There is no picture attached
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You are being asked to draw the reflection of the triangle DKW.
As with a reflection in a mirror, the reflected object appears to be as far behind the mirror as the original object is in front of the mirror.
When you reflect a point across a line, the image is as far from the line on the other side as the original point is from the line. When the line of reflection is a vertical line, as here (x = 0 = y-axis), the y-coordinates are unchanged.
Points W and K are 2 units to the right of the y-axis. Their reflections will lie on the same horizontal line, but will be 2 units to the left of the y-axis.
Point D is 5 units to the right of the y-axis, so its reflection will be 5 units to the left.
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<em>Additional comment</em>
The original triangle and its reflection are symmetrical about the line of reflection.
Answer:
Objective Function z
z = 5*x + 4*y . to maximize
Step-by-step explanation:
eggs flour
P. Bread (x) 2 3
Z. Bread . (y) 3 4
Availability . 15 16
Constraints.
Eggs availability . 15
2*x + 3*y ≤ 15
Flour availability 16 cups
3*x + 4*y ≤16
Objective Function z
z = 5*x + 4*y . to maximize
The model:
z = 5*x + 4*y . to maximize
Subject to:
2*x + 3*y ≤ 15
3*x + 4*y ≤16
x ≥ 0 y ≥ 0 . integers
For this case we must solve the following equation:
We remove the parentheses on the right side:
We add similar terms on the right side:
We subtract from both sides of the equation:
We add 9 to both sides of the equation:
We divide by 8 on both sides of the equation:
We apply square root to both sides of the equation:
We have two roots:
Answer:
You first have to make an simple equation.
= How many pennies
= How many quarters
After that, since a penny is 5 Cents and a quarter is 25 Cents, we make the equation as:
(cents)
To write the whole entire thing in an equation is:
Since I brought the x from the left to right, we change the positive "" to negative ""
To bring the '' to , we get rid of the ""s from both equations.
Now, you are left with the simplified equation:
Now you find the .
= 28
Conclude:
So the y was the quarter and the x was the pennies.
Quarters = 13
Pennies = 28