In this item, we are not given with the choices for the ordered pair which could be the solution to the given equation. What can be done is to assume a value for one of the variables and solve for the other. To be able to find one that satisfies let x be equal to zero and substitute to the given equation.
-3(0) - 7y = 37
Simplifying,
-0 - 7y = 37
The value of y from the equation is 37/7. Thus, one of the ordered pairs that satisfies the equation is,
(0, 37/7)
Answer: Slope is 1 because if we have x by itself, we assume it is only one.
y-intercept because according to the slope intercept formula, (y=mx+b), it is in the correct spot.
The height of the triangular base of the pyramid is calculated through the equation,
h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of x is 30°. Substituting,
h = (cos 30°)(18 in)
h = 15.59 in
Thus, the height of the base is approximately 15.59 inches.
