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3 years ago

PLEASE ANSWER!!! THANK YOU!!

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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Consider the two lines l1:x=−2t,y=1+2t,z=3tl1:x=−2t,y=1+2t,z=3t and l2:x=−8+4s,y=0+5s,z=5+1sl2:x=−8+4s,y=0+5s,z=5+1s find the po

seraphim [82]

At the point of intersection, the coordinates are the same:

... (x, y, z) = (-2t, 1+2t, 3t) = (-8+4s, 5s, 5+s)

We only need two of the coordinates to solve for the values of s and t. Using the x- and y-coordinates, we have

... 4s + 2t = 8 . . . . . . x2 - x1 = 0, in standard form

... 5s -2t = 1 . . . . . . . y2 - y1 = 0, in standard form

Adding these equations gives 9s=9, so s=1. Substituting into either equation gives t=2.

Using the expression for l1 with t=2, the point of intersection is

... (-2·2, 1+2·2, 3·2) = (-4, 5, 6).

_____

We could have stopped after finding the value of s, because that defines the point. By finding the value of t, we can check the solution to make sure that l1 and l2 both give the same point for the respective values of s and t. (They do.)

8 0

3 years ago

You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w

DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

$A=P(1+\frac{r}{100})^{n}$

Where A = Future value

P = Present value

r = rate of interest

n = time in years

Now we put the values

$A=670(1+\frac{7.1}{100})^{15}$

$A=670(1+0.071)^{15}$

$A=670(1.071)^{15}$

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

$A=670(1+\frac{6.5}{100})^{15}$

$A=670(1+0.6.5)^{15}$

$A=670(1.065)^{15}$

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0

3 years ago

Last month Maria hiked the 5 mile mountain

zaharov [31]

Then hiked it 3 more times how many miles did she hike?

7 0

3 years ago

Use the square root property of equality to solve (x – 3)2 = –4. The solutions are a. -1 or 7 b. 1 or 5 c. 3+- 2i d. 3+-4i

makkiz [27]

The answer is C. 3+-2i

(x-3) $(x-3)^{2} = -4

 \sqrt{(x-3)^2} = +- \sqrt{-4

x - 3 = i \sqrt{4} 

x - 3 = +-2i

x = 3 +-2i$

6 0

3 years ago

Read 2 more answers

Tell me please I need help with this one guys pleaseee thanks you so much :()))

siniylev [52]

A. At the very end
B.one more away from that
C.on the left

7 0

3 years ago

*PLEASE ANSWER!!! THANK YOU!!*

PLEASE ANSWER!!! THANK YOU!!