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3 years ago

Find the coordinates of the point (x,y,z)(x,y,z) on the plane z=2x+3y+3z=2x+3y+3 which is closest to the origin.

1 answer:

4 0

The vector equation of the line through the origin perpendicular to the plane is
.. (x, y, z) = t(2, 3, -1)
so the point of interest will satisfy
.. 2(2t) +3(3t) -(-t) = -3
.. 14t = -3
.. t = -3/14
and its coordinates are (x, y, z) = (-3/7, -9/14, 3/14)

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Find the value of x in the equation below. 17 = 14 +2

ozzi

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

10f – 6 – 10f = -8(-2f - 10) + 10

netineya [11]

Answer:

f= -6 i think

8 0

2 years ago

Question is in the picture, please help me out!!

Grace [21]

The arithmetic sequences are as follow:

<h3>What is Arithmetic Sequence?</h3>

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

1) t(n) = 5n + 4

t(1) = 9, t(2) = 14, t(3) = 19

So,

9,14,19,...

d= 14-9 = 5

d= 19-14 =5

Hence, it is an AP

2) 1, 2, 4, 8 , 16

Hence, it is not an AP

3) 3, 6, 9 ,...

It is an AP

4)It is given that it is an AP

5) tn = 2*3^n

t1= 6, t2= 18, t3= 54

So, 6, 18, 54,...

Hence, it is not an AP

6) 3 , 1, 1/3,...

It is not an AP

7) t(n+1)= 6*t(n)

t(1) = -1

t(2)=-6

t(3)= -36

Hence, it is not an AP

8) -3, 1, 5, 9

Hence, it is an AP.

9) 1, 4, 9,...

Hence, it not an AP

10) 2,1,0,1,2,...

It is not an AP

11) t(n)= -2n-5

t(1)= -7, t(2)= -9, t(3)= -11

Hence, it is an AP

12) tn= (1/2)^n

t1= 1/2, t2= 1/4, t3= 1/8

It is not an AP

Learn more about AP here:

brainly.com/question/24873057

#SPJ1

6 0

2 years ago

Rewrite! Write an new and equivalent equation that is easier to solve

RUDIKE [14]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - an equation in it's general form

To do - convert the given equation into a form that is easy to solve

Given equation -

$\bold{(x + 2) {}^{2} + 4(x + 2) - 5 = 0} \\$

solve the parenthesis so as to obtain simpler terms

$\bold{\implies \: ( x {}^{2} + 4x + 4 ) + 4x + 8 - 5 = 0}\\$

solve the like terms and you'll obtain the required equation !

$\bold{\implies \: x {}^{2} + 8x - 7 = 0}$

hope helpful ~

8 0

2 years ago

Read 2 more answers

Car A travels 180 miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the f

GalinKa [24]

Car A travels 180miles in 7 hours
Car A travels 25.7 miles an hour because 180/7 = 25.7

Car B travels 350 miles in 4 hours
Car B travels 87.5 miles an hour because 350/4= 87.5

Car C travels 584 miles in 15 hours
Car C travels 38.9 miles an hour because 584/9 = 38.9

Car B has the fastest average speed

5 0

3 years ago