3 x 1.5 = 4.5 and positive, negative
Answer:
8 -7/16 y+4/5 p - 3/8 y
-7/16 y -3/8 y expand fraction so it would turn to
-7y/16-3y/8
multiply by 2 on the 3/8 to get a common demominator
-7y/16-6y/16
-7y-6y/16
collect like terms
-13y/16
rewrite fraction
- 13/16y
so the whole equation would turn into
8-13/16y+4/5p
Using subtraction of perfect squares, it is found that the factored expression is:
9t² - 4 = (3t - 2)(3t + 2).
<h3>What is the subtraction of perfect squares factoring?</h3>
It is given as follows:
a^2 - b^2 = (a - b)(a + b)
In this problem, the binomial is given as follows:
9t² - 4.
Hence:
Hence the factored expression is:
9t² - 4 = (3t - 2)(3t + 2).
More can be learned about subtraction of perfect squares at brainly.com/question/16948935
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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)
