To understand the algebra, go through the following equations below:
- First the thing to note is that the top square is the square of the bottom square: Stage 1: 1 &
, stage 2 = 2 & 
, stage 3 = 3 & 
- Second image: Just add the two values above to get the total of tiles needed. For stage 5: 5 +
= 30, Stage 12: 12 + 
= 156
Part B
- First equation : y =
+ n
- second equation: y = n + (n*n)
<h3>Meaning of algebra</h3>
Algebra is defined as a branch of mathematics that deals with variables, symbols and finding of these unknown using arithmetic operation such as ( +, -, *, ÷ )
Algebra is the study and understanding of mathematical symbols and how to manipulate them in mathematical problems and formulae.
In conclusion, the above are the solution to the questions on the attached image.
Learn more about algebra: brainly.com/question/22399890
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Answer:
Isosceles
Step-by-step explanation:
Hope this helps you
Answer:
42
Step-by-step explanation:
According to ACT WorkKeys Curriculum.
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
