Answer:
Then the total area is 116 cm^2 which agrees with answer D
Step-by-step explanation:
Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)
The Area of a rectangle is the product: base x height
In our case :
Area of Big rectangle = 12 cm x 7 cm = 84 cm^2
Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2
Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2
ANSWER
The graph shifts 5 units left and 3 units up.
EXPLANATION
The given functions are:

and

We want to transform f(x) so that, it coincide with the g(x).
The required transformation is

Let us see why this works.


The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.
The third choice is correct.
Answer:
y = x - 4
Step-by-step explanation:
The standard equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the slope
Using the coordinate points (4, 0) and (0, -4)
m = -4-0/0-4
m = -4/-4
m = 1
Since the line cuts the y axis at y = -4, the y-intercept b = -4
Get the equation;
Since y = mx+b
y = 1x + (-4)
y = x - 4
This gives the required equation
Answer:
A
Step-by-step explanation:
Samantha already took up an appointment time slot, and the two people can't be at the appointment at the same time, so it should be A.
Answer:
Step-by-step explanation:
Pineapple:Sparkling water
3:2
A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.
B: 3 times as much punch, basically multiply by 3
3(3):2(3)
9:6 pineapple:water
2 (water) = 4 quarts 1=2 quarts
9(2)=18
B: 18 quarts