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mixer [17]
2 years ago
15

For what value of x is sq 896z^15/225z^6 = xz^4/15

Mathematics
1 answer:
Ratling [72]2 years ago
5 0

Answer:

Value of x is, 8

Step-by-step explanation:

Given:  \sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z} ,.....[1]

To find the value of x:

Using exponent rules:

  • (a^n)^m = a^{nm}
  • a^n \cdot a^m = a^{n+m}

Taking square both sides in [1] we have;

\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)

Simplify:

\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)

or

\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}

Multiply both sides by \frac{225}{14z^9} we get;

x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}

Simplify:

x^2 = \frac{896 z^{15}}{14 z^{15}} = 64

or

x = \sqrt{64}

Simplify:

x = 8

Therefore, the value of x is, 8


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Help it’s urgent please
Anon25 [30]

Answer:

\frac{5 {x}^{2}  + 20xy + 20 {y}^{2} }{x ^{2} - xy -  {6y}^{2}  }

To simplify first factorize both the numerator and the denominator

For the numerator

5x² + 20xy + 20y²

Factor 5 out

5 ( x² + 4xy + 4y²)

Using a² + 2ab + b² = ( a + b)²

The numerator is

5( x + 2y)²

For the denominator

x² - xy - 6y²

Rewrite -xy as a difference

x² + 2xy - 3xy - 6y²

Factorize

We have the denominator as

( x + 2y)( x - 3y)

So we now have

<h2>\frac{5(x + 2y)(x + 2y)}{(x + 2y)(x - 3y)}</h2>

Simplify

<h2>\frac{5(x + 2y)}{x - 3y}</h2>

We have the final answer as

<h2>\frac{5x + 10y}{x - 3y}</h2>

Hope this helps you

8 0
3 years ago
Maria and Katy have string Maria's is 6 cm longer that Katy's. When they put both of the strings together the total is 84 How lo
butalik [34]

Answer:

Maria's string is 45 cm long and Katy's string is 39 cm long

Step-by-step explanation:

Let's call the size of Maria's string X, and the size of Katy's string Y.

So, using the information from the problem, we can formulate a system of equations:

If Maria's string is 6 cm longer than Katy's, so:

X = Y + 6

If the strings together have 84 cm, so:

X + Y = 84

The first equation can be rewritten as X - Y = 6

Summing up both equation, we have that:

2X = 90

X = 45

Using X value in the first equation, we have that:

45 = Y + 6

Y = 39

So, Maria's string is 45 cm long and Katy's string is 39 cm long

7 0
3 years ago
Whats the answer and how do you work it out?<br>5/12-1/4​
Sergio [31]

Answer:

\frac{5}{12}  -  \frac{1}{4}  \frac{ \times }{ \times }  \frac{3}{ 3 }  \\  \frac{5}{12}  -  \frac{3}{12}  \\  =  \frac{2}{12}  =  \frac{1}{6}

4 0
3 years ago
Read 2 more answers
PLEASE HELP GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)
Mekhanik [1.2K]
Short Answers:

Answer for part A: Given
Answer for part B: Angle A = Angle D (not sure why this isn't in word bank?)
Answer for part C: ASA
Answer for part D: BC = EF
Answer for part E: CPCTC

-------------------------------------------------------------

Explanations:

Part A:

AB = DE is given at the very top of the problem. So we simply say "given". We always repeat what we are given at the very start of the proof. You can see this for lines 1 through 3, which are repeating the three givens. 

---------------------

Part B:

The three givens are:
AB = DE
angle A = angle D
angle B = angle E
the first and last of this trio is used (for statements 1 and 3 respectively). So the only thing left is "angle A = angle D"

---------------------

Part C:

We're using ASA (angle side angle) because we're given two pairs of congruent angles. The side for each triangle is between the two angles. See the attached diagram for more info.

---------------------

Part D:

For any proof, you will ALWAYS have the last statement be the thing you want to prove. In this case, we want to prove BC = EF. 

---------------------

Part E:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

If the two whole triangles are congruent, then the smaller corresponding parts that make up the triangles must be congruent as well.

5 0
3 years ago
If P is the circumcenter △ A B C, and AD =3x - 11, DB =5x - 29, PC =18, find DP.
Basile [38]

Answer:

15.6

Step-by-step explanation:

5 0
2 years ago
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