Answer:
yes
Step-by-step explanation:
y <= -4x + 12
(2,4) 4 <= -4*2 + 12 4<= 4 is true
The volume of a cylinder is
(pi) (radius²) (height) .
Radius = 1/2 diameter.
Radius of this pool = (1/2) (18 ft) = 9 ft
The pool is a cylinder with height of 4.5 feet.
The water in it is also a cylinder, but only 4 ft high.
Volume of the water =
(pi) x (radius²) x (height)
= (pi) x (9 ft)² x (4 ft)
= (pi) x (81 ft²) x (4 ft)
= (pi) x (324 ft³) = 1,017.9 ft³ .
g(x) = 3√(x-5) -1
The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.
Horizontal stretching: It means the graph is elongated or shrink in x direction.
Vertical stretching : It means the graph is elongated or shrink in y direction
Vertical translation : It means moving the base of the graph in y direction
Horizontal translation : It means moving the base of the graph in x direction
According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.
Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get
g(x) = 3√x -1
According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.
Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get
g(x) = 3√(x-5) -1
To learn more about graphical transformation, refer to brainly.com/question/4025726
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It's 627,751. You're welcome.
The equation of the line is 
Explanation:
Given that the line passes through the points (-5,-3)
The slope of the line is 
We need to determine the equation of the line.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Let us substitute the points (-5,-3) and the slope in the above formula.
Thus, we have;
Simplifying, we get;
Subtracting 3 from both sides of the equation, we get;
Hence, the equation of the line in slope - intercept form is
