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Sati [7]
3 years ago
6

Please help me with this

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

x = -3/2 or x= sqareroot41/2

Step-by-step explanation:

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20 POINTS AND BRAINLIEST PLZ HELP
mojhsa [17]

Answer:

4

Step-by-step explanation:

Recall that for a function f(x) and for a constant k

f(x+k) represents a horizontal translation for the function f(x) by k units in the negative-x direction.

Hence f(x+k) is simply the graph of f(x) that has been moved left (negative x direction) by k units.

From the graph, we can see that g(x) = f(x+k) is simply the graph of f(x) that has been moved 4 units in the negative x-direction.

hence K is simply 4 units.

6 0
3 years ago
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Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogona
andrey2020 [161]

Answer:

a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' =  (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j  

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

8 0
2 years ago
How many factors of 10 does 1,000 in it???
Sauron [17]

Answer:

16 factors

Step-by-step explanation:

I hope this helps

Have an amazing day!

6 0
3 years ago
Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.
GREYUIT [131]
a_1=3
a_2=-4a_1
a_3=-4a_2=(-4)^2a_1
\cdots
a_6=-4a_5=\cdots=(-4)^5a_1

\implies a_6=(-4)^5\cdot3=-3072
6 0
3 years ago
Find the slope for the points (5,7) and (8,4)
raketka [301]

Answer:

-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-7)/(8-5)

m=-3/3

m=-1

4 0
3 years ago
Read 2 more answers
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