Answer:
answer
Step-by-step explanation:
To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.
Answer:
Step-by-step explanation:
1) we know that
Sally can paint the wall in 54 minutes
so
The 100% of the wall ------> she can paint in 54 minutes
by proportion
calculate how much is the percent of the work in 36 minutes
That means
Sally in 36 minutes can paint the 66.67% of the wall
2) Sally and Ethan work together, they can paint the wall in 36 minutes
so
Ethan in 36 minutes can paint (100%-66.67%)=33.33%
by proportion
Calculate how much time does it take for Ethan to paint the wall by herself
Answer:
slope is zero
Step-by-step explanation:
zero slope is neither positive or negative; it indicates no change whatsoever
The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
brainly.com/question/1559324
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Answer:
-5 because the number is before zero which irrational number
