If he ate 6/8 of the pizza, that means 2/8 is left.
2/8 simplify it, by dividing it by 2 and your answer is...
IT'S 1/4
AC = √(40²-12²) = √(1600-144) = √1456 = 4√91
tanA = 12/4√91 = 3/√91 = 3√91/91
option а.
Answer:



Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation

add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of
is


The point is: 
The transformation

subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of
is

The point is: 
The transformation

Multiply the input variable (x) by 2 and then add two units
So the point in the graph of
is


The point is: 
Answer:
Step-by-step explanation:
Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle
Down triangle:
Base b = 8 in
Height = 6 in

= 24 in²
Trapezium:
bases a = 4 in & b = 6 in
Height h = 5 in

= 25 in²
Area of the upper triangle:
Base b = 6 in
Height = (8 - 5) = 3 in

= 9 in²
Area of the figure = 24 + 25 + 9 = 58 in²
Answer:
(0, 4)
Step-by-step explanation:
To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.
First, let's simplify y = x + 4x + 4 by combining the x's.
y = 5x + 4
Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.
5x + 4 = 2x + 4
Now you want to combine the terms.
[subtract 4] 5x = 2x
[subtract 2x] 3x = 0
Now you want to isolate the x.
[divide by 3] x = 0
Now we want to find y by plugging x = 0 back into the equations.
y = 5(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Check this with the other equation.
y = 2(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Your answer is correct!
(0, 4)