Answer:

Step-by-step explanation:
<u><em>The complete options are</em></u>
a) x - 2y = 30
b) 4x - 3y = 30
c) 3x - 4y = 30
d) 6x - 6y = 30
The given equation is

<u>Verify option d</u>
we have

Divide by 6 both sides



therefore
and
are equivalent
Consider a trapezoid GJKF with:
GH=JH (hypothesis)
FL=KL (hypothesis)
so HL is the median of trapezoid GJKF
so: HL=1/2(2.5+1.2)=1.85
Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>

(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:

Collect like terms and subtract 4 from both sides:

Complete the square for both variables by adding the square of half of the coefficient of
and
to both sides:


Factor both variables:

Therefore:
- center = (-2, 6)
- radius = √36 = 6
Answer:
D
Step-by-step explanation:
Answer:
Option: D is the correct answer.
The equation of line in point-slope form is given by:
y-9=2(x-1)
Step-by-step explanation:
We know that the point-slope equation of a line is given by:
y-b=m(x-a)
where (a,b) is the point from which the line passes and m is the slope of the line.
Here we are given that:
The line passes through (1,9) and slope of the line is given to be 2.
Hence,
(a,b)=(1,9) and m=2
Hence, the equation of line is given by:
y-9=2(x-1)
Therefore, the point slope intercept equation of the line is: D