The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.
We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".
P(1) = 14 + 5(1)
P(2) = 14 + 5(2)
P(3) = 14 + 5(3)
We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.
P(n) = 14 + 5n
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Answer:
7.66
Step-by-step explanation:
Just open the parenthesis.
4x-4+4x+4x-4=84
Now simplify and solve
12x-8=84
12x=92
x= 7.66
Answer:
x^4 - 81 = 0
(x² - 9)(x² + 9) = 0
Notice that the first of these is itself a difference of two squares:
(x - 3)(x + 3)(x² + 9) = 0
So the solutions are x = 3, x = -3, x = 3i, x = -3i
Answer:
Step-by-step explanation:
Assuming we want to find the equation (74,2) and (4,9)
This is an equation of a straight.
Let this equation be y=mx+b.
We substitute the slope and (4,9) to get:
We rewrite in standard form to get:
