Answer:
z = 1
Step-by-step explanation:
See the diagram of the triangle attached to this question.
We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.
Hence,
42z + 37 = 40z + (26z + 13)
⇒ 42z + 37 = 66z + 13
⇒ 37 - 13 = 66z - 42z
⇒ 24 = 24z
⇒ z = 1 (Answer)
Because domain restrictions apply to this rational expression, x cannot be equal to {-2, 2}.
<h3>What is domain?</h3>
Domain restrictions are any points in the domain where the function will not have a value. This basically means that there is a point in the function where x will not work.
For the numerator, any value of x will suffice. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.
However, the denominator cannot be equal to zero. This is due to the fact that a fraction bar represents division, and we cannot divide by zero.
Here,
x²-4=0
Add 4 to both sides:
x²-4+4 = 0+4
x² = 4
Take the square root of both sides:
√x² = √4
x = 2 or x = -2
The x cannot be equal to {-2, 2} as domain restrictions apply to this rational expression.
To know more about domain,
brainly.com/question/10238709
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He would have said $55
(PLEASE MARK BRAINLIEST)
Answer:
0.375 seconds
Step-by-step explanation:
In simple terms, to find the time it took to reach the ground, we need to find t from the equation.
If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.
We can now equate this to its velocity and solve for t
10 = -32t +4
t = 0.1875 <em>( time cannot be negative in value, so we ignore the negative sign)</em>
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Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.
<em>(We need to account for the fact that the fireworks went up and came down)</em>
