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2 years ago

Find the value of I in the triangle shown below. T = 56 312

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

8 0

Answer:

93 degrees

Step-by-step explanation:

The angles in a triangle add to be 180 so

180-56-31=x

x=93

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

- Equation Editor A set of curtains normally

sweet [91]

Answer:

89.99

Step-by-step explanation:

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2 years ago

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Lynna [10]

I got the last answer on the screen.

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2 years ago

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Pepsi [2]

It’s actually 25.2% of boys prefer to play inside

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3 years ago

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katrin2010 [14]

Answer:

$2.71

Step-by-step explanation:

$2 dollars in ones + $0.50 in quarters + $0.20 in dimes + $0.01 in pennies equals out to $2.71

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2 years ago