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Klio2033 [76]
3 years ago
5

Solve this equation 3/5 (x-10) = 18 - 4x - 1

Mathematics
2 answers:
nlexa [21]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

Good luck

Afina-wow [57]3 years ago
5 0
Answer:

3/5(x-10)=18-4x-1
3/5x-6=17-4x
3x-30=85-20x
3x+20x=85+30
23x=115
23x/23=115/23
x=5
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100.6 + 296.5 using<br> mental math
ruslelena [56]

Answer:397.1....i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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
NEEED HELPPPP ASAP PLEASEEE!!!! ONLY THE LAST ONE TO COMPLETE IM HAVING TROUBLE PLEASE
sergeinik [125]

The answer would be 1.52727...

To solve this, subtract 283-199 is 84. Then divide 84 by 55 since 55 is mph of the car. Then you would divide the 84/55. After, the calculation should be 1.52727...

So, the answer/ how much time it takes from Tallahassee to Live Oak is 1.5 hours. (1.52727, 1.53)

7 0
3 years ago
F(x)=-x^2 -4x -2, for this equation find the solutions, the coordinates of the vertex, and the axis of the symmetry.
Zina [86]

Answer:

Step-by-step explanation:

hello :

  Completing The Square   x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6

the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

(x-2)²= 6   means :  x-2 =√6   or   x-2 = -√6

x = 2+√6   or x =  2-√6

4 0
2 years ago
HELP!!!!<br><br> x ÷ 5.35 = 1.2
zloy xaker [14]

Answer:

x=6.42

Step-by-step explanation:

Multiply both sides by 5.35.

x=1.2×5.35

Simplify 1.2×5.35  to  6.42.

x=6.42

3 0
3 years ago
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