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WARRIOR [948]
3 years ago
9

PLEASE HELP!

Mathematics
2 answers:
Grace [21]3 years ago
6 0

c. 15 cm is your answer

skad [1K]3 years ago
5 0

the length of z is C. 15 cm

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The penguin nursery is open two times a day: 2/3 hour at noon and 5/12 hour in the afternoon. How much time is the penguin nurse
Molodets [167]

Answer: The answer is 1\dfrac{1}{12}~\textup{hours}.

Step-by-step explanation: Given that the penguin nursery is open two times in a day, where the number of hours open at the noon and afternoon are respectively given by

t_n=\dfrac{2}{3}~\textup{hour},\\\\t_a=\dfrac{5}{12}~\textup{hour}.

Therefore, the total number of hours 't' penguin nursery open every day is given by

t=t_n+t_a=\dfrac{2}{3}+\dfrac{5}{12}=\dfrac{8+5}{12}=\dfrac{13}{12}=1\dfrac{1}{12}~\textup{hour}.

Thus, the answer is

1\dfrac{1}{12}~\textup{hours}.

5 0
3 years ago
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Lindsay got her hair cut. The cost of a haircut
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16 x .20 add the .20 value for the total price
8 0
2 years ago
Factor completely: 2x4 − 32.
vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

Step-by-step explanation:

Given expression is 2x^4-32

To find the completed factor for the given expression:

2x^4-32:

Taking the common number "2" outside  to the above expression we get

2x^4-32=2(x^4-16)

Now rewritting the above  expression as below

=2(x^4-2^4)  (since 16 can be written as the number 2 to the power of 4)

=2((x^2)^2-(2^2)^2)

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x^2 and  b=2^2

Therefore it becomes

=2(x^2+2^2)(x^2-2^2)

=2(x^2+4)(x^2-2^2)  

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x and  b=2

Therefore it becomes

=2(x^2+4)(x+2)(x-2)  

=2(x+2)(x-2)(x^2+4)  

Therefore =2(x+2)(x-2)(x^2+4)  

2x^4-32=2(x-2)(x+2)(x^2+4)  

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

3 0
3 years ago
Read 2 more answers
Thanos is convinced that (x+y+3)^2=x^2+y^2+9. Explain why he is incorrect. Draw a box diagram to prove your statement.
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3 years ago
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What is the solution of √x-5 = x-11
PIT_PIT [208]
Hey!


To solve x in this equation we must first add five to both sides to get \sqrt{x} on its own.

<em>Original Equation :</em>
\sqrt{x} - 5 = x - 11

<em>New Equation {Added 5 to Both Sides} :</em>
\sqrt{x} =x-6

Now we must square both sides of the equation.

<em>Old Equation :</em>
\sqrt{x} =x-6

<em>New Equation {Changed by Squaring Both Sides} :</em>
x= x^{2} -12x+36

And now we must solve the new equation.

Step 1 - Switch sides
x^{2} -12x+36=x

Step 2 - Subtract x from both sides
x^{2} -12x+36-x=x-x

Step 3 - Simplify
x^{2} -13x+36=0

Now we need to solve the rest of the equation using the quadratic formula.

\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}

{13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}

\frac{13+ \sqrt{25}}{2}

\sqrt{25}=5

\frac{13+5}{2}

\frac{18}{2}

9

\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}

4

<em>So, this means that in the equation \sqrt{x} -5=x-11,</em>  x = 9  <em>and  </em>x = 4.

Hope this helps!


- Lindsey Frazier ♥
4 0
2 years ago
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