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Paha777 [63]
3 years ago
9

For what values of a are v = a i − j + k and w = a i + a j − 3 k perpendicular? give exact values.

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
The vectors are perpendicular when their dot product is zero. That is
.. a^2 -a -3 = 0
.. (a -1/2)^2 -13/4 = 0
.. a = (1 ±√13)/2
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Wich of these are part of the irrational number set ?
Ne4ueva [31]
An irrational number is a number than can't be put into a fraction. and is usually REALLY long number with decimal and does not have repeating numbers

A. 3/4 = 0.75 It is a fraction 

B. √225 = 15 It is a whole number

C. √17 = 4.1231056245617.... It is an irrational number

D. 175.2845 It is not irrational and can be put into a fraction (175  \frac{569}{2000})

4 0
3 years ago
Write an equation in point-slope form of the line through these given points.I need separate answers for each problem, thx
andrew-mc [135]

I like point point form because it doesn't fail in the no slope case.  The line through (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

Point slope form is almost the same,

y - b = \dfrac{d-b}{c-a} (x-a)

1. (a,b)=(4,0),(c,d)=(-2,1)

y - 0 = (1 - 0)/(-2 - 4) (x - 4)

Answer: y = (-1/6)(x-4)

2.

y - -2 = (3 - -2)/(5 - -3) (x - -3)

Answer: y + 2 = (5/8) (x+3)

3.

y - 1 = (4 - 1)/(3 - -5) (x - -5)

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7 0
3 years ago
A box contains 25 crayons. There are 8 red crayons and 6 yellow crayons and the rest are blue
lawyer [7]

Answer:

0.44

Step-by-step explanation:

im pretty sure it is 0.44 because of the division.

6 0
3 years ago
Alliic
pochemuha
First, we need to solve the first equation in order to see what the options need to be equivalent to. our first step to solving this is to distribute -3 through the parenthesis 
y + 5 = -3x + 3
next, move the constant to the right side and change its sign
y = -3x + 3 - 5
calculate the difference
y = -3x - 2
since we cant find x, your final solution for y is y = -3x - 2, x ∈ R
now that we know the solution to that equation, we can now solve the options listed to see which ones are equivalent.
first is y = -3x - 2, which is very simple to solve because y has already been found. since we know y and there is no solution for x, our answer to this equation is y = -3x -2, x ∈ R. since this is the exact same answer as our first equation, we know that the A is equivalent to y + 5 = -3(x - 1)
the next equation is also already solved for y and has no x, so the answer to this equation is y = -4x - 5, x ∈ R. since this is does not have the same answer that <span>y + 5 = -3(x - 1) had</span>, option B is not equivalent.
our next equation is 3x + y = -2 does not provide y for us, so we must solve it.
first, you need to move the variable to the right side and change its sign
3x = -2 - y
now divide both sides of the equation by 3
x = - 2/3 = y/3
write all the numerators above their common denominators
x = - 2 + y/3 
since we dont know what y is, our final solution is
x = - \frac{2+y}{3} , y ∈ R
since this answer does not match the answer we are looking for, option C is not equivalent.  
finally, we must solve -4x + y = -5
the first step to solving this is to move the variable to the right side and change its sign
-4x = -5 - y
divide both sides of the equation by -4
x = 5/4 + y/4
now, write all the numerators above their common denominators 
x = 5 + y/4
since we dont know what y is, our answer is x = \frac{5+y}{4} , y ∈ R
since this is also not equivalent to <span>y + 5 = -3(x - 1), our only answer is option A.
let me know if you have any further questions 
:)</span>
5 0
2 years ago
HELP ASAP WILL GIVE BRAINILIST ANSWER<br><br> 8/3___19/7<br><br> A) &gt;<br> B) &lt;<br> C) =
Troyanec [42]
3*2=6
2 2/3

7*2=14
2 5/7

the answer is B)
good luck
6 0
3 years ago
Read 2 more answers
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