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aniked [119]
3 years ago
7

Evaluate the expression:

Mathematics
2 answers:
drek231 [11]3 years ago
6 0

Answer:

Value of v.w is:

-13

Step-by-step explanation:

If we are given two vectors as:

a=<x1,y1,z1> and b=<x2,y2,z2>

Then, a.b=x1x2+y1y2+z1z2

Here, we have to find the dot product of v = <6, 7, -3> and w = <-7, 5, 2>

i.e. we have to find v.w

v.w=6(-7)+7(5)-3(2)

    = -42+35-6

    = -48+35

    = -13

Hence, Value of v.w is:

-13

MArishka [77]3 years ago
4 0
V . w = 6(-7) + 7(5) + (-3)(2) = -42 + 35 - 6 = -13
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Step-by-step explanation: some guy

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3 years ago
How many solutions does the equation |x + 6| − 4 = c have if c = 5? If c = −10? Complete the explanation
mixer [17]

Answer:

<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>

Step-by-step explanation:

We know

|a|\geq0

for any real value of <em>a</em>.

|a| = b > 0 -  <em>two solutions: </em>a = b or a = -b

|a| = 0 - <em>one solution: a = 0</em>

|a| = b < 0 - <em>no solution</em>

<em />

|x + 6| - 4 = c

for c = 5:

|x + 6| - 4 = 5           <em>add 4 to both sides</em>

|x + 6| = 9 > 0   <em>TWO SOLUTIONS</em>

for c = -10

|x + 6| - 4 = -10           <em>add 4 to both sides</em>

|x + 6| = -6 < 0   <em>NO SOLUTIONS</em>

<em></em>

Calculate the solutions for c = 5:

|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9         <em>subtract 6 from both sides</em>

x = 3 or x = -15

5 0
3 years ago
How to solve X + y = 2<br> X - y = 4
SpyIntel [72]
So y+x=2
x-y=4
one way is subsituteion where yousubisutte one of the number for another exg

x-y=4
add y to both sides
x=y+4
subsitute y+4 for x in x+y=2
 y+4+y=2
2y+4=2
subtract 4 from both sides
2y=-2
divide both sides by 2
y=-1
subsiutte
x+y=2
x-1=2
x=3




or elimination

x+y=2
x-y=4
add the two equations and cancel the y terms

x+x+y-y=2+4
2x=6
divide both sides by 2
x==3
subsitute
x+y=2
3+y=2
y=-1


so x=3
y=-1
5 0
3 years ago
Use suitable Identities and find <br>●( X - 5 ) ( x-5 )<br>●( 3x +2 ) (3x -2 )<br>●( 1+x )(1+x) ​
Nonamiya [84]

Answer:

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Step-by-step explanation:

<h2><u>IdEnTiTy UsED</u></h2>

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1)

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A ball is thrown into the air with an upward velocity of 32 ft/s. Its height h in feet after t seconds is given by the function
yan [13]
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t = 1 s
 
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8 0
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