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Luba_88 [7]
3 years ago
12

Index laws for zeros. Can anyone help me?

Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0
I hope this helps you

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The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b
masha68 [24]

Answer:

The fraction is \frac{4}{6}

Option (B) is correct.

3n-2d=0  and 4n+8=3d+6

Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is \frac{n}{d}=\frac{2}{3}

Cross multiply , we get,

3n=2d

Or, 3n-2d=0   ........(1)

Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4

That is \frac{n+2}{d+2}=\frac{3}{4}

Cross multiply , We get,

4{n+2}={3}{d+2}

4n+8=3d+6  .........(2)

3d-4n=2  .......(3)

Thus, from (1) and (2) , option (B) follows.

Solving equation (1) and (3) to get the original fraction using elimination method,

3n - 2d = 0    ............(1)

and 3d - 4n = 2       .........(3)

Multiply equation (1) by 3 , we get ,

9n - 6d = 0  ..........(4)

Multiply equation (3) by 2 , we get ,

-8n + 6d = 4 ..........(5)

Adding (4) and  (5) , we get,

9n - 6d -8n + 6d = 4 + 0

⇒ n = 4

Put n = 4 in (1), we get

3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0  ⇒  12 = 2d ⇒ d = 6

so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


6 0
3 years ago
What is the quadratic. Formula?
balu736 [363]

Answer:

x =   \frac{ - b   ± \sqrt{ {b }^{2}  -  4ac } }{2a}

Step-by-step explanation:

For example, we'll use this quadratic equation.

{x}^{2}  + 5x + 6

To understand how to plug it into the formula we need to know what each term represents.

a {x}^{2}  + bx + c

So the equation above would be put into the formula like this.

x =  \frac{ - 5± \sqrt{ {5}^{2}  -  4(1)(6) } }{2(1)}

Then we would solve

\frac{ - 5± \sqrt{25 - 24} }{2}  \\ \\  =  \frac{ -5±1}{2}

Now, the equation will branch off into one that solves when addition and one when subtraction.

\frac{ - 5 + 1}{2}  =  \frac{ - 4}{2}  =  - 2 \\  \\   \frac{ - 5 - 1}{2}  =  \frac{ - 6}{2}  =  - 3

So x={-3, -2} (-3 and -2)

6 0
3 years ago
What is 1/4 equal to?
zysi [14]
There are many answer:
1/4 is equal to 25%, .25 , 2/8 on so on. Hope this helps
6 0
3 years ago
Read 2 more answers
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Usimov [2.4K]

Answer: the answer is Triangles BCP and CDP are condruent


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segme
Arisa [49]

Step-by-step explanation:

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

3 0
2 years ago
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