Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,

Let base = 9,
Let height = 3,

Triangle,

Let base = 3,
Let height = 3,

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

Answer:
Answer B (proportional)
Step-by-step explanation:
The variable y and x are related by the constant of proportionality "6" in the expression
y = 6 x
Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.
y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"
because 1+1+1+1=4 and thats 4 1's 1+1=2 2+2=4
Answer:
The graph of g(x) is shifted 4 units down.
Answer:
Option B. (x+3) ^2+(y+4)^2=25
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to

where
(h,k) is the center and r is the radius
step 1
Find the radius of the circle
Remember that the distance of the center and any point on the circle is equal to the radius of the circle
so
Find the distance between the points (-3,-4) and (0,0)
the formula to calculate the distance between two points is equal to

substitute




step 2
Find the equation of the circle

the center is the point (-3,-4) and the radius is r=5 units
substitute

