Answer:
The roots of the equation 2m²+3=m are non-real roots.
Step-by-step explanation:
Given equation:
2m²+3=m
2m²-m+3=0
Here, from the equation we can obtain the following values:
a = 2, b = -1, c = 3
Discriminant of an equation is given as:
D = b²-4ac
= (-1)²-4(2)(3)
= 1 - 21
= -20
Discriminant can tell what kinds of roots the equation have.
In our case, the discriminant is less than 0.
When D < 0, the roots of the equation are complex conjugates.(non-real)
Answer:
x=106 degrees
Step-by-step explanation:
I'm going to assume that this is a circle since you didn't give it to me
So you want to add 164 and 90 together and subtract the sum by 360
360-(164+90)=106
So you want to use PEMDAS (order of operations) to solve this
- so do what's in the perenthesis first so 164+90=254
- Then you want to subtract 254 from 360 so 360-254=106
x=106 degrees
Answer:
Only option C shows a function
Step-by-step explanation:
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.
In option A, a vertical line would cross two values, so it is not a function.
The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.
Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.
<u>ANSWER</u>

<u>EXPLANATION</u>
The Cartesian equation is

We substitute


and

This implies that

Let us evaluate the exponents to get:

Factor the RHS to get:

Divide through by r²

Apply the double angle identity

The polar equation then becomes:

Answer:
1. 
2. 3.2362
3. 
Step-by-step explanation:
1.
Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>
By pythagorean theorem, we have the "hypotenuse" as 
Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc
=
</em>
<em />
<em>First answer choice is right.</em>
<em />
2.
By definition, Csc
is the inverse of Sine
. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Third answer choice is right.
3.
By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Third answer is right.