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2 years ago

Write the equation for a line that passes through the point (-3, 5) and is parallel to

Mathematics

2 answers:

alexdok [17]2 years ago

6 0

Answer:

y=3x+14

Step-by-step explanation:

We can use point-slope formula to find the equation.

y-5=3(x+3)

y-5=3x+9

y=3x+14

gtnhenbr [62]2 years ago

5 0

Answer:

y=3x+14

Step-by-step explanation:

We can use point-slope formula to find the equation.

$y-5=3(x+3)$

$y-5=3x+9$

$y=3x+14$

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Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

5 0

2 years ago

The Walt Whitman bridge is 2000 feet long. This is 600 feet longer than two fifths of the length of George Washington bridge. Wr

Minchanka [31]

Answer:

2000= 600+2/5x

Step-by-step explanation:

length = X Ft

(2/5)x+600=2000

multiple both sides by 5/2:

x + 1500= 5000

x= 3500 ft

3 0

2 years ago

Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it. If one ball is

LekaFEV [45]

Answer: Insufficient Information

The probability of selecting a red ball, a blue ball or a white ball is unknown.

Step-by-step explanation:

The probability of selecting a red ball, a blue ball or a white ball is unknown.

There could be 13 red balls, 1 blue ball and 11 white balls in the bag. There could be 3 red balls, 2 blue balls and 20 white balls in the bag. It is impossible to say with the information given have even numbers on them. The same thing applies to the number of balls with numbers or even numbers on them. The question does not specify how many white balls have each number on them.

8 0

3 years ago

Which of the following statements is true for ∠a and ∠b in the diagram?

Iteru [2.4K]

Answer:

B because they are the same angle

8 0

2 years ago

Read 2 more answers

What is the value of -44

garik1379 [7]

Hi friend!

I presume you mean "What is the absolute value of -44!

Well an absolute value is always positive. So the absolute value of -44 is 44!

Hope I helped!

If not, tell me more clearly what you need!

4 0

2 years ago

Read 2 more answers