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kumpel [21]
2 years ago
11

The graph of a direct variation equation passes through the point (4,6). Write the direct variation equation and find the value

of y when x=24​
Mathematics
1 answer:
wlad13 [49]2 years ago
3 0

Answer:

y = 26

Step-by-step explanation:

Write the direct variation equation.

y = ax

Substitute y for 6 and x for 4.

The new equation is:

6 = a(4)

Simplify:

6 = 4a

Divide by 4 on both sides to get a = 6/4.

________________________________

y = 6/4(24), 6/4 x 24 is 104/4. 104/4 is 26.

y = 26

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Answer:

sin ( 11π / 8 ) = sin ( π + 3 π/ 8 ) =  

= - sin ( 3π/8 ) =  

= - sin ( 3π/4 / 2 ) =  

Step-by-step explanation:

7 0
3 years ago
I need a little help on 21
lidiya [134]

Answer:

560 seconds.

Step-by-step explanation:

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3 years ago
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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
2 years ago
Could you anwser this for me​
IgorLugansk [536]

Answer:

last answer

Step-by-step explanation:

I factored it, but I might have done it wrong.

3 0
3 years ago
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There are 3 pieces of glass that are cracked. if a rock is thrown by a lawn mower hits the window, what is the probability, that
kirza4 [7]

The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore,  0.20.

Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.

The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.

The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.

Learn more about the probability here brainly.com/question/24756209

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1 year ago
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