Answer:
(√74, 54.46°)
Step-by-step explanation:
The rectangular coordinate point is given as; (5, 7)
Now, converting rectangular coordinates to polar coordinates is done by;
(r, θ)
Where, r is the magnitude while θ is the angle
r = √(5² + 7²)
r = √74
tan θ = (7/5)
θ = tan^(-1) 1.4
θ = 54.46°
Thus,polar coordinate is; (√74, 54.46°)
Answer:
Consider the following system of equations given in slope-intercept form.
y = −1
3
x + 17,
y = 5x - 23
Step-by-step explanation:
The complete question is as follows.
The equation a = 
can be used to determine the area , <em>a</em>, of a trapezoid with height , h, and base lengths, 
and 
. Which are equivalent equations?
(a) 
(b) 
(c) 
=
(d) 
(e) 
= h
Answer: (a) ; (d) ;
Step-by-step explanation: To determine :
a =
2a = (
)h
To determine h:
a =
2a = 
= h
To determine
a =
2a =
Checking the alternatives, you have that and = h, so alternatives <u>A</u> and <u>D</u> are correct.
3x^2 + 9x + 6 = 0
3x^2 + 3x + 6x + 6 = 0
3x(x + 1) + 6(x + 1) = 0
(3x + 6)(x + 1) = 0
3x + 6 = 0 and x + 1 = 0
3x = -6 and x = -1
x = -2 and x = -1
