The steps below show the incomplete solution to find the value of x for the equation 7x 8 − 3x = −6 10: Step 1: 7x 8 − 3x = −6 1
1 answer:
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Answer:
44 ft
Step-by-step explanation:
Given: Julie is 6 feet tall
She stands 15 feet from the flagpole.
The edges of the square line up with the top and bottom of the flagpole.
Lets assume the height of flagpole be "h".
As given, the edges of the square line up with the top and bottom of the flagpole.
∴ Angle and base of triangle are same then ratio of corresponding sides are also equal.
Now, finding the height of flagpole by using tangent rule.
we know,
Remember, both the angle are equal.
∴ Ratio of opposite and adjacent leg for both right angle triangle=
We can put it;
Solving the equation now
⇒
Multiplying both side by 15
⇒
Multiplying both side by (h-6)
⇒
Distributive property of multiplication
⇒
Adding both side by 36
⇒
Dividing both side by 6
⇒
∴
Hence, the height of flagpole is 44 feet.
<h2>Hello!</h2>
The answer is:
The range of the function is:
Range: y>2
or
Range: (2,∞+)
<h2>Why?</h2>To calculate the range of the following function (exponential function) we need to perform the following steps:
First: Find the value of "x"
So, finding "x" we have:
Second: Interpret the restriction of the function:
Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.
So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.
Hence, the range of the function is:
Range: y>2
or
Range: (2,∞+)
Note: I have attached a picture (the graph of the function) for better understanding.
Have a nice day!