Answer:
Part 1) The number of cups of flour needed to make 4 pizzas is 26
Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2
Step-by-step explanation:
we know that
Luigi uses 39 cups of flour for every 6 pizzas he makes
Let
y ----> the number of cups of flour used
x ---> the number of pizzas he makes
In this problem
The relationship between the variables x, and y, represent a proportional variation
we have the ordered pair (6,39)
so

Part 1) Find out the number of cups of flour needed to make 4 pizzas
using a proportion

Solve for y


Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour
using a proportion

Solve for x


6.
4x^2 + 4 = 0
Divide both sides by 4
x^2 + 1 = 0
Use the quadratic formula since this cannot be factored.
x = (-b +- sqrt(b^2 - 4ac))/(2a)
x = +- sqrt(-4(1)(1))/2
x = +- sqrt(-4)/2
x = +- 2i/2
x = +- i
x = i or x = -i
Quicker solution:
If you have x^2 = number, then
x = +- sqrt(number)
Once you get to
x^2 + 1 = 0
Subtract 1 from both sides
x^2 = -1
Apply the quick method
x = +- sqrt(-1)
x = +- i
8.
2x^2 + 50 = 0
Divide both sides by 2
x^2 + 25 = 0
Subtract 25 from both sides
x^2 = -25
Apply quick method
x = +- sqrt(25)
x = +- 5i
x = 5i or x = -5i
Answer:

Step-by-step explanation:
Given
Represent the coordinates of circle A with (x,y)
<u>Translation</u>
Left = 3 units
Up = 4 units
Required
Determine the coordinates of B
When a point (x,y) is translated by h units left, the new point is: (x - h, y)
When a point (x,y) is translated by b units up, the new point is: (x, y + b)
So, when circle A is completely translated to B, the new points of B is:

In this case:

So:

A). 8 is a factor of 24 but not of12.
B). 10 is not a factor of 12 or 24.
C). Bingo. 12 is a factor of 12 and of 24.
D). 18 is not a factor of 12 or 24.
Answer: I’ll edit this when I get the photo.
Step-by-step explanation: