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S_A_V [24]
3 years ago
15

What is the location of the point on the number line that is 2/9 of the way from A=5 to B=23

Mathematics
1 answer:
qaws [65]3 years ago
3 0

Answer:

9 is (2/9) of the way from A = 5 to B = 23.

Step-by-step explanation:

Note that there are 23-5, or 18, units separating 5 and 23.

2/9 of that distance is (2/9)(18), or 4.

Adding 4 to 5, we get 9.

9 is (2/9) of the way from A = 5 to B = 23.

If this is not clear, I'd suggest you draw this situation and prove to yourself that 9 is (2/9) of the way from A = 5 to B = 23.

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3 years ago
Integration of ∫(cos3x+3sinx)dx ​
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Answer:

\boxed{\pink{\tt I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C}}

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\  dx

  • Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
  • Now , Rewrite using du and u .

\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I =  \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C }}}}}

6 0
3 years ago
Solve the equation negative 3X +9 equals three(2x+3) + 3(x-4) + 1
timofeeve [1]

Answer:

1

Step-by-step explanation:

-3x+9=3(2x+3)+3(x-4)+1

Distributive property in the parenthesis

-3x+9=6x+9+3x-12+1

Combine Like Terms

-3x+9=9x-2

Get the x’s on one side

-3x+9=9x-2

+3.  +2    +3. +2

11=11x

Divide by 11 on both sides

11/11=1

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3 years ago
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Answer:

No, yes, no, yes

Step-by-step explanation:

Lines are only perpendicular if their gradients multiply to -1.

7 0
2 years ago
Angelina is a sales representative for an appliance distributor. She needs to make at least $5000 in weekly sales of a particula
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