The mistake is present in step 3. According to the product rule, we find



(meaning that a factor of
is overlooked)
Then




The correct calculation yields 6.75. Dividing the number by 8 results in 6.75.
Answer:
(12, 3), (-2, -5), (1, 15)
Step-by-step explanation:
The line may intersect any point where the x-coordinate is positive and the y-coordinate exceeds -1. Such points include...
(12, 3), (1, 15)
The line can also cross any point where the x-coordinate is negative while the y-coordinate is lower than -1. That point is...
(-2, -5)
__
In the provided diagram, the lines colored green demonstrate a positive slope, while the red lines do not.
X = 2
4x + 8 = 16
-8 -8
----------------
4x= 8
-- --
4 4
------------
x=2
Answer: 39 cm
Step-by-step explanation:
Let's consider the kite as depicted in the image provided, where TW=5 cm, TX=12 cm, and TZ=4 cm.
First, we need to determine the lengths of the unknown sides to calculate the perimeter, assuming that both the top and bottom parts consist of isosceles triangles.
For the upper segment, we will apply the Pythagorean Theorem to triangle TWZ, with TZ measuring 4 cm and TW being 5 cm. Hence, we must calculate WZ:

By isolating
:


For the lower segment, we can apply the Pythagorean Theorem to triangle WZX, where WZ=3 cm and ZX=8 cm. We need to find WX:



Now that the lengths of all sides are identified, the perimeter can be calculated:

The closest option to this calculated value is 39 cm.