Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Answer:
Step-by-step explanation:
The given expression is
We need to find the simplified form of the given expression.
It can be rewritten as
Combine integers and fractions separately.
Taking LCM we get
In can be written as
Therefore, the expression is equivalent to the given expression.
The value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two linear equations:
y = 6x - b ..(1)
..(2)
From the second equation:
-6x + y = -6
After rearranging:
y = 6x - 6 ..(3)
On comparing equation (1) and (3)
b = 6
Thus, the value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
Learn more about the linear equation here:
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