14). A Christmas tree in the shape of an isosceles triangle sits on a

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

5 0

Answer:

The area would be 60 feet

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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Nitella [24]

Answer:

Step-by-step explanation:

Given the logarithmic equation

$\log_4x+\log_4(x-3)=\log_4(-7x+21)$

First, notice that

$x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x$

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

$\log_4x+\log_4(x-3)=\log_4x(x-3),$

then

$\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3$

Hence, $x=3$ and $x=-7$ are extraneous solutions

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2 years ago

What is a unit fraction

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A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4 ,1/5, etc.

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3 years ago

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Find the area of a sector with a 4 inch radius and arc measure of 90 degrees. use 3.14 for pi.

gulaghasi [49]

Answer:

$\frac{90}{360} \pi{r}^{2} \\ \frac{1}{4} \times 3.14 \times { 4}^{2} \\ = 12.56 {in}^{2}$