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2 years ago

Fill in the blanks to complete the sentences about zero pairs.

Mathematics

1 answer:

Svetlanka [38]2 years ago

8 0

Zero pairs are generated by combining the EQUAL number of positive and negative numbers .

A zero pair could be -11 + 11

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Which of the following logarithmic expressions are equivalent to ln sqrt xy +ln (x/e)? select all that apply

spayn [35]

Answer: Option d.

Step-by-step explanation:

It is important to remember the following proporties in order to solve the exercise:

$ln(a)+ln(b)=ln(ab)\\\\ln(a)-ln(b)=ln(\frac{a}{b})\\\\ln(a)^m=mln(a)\\\\ln(e)=1$

In this case you have this expression given in the exercise:

$ln(\sqrt{xy})+ln(\frac{x}{e})$

Since equivalent expression have always the same value, you can simplify the expression given in order to find an equivalent expression.

Therefore, applying the corresponding properties, you get the following equivalent expression (Remember that $\sqrt[n]{a^n}=a$ ):

$ln(\sqrt{xy})+ln(\frac{x}{e})=ln(\sqrt{xy})+ln(x)-ln(e)=ln(x\sqrt{xy})-1$

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3 years ago

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3 years ago

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Kruka [31]

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3 years ago

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Determine the lowest common denominator of the following rational expressions

andreev551 [17]

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3 years ago

Besties this is 100 points & i'll give brainliest istg i need to know this

diamong [38]

Answer:

$\displaystyle b = - 14$

$\displaystyle c = - 54$

Step-by-step explanation:

to figure out b we can consider the following formula:

$\displaystyle \frac{ - b}{2a} = h$

the form of vertex coordinate given by

$\displaystyle (h,k)$

so according to the question

$\displaystyle (h,k) = ( - 7, - 5)$

by order pair we obtain:

$\displaystyle h = - 7, k = - 5$

now substitute the value of h and a to the formula:

$\displaystyle \frac{ - b}{2(- 1)} = - 7$

simplify multiplication:

$\displaystyle \frac{ - b}{ - 2} = - 7$

cross multiplication:

$\displaystyle - b = 14$

divide both sides by -1:

$\displaystyle b = - 14$

now we need to figure out C to do so substitute -7 for x and -5 for y which yields:

$\displaystyle - {7}^{2} - 14( - 7) + c = - 5$

simplify square:

$\displaystyle -49 - 14( - 7) + c = - 5$

simplify multiplication:

$\displaystyle -49 + 98+ c = - 5$

simplify addition:

$\displaystyle 49+ c = - 5$

cancel 49 from both sides:

$\displaystyle c = - 54$

hence,

b=-14
C=-54

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4 years ago

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