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spayn [35]
3 years ago
6

Find the quotient. Simplify your answer.y-4/y ÷ 6/y​

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer: \frac{y-4}{6}

Step-by-step explanation:

To find the quotient asked, you need to make the division indicated.

You can follow these steps:

1. Find the reciprocal of \frac{6}{y}. You need to turn it upside down. Then you get that the recriprocal is:

\frac{y}{6}

2. Now you must multiply \frac{y-4}{y} by  \frac{y}{6}:

(\frac{y-4}{y})(\frac{y}{6})=\frac{(y-4)(y)}{(y)(6)}

3. Simplifying, you get that the quotient is:

=\frac{y-4}{6}

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Factor completely 2x5 + 10x4 - 22x3.
PIT_PIT [208]

Answer:  2x³(x² + 5x - 11)

<u>Step-by-step explanation:</u>

2x⁵ + 10x⁴ - 22x³

Factor out the GCF (2x³)

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Since there are no values whose product is -11 and sum is +5, this cannot be factored further.

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3 years ago
bag contains 15 marbles numbered from 1 to 15. Two marbles are selected from the bag at the same time. Let event E = the two num
lbvjy [14]
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3 years ago
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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.
Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

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                                       x+DB = 3

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Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

BC^{2} = DB^{2} +CD^{2}

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BC^{2} =(3-x)^{2} +2

Since given AD=BC,let us plugin BC=x in above step.

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Let us apply Pythagoras theorem for ΔACD

AC^{2} =AD^{2} +DC^{2}

AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}

AC^{2} =\frac{193}{36}

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