Answer:
A.) (7t³ + 2k^4)(7t³ - 2k^4)
Step-by-step explanation:
Factor the following:
49 t^6 - 4 k^8
49 t^6 - 4 k^8 = (7 t^3)^2 - (2 k^4)^2:
(7 t^3)^2 - (2 k^4)^2
Factor the difference of two squares. (7 t^3)^2 - (2 k^4)^2 = (7 t^3 - 2 k^4) (7 t^3 + 2 k^4):
Answer: (7 t^3 - 2 k^4) (7 t^3 + 2 k^4)
Answer: 11.4 m
Step-by-step explanation:
The scenario depicted is that of a right angled triangle with the 7 meters being the base and the 9 meters being the height.
The length of the ladder will therefore be the Hypothenuse.
Using the Pythagorean Rule:
a² + b² = c²
with c being the hypothenuse
7² + 9² = c²
49 + 81 = c²
c²= 130
c = √130
c = 11.4 m
I'm not positive, but wouldn't it be 1 because they are all like terms? When like terms are similar you combine them together do you not?
Area of the pentagon: 342 cm2
Step-by-step explanation:
The figure of the pentagon is missing: find it in attachment.
The area of the pentagon can be seen as the area of 5 equal triangles, each of them having a base equal to the length of the side of the pentagon,
L = 14.1 cm
and the height of each triangle can be found by using Pythagorean's theorem:
The area of each of the 5 triangles is
Therefore, the area of the pentagon is 5 times this area:
Learn more about area of regular figures:
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