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3 years ago

(1 point) find the point pp where the line x=1+t,y=2t,z=−3tx=1+t,y=2t,z=−3t intersects the plane x+y−z=1.

1 answer:

5 0

Sub in values for x,y,z into plane equation.

(1+t) + 2t - (-3t) = 1

Solve for 't'

6t + 1 = 1
t = 0

Sub back in t=0 into line to find point.
x = 1+0 = 1
y = 2(0) = 0
z = -3(0) = 0

Answer : The point is (1,0,0)

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Answer:

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3 years ago

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Solve x2 + 1/2x +1/16=4/9

kolezko [41]

Answer:

x = 0.417 or x = -0.917

Step-by-step explanation:

We are given the following expression and we are to solve it for the variable x:

$x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }$

We will find the least common multiple of 2. 6 and 9:

$x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144$

Simplifying it to get:

$144x^2+72x+9=64$

$144x^2+72x+9-64=0$

$144x^2+72x-55=0$

Using the quadratic formula to solve for x:

$x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}$

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3 years ago

Time sensitive question. Find the sum of the first 26 terms of an arithmetic series whose first term is 7 and 26th term is 93.

lisabon 2012 [21]

ANSWER

$S_{26}=1300$

EXPLANATION

The sum of an arithmetic sequence whose first term and last terms are known is calculated using

$S_{n}= \frac{n}{2} (a + l)$

From the given information, the first term of the series is

$a = 7$

and the last term of the series is

$l = 93$

The sum of the first 26 terms is

$S_{26}= \frac{26}{2} (7 + 93)$

$S_{26}= 13 (100)$

$S_{26}=1300$

7 0

3 years ago

Please help-many points

kenny6666 [7]

Relatively prime means there are no number greater than 1 that divides them both.

Find the GCF for each set:

A. 68 and 119

68: 1 , 2, 4, 17, 34,68

119: 1, 7, 17

Both numbers can be divided by 1 or 17 so are not relative.

40 and 395

are both divisible by 1 and 5 so are not relative.

C. 119 and 715

Are both only divisible by 1, so are relative.

D. 63 and 56

Are divisible by both 1 and 7 so are not relative.

The answer is C. 119 and 715

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3 years ago

Which is the endpoint of a ray? point R point S point T point U

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The answer is point S

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3 years ago

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