Answer:
x = 4, y = 9.
Step-by-step explanation:
3x -2y = -6 and y = x+5
Substitute y = x + 5 in the first equation:
3x - 2(x + 5) = -6
3x - 2x - 10 = -6
x = -6 + 10
x = 4
So y = 4 + 5 = 9.
45/63 is the answer, sorry if wrong
In the table, it shows the x values and the corresponding y values under it [aka f(x)].
The problem is basically asking which equation, a,b,c or d will get the y values with the x values.
we can try this with x value 3 and y value 7
a. 3^x=3^3=3*3*3=27
27 is so far away from 7 so a must be wrong
b.3x=3*3=9
still not 7 therefore b is also wrong
c. 2^x-1= 2^3-1=8-1=7
7=7 therefore this one might be right, but to make sure we have to check if d is correct or not
d. 2x+1=2*3+1=7
7=7 so d is also correct for the first set of values.
Next we should use the next available values until one of the answers c or d is confirmed wrong
x value 4 and y value 15
c. 2^4-1=16-1=15
15=15
d. 2x+1=8+1=9
9 does not work
Therefore, the answer should be c.
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
radians.
