Answer:
Step-by-step explanation:
It is given that the point P(x, y) lies on the unit circle and is defined by real number e. We have to find csc(e) i.e cosecant of (e)
This scenario is represented in the figure attached below.
The formula of csc is:
A right angled triangle is constructed, as shown in figure. The hypotenuse of the triangle forms the radius of the circle. Since, the circle is a unit circle the length of hypotenuse would be equal to 1.
Hypotenuse = 1
So, the formula of csc would be reduced to:
The side opposite to the angle made at origin is y. So,
<em><u>Question:</u></em>
4x + 2y = 0
- 4x – 9y= - 28
Solve each system by elimination
<em><u>Answer:</u></em>
The solution is x = -2 and y = 4
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
4x + 2y = 0 ------ eqn 1
-4x – 9y = - 28 ------- eqn 2
We have to solve the system of equations by elimination method
Add eqn 1 and eqn 2
4x + 2y -4x -9y = 0 - 28
0 + 2y - 9y = -28
-7y = -28
Divide both sides by -7
y = 4
<em><u>Substitute y = 4 in eqn 1</u></em>
4x + 2(4) = 0
4x + 8 = 0
4x = -8
Divide both sides by 4
x = -2
Thus the solution is x = -2 and y = 4
6x^2 - 2x + 1 is a quadratic formula from the form ax^2 + bx + c. This form of equation represents a parabola.
Finding 6x^2 - 2x + 1 = 0, means that you need to find the zeroes of the equation.
Δ = b^2 - 4ac
If Δ>0, the equation admits 2 zeroes and 6x^2 - 2x + 1 = 0 exists for 2 values of x.
If Δ<0, the equation doesn't admit any zero, and 6x^2 - 2x + 1 = 0 doesn't exist since the parabola doesn't intersect with the axe X'X
If Δ=0, the equation admits 1 zero, which means that the peak of the parabola is touching the axe X'X.
In 6x^2 - 2x + 1, a=6, b=-2, and c =1.
Δ= b^2 - 4ac
Δ=(-2)^2 - 4(6)(1)
Δ= 4 - 24
Δ= -20
Δ<0 so the parabola doesn't intersect with the Axe X'X, which means there's no solution for 6x^2 - 2x + 1 = 0.
I've added a picture of the parabola represented by this equation under the answer.
Hope this Helps! :)
Answer:depends on how large. It is still a ratio of 3.5 to 2
Step-by-step explanation: this means if you use 4 green paints then you must use 7 cups of blue to make that same shade of green but two times the size.
Answer:
590/1000
Step-by-step explanation:
