------------\\\\

\bf \textit{and recall }\textit{difference of squares}&#10;\\ \quad \\&#10;(a-b)(a+b) = a^2-b^2\qquad \qquad &#10;a^2-b^2 = (a-b)(a+b)\\\\&#10;\textit{also recall that }i^2=-1&#10;\\\\&#10;-------------------------------\\\\

\bf \cfrac{4i}{7+4i}\cdot \cfrac{7-4i}{7-4i}\implies \cfrac{4i(7-4i)}{(7+4i)(7-4i)}\implies \cfrac{28i-16i^2}{7^2-(4i)^2}&#10;\\\\\\&#10;\cfrac{28i-16(-1)}{49-(4^2i^2)}\implies \cfrac{28i+16}{49-[16(-1)]}\implies \cfrac{16+28i}{49+16}\implies \cfrac{16+28i}{65}&#10;\\\\\\&#10;\cfrac{16}{65}+\cfrac{28i}{65}
5 0
4 years ago
Which fraction represents this decimal? (Simplify)
Sveta_85 [38]

Answer:

5/40

Step-by-step explanation:

5/40=1/8 = 0.125

5 0
4 years ago
I need help with this plz and thank you
fgiga [73]

Answer:

The answer is: w  =  − 30

6 0
3 years ago
In a bag containing 29 marbles, 5 of the marbles are red and 2 are green. What is the probability of randomly selecting a marble
DedPeter [7]

Answer:

Probability= 22/29

Step-by-step explanation:

Total no. of marbles= 29

No of red marbles=5

No of green marbles= 2

No of marbles which are neither red nor green= 29-(5+2)

                                                                              =29-7

                                                                              =22 marbles

Probability= 22/29

7 0
4 years ago
Kello has $17 savings.she receives a $11 weekly allowance.write and solve an inequality to find the least amount of weeks it wil
IceJOKER [234]
Let, the number of weeks = x
It would be: 17 + 11x ≥ 72
Subtract 17 from both sides, 
11x ≥ 55
Divide by 11, 
x ≥ 5

So, at-least he needs 5 weeks for that

Hope this helps!
3 0
3 years ago
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