Answer:
(x+4)^2 + (y+3)^2 = 5^2
Step-by-step explanation:
The equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
now substitute the known values
(x+4)^2 + (y+3)^2 = 5^2
and theres your equation
Answer:
The correct option is (C).
Step-by-step explanation:
The exponential function representing decay is as follows:

Here,
<em>y</em> = final value
<em>y</em>₀ = initial value
<em>k</em> = growth rate
<em>t</em> = time passed
The graph represents exponential decay is:
"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."
Thus, the correct option is (C).
Answer:
About 40 Minutes, Or something close to that
Step-by-step explanation:
The car covers 60 km in 90 minutes or its speed = 60 km*60/90 min = 40 km/hr . So to cover 100 km at the same speed it will take 100/40 = 40 Min
The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.
Given values in the question are:
Total distance,
= 188 miles
Total gas used,
= 8
Now,
⇒ The rate of gas consumption will be:
= 
By putting the given values in the above formula, we get
= 
= 
Thus the above is the appropriate solution.
Learn more about gas consumption here:
brainly.com/question/17321062
Answer:
The equation of the parallel line is
y = 3x + 9
Step-by-step explanation:
The general equation of a straight line is given as;
y = mx + c
where m is the slope and c is the intercept
If two lines are parallel, their slopes are equal
So the slope of the new line too is 3
Using the point-slope formula
y-y1 = m(x-x1)
y-12 = 3(x-1)
y-12 = 3x-3
y = 3x-3 + 12
y = 3x + 9