Answer:
-80
Step-by-step explanation:
2x^2 + 3xy - 4y^2
x = 2 | y = - 4
2(2)^2 + 3(2)(-4) - 4(-4)^2
2 * 4 + 3(2)(-4) - 4 * 16
8 - 24 - 64
-80
Opposite of 12 is -12
absolute value of -12 is 12
distance between 0 and -12 is 12
absolute value of 12 is 12
A
First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside
After distributing, the left side of your inequality will be 6x-2
Now you have

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.
so you have

And that will make the equation

Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.
Then, the value of x is greater than or equal to 2

Here's the solution :
slope of the line is equal to :
slope of given line = 3
Answer:
Part a) 3 inches
Part b) Yes, her scale model drawing will fit on the piece of paper 8.5 by 7 inches
Step-by-step explanation:
we know that
The scale drawing is

That means
1 inch in the model represent 2 feet in the actual
Part a) What is the length of the garden in her model?
we know that
The length of the garden is 6 feet in the actual
so
Find out the length of the garden in her model, using proportion

Part b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
we know that
The model width is described as 5 inches. Both the 3-inch length and the 5-inch width are less than the 8.5 inch and 7 inch dimensions of the paper Kelly is using.
therefore
She can easily draw her model on that size paper.