On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) −9 −6 6 9
2 answers:
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Answer:
1. All real numbers
2. All real numbers except y = 0
3. All real numbers except x = -7
4. All real numbers except b = 10
Step-by-step explanation:
For any function to be defined at a particular value, it should not be <em>approaching to a value </em><em> or it should not give us the </em>
<em> (zero by zero) form </em> when the input is given to the function.
The value of function will depend on the denominator.
Now, let us consider the given functions one by one:
1. 5y+2
Here denominator is 1. So, it can not attain a value or
<em> (zero by zero) form </em>
So, for all real numbers, the function is defined.
At y = 0, the value
So, the given function is <em>defined for all real numbers except y = 0</em>
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Let us consider denominator:
x + 7 can be zero at a value x = -7
So, the given function is <em>defined for all real numbers except x = -7</em>
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Let us consider denominator:
10-b can be zero at a value b = 10
So, the given function is <em>defined for all real numbers except b = 10</em>
<em></em>
The correct answer is the first option, 23.1 miles.
Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.
Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get
Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.
For this problem, we'll let the height of the hot air balloon be
and its respective opposite angle be 
, and let the missing x-distance be 
, with its respective opposite angle 
. Note, we're solving for .
Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.
Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get
Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.
For this problem, we'll let the height of the hot air balloon be
Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.