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BARSIC [14]
2 years ago
10

Help please and thanks

Mathematics
1 answer:
12345 [234]2 years ago
6 0

Answer:

C

Step-by-step explanation:

6/9 simplified is 2/3 they're equal to each other so they're proportional

Hope this helps :)

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write the 3 terms of ( 2a+ax)^5 given the first terms in the expansion (b +2x) (2+ ax)^5 are 96 - 176x+cx^2. find the values of
Sloan [31]

Answer:

a^5x^5, 10a^5x^4, 40a^5x^3

Step-by-step explanation:

Use pascal's triangle for the first one

(2+x)^5 * a^5

= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...

= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...

7 0
2 years ago
One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the
Kipish [7]

Let's call the two numbers s and l.


Given these variables, we can say: s = l - 14, based on the first sentence in the problem.


Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}


To solve, we can simply substitute l -14 in for s in the second equation and solve.

\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}

  • Set up

\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}

  • Get terms on the left side to a common denominator for easier addition

\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}

  • Simplify

4(6l - 70) = l(l - 14)

  • Cross multiplication (\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc)

24l - 280 = l^2 - 14l

  • Simplify

l^2 - 38l + 280 = 0

  • Subtract 24l - 280 from both sides of the equation

(l - 10)(l - 28) = 0

  • Factor left side of the equation

l = 10, 28

  • Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

s = 10 - 14 = -4,

Since s is not positive in this case, l = 10 is not a solution.


Thus, l = 28 is our only solution. In this case,

s = 28 - 14 = 14,

which means that the smaller number is 14 and the larger number is 28.

5 0
3 years ago
A triangular pyramid has lateral faces with bases of 6 meters and heights of 9 meters. The area of the base of the pyramid is 15
charle [14.2K]
Bases+faces=surface area
15.6+81=96.6
Because 1/2*6*9=27*3=81
4 0
2 years ago
Read 2 more answers
how to rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.
rodikova [14]

We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.

The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.

Learn more about vector here

brainly.com/question/25811261

#SPJ4

8 0
1 year ago
Let p: x &lt; −3<br> Let q: x &gt; 3<br><br> What is represented by p ∨ q?
I am Lyosha [343]

Amphitrite1040Answer:

Amphitrite1040

Step-by-step explanation:

7 0
3 years ago
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