Let's solve for all of the ordered pairs...
A. (2,-7)
4x-2y>20
4(2)-2(-7)>20
8+14>20
22>20
True
B. (-2,-7)
4x-2y>20
4(-2)-2(-7)>20
-8+14>20
6>20
Not true
C. (-2,7)
4x-2y>20
4(-2)-2(7)>20
-8-14>20
-22>20
Not true
D. (2,7)
4x-2y>20
4(2)-2(7)>20
8-14>20
-6>20
Not true
A is the correct answer
Answer:
144?
Step-by-step explanation:
Answer: Choice B

=========================================================
Explanation:
We'll be using the converse of the pythagorean theorem.
If we had a triangle with sides a,b,c and
was true, then we have a right triangle. Note: c is always the longest side
For the first answer choice we have: a = 5, b = 8, c = 12
Then,

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.
Choice B on the other hand works because

We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.
Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If
, the function is translated "k" units up
If
, the function is translated "k" units down.
If
, the function is translated "k" units left.
If
, the function is translated "k" units right.
In this case you have the following function:

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

Finally, simplifying, you get that this is:

He answer to this question is:A. The length is 8 inches, and the width is 5 inches.
The scale factor can be found in the question, "the art team made a scale drawing of the top of the box using a scale of 3 inches to 1 inch". This means the scale drawing should be divided by a scale factor of 3:1 (simplified into 3).
The scale factor is then divided with the components provided (24 inches in length, 15 inches in width).
(24/3) = 8 inches(15/3) = 5 inches
Your answer is length = 8 inches, width = 5 inches.
hope this helps u