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Mademuasel [1]
3 years ago
5

. If the length of the side of a table is 3 more than twice its width, what is the expression

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

Perimeter = 6w + 6

Step-by-step explanation:

Let width = w

Length = 2w + 3

Perimeter = 2*(length + width)

                = 2*(2w + 3 + w)       {add the like terms}

               = 2*( 3w+3)

              = 2*3w + 2*3

              = 6w + 6

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Consider the parametric curve x = 2t^(3)-3t^(2)+2 and y = t^(3)-12t,-pi leq t leq pi . (a) Find the values of t (if any) where t
bagirrra123 [75]

Answer:

  (a) t = ±2

  (b) t ∈ {0, 1}

  (c) In navigation terms: east by north. The slope is about 0.42 at that point.

Step-by-step explanation:

(a) dy/dx = 0 when dy/dt = 0

  dy/dt = 3t^2 -12 = 0 = 3(t -2)(t +2)

The slope is zero at t = ±2.

__

(b) dy/dx = (dy/dt)/(dx/dt) = <em>undefined</em> when dx/dt = 0

  dx/dt = 6t^2 -6t = 6(t)(t -1) = 0

The slope is undefined for t ∈ {0, 1}.

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(c) At t=3, dy/dx = (dy/dt)/(dx/dt) = 3(3-2)(3+2)/(6(3)(3-1)) = 15/36 = 5/12

The general direction of movement is away from the origin along a line with a slope of 5/12, about 22.6° CCW from the +x direction.

_____

The first attachment shows the derivative and its zeros and asymptotes. It also shows some of the detail of the parametric curve near the origin.

The second attachment shows the parametric curve over the domain for which it is defined, along with the point where t=3.

5 0
3 years ago
I need some help with this question, I got a different answer.
N76 [4]

Answer:

The median is the middle number.

Step-by-step explanation:

You have to order the numbers from least to greatest, or greatest to least, and choose the number in the middle. Since there is an even number of values, you have to take the mean of the two middle numbers. I hope this helps.

5 0
3 years ago
Show that in a group of five people (where any two people are either friends or enemies), there are not necessarily three mutual
sveta [45]

Answer:

Lets call the people A,B,C,D and E. We need to find an example where there are not 3 mutual friends and not three mutual enemies.

Lets start by assuming that A has 2 friends, B and C, and 2 enemies, D and E.

Since we want A,B and C not to be mutually friends, then B and C neccesarily have to be enemies.

Now, since B and C are enemies, they cant be enemies at the same time with D, and they also cant be enemies at the same time with E. Therefore one of them has to be friends with D and one has to be friends with E.

Also, since D and E are enemies with A, they neccesarily need to be friends.

From the fact that D and E are friends, we coclude that they cant have a friend in common, as a consequence, B has to be friends with one of D and E and C has to be friend with the other. We can assume that B is friend with D and C is friend with E. If we use that, we have the following friendship configuration

---------------------

Friends of A: B, C

Enemies of A: D,E

-------------------------

Friends of B: A,D

Enemies of B: C, E

------------------------

Friends of C: A,E

Enemies of C: B,D

------------------------

Friends of D: B,E

Enemies of D: A,C

----------------------------

Friends of E: C,D

Enemies of E:  A,B

--------------------------

As you can check, there is not three mutual friends nor three mutual enemies.

8 0
3 years ago
Which number line correctly shows 4.5 - 2.5?
il63 [147K]

Answer:

number one

Step-by-step explanation:

if if 4.5 - 2.5 the answer is 2 that means the answer is number one

5 0
3 years ago
Read 2 more answers
The measure of the supplement of an angle is 42 more than 3 times the measure of the complement of an angle. Find the measure of
Novosadov [1.4K]

Answer:

126

Step-by-step explanation:

We multiply 42 × 3= 126

The measure of the angle is 126.

8 0
3 years ago
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