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Butoxors [25]
3 years ago
6

Pleaaseeee help me :/

Mathematics
1 answer:
Sav [38]3 years ago
8 0
Hello,

\sqrt{x} - \sqrt{y} = (\sqrt[4]{x}+ \sqrt[4]{y} )( \sqrt[4]{x} - \sqrt[4]{y} )=72\\\\
\sqrt[4]{x}- \sqrt[4]{y}=6\\\\
(\sqrt[4]{x}+ \sqrt[4]{y})*6=72\\\\
\sqrt[4]{x}+ \sqrt[4]{y}=12 \\ 
\sqrt[4]{x}- \sqrt[4]{y}=6 \\\\
2 \sqrt[4]{x}=18==\textgreater\sqrt[4]{x}=9==\textgreater\ x=6561\\
2 \sqrt[4]{y}=6==\textgreater\sqrt[4]{y}=3==\textgreater\ y=81\\



Proof:
\sqrt[4]{6561} - \sqrt[4]{81} =9-3=6\\\\
 \sqrt{6561} - \sqrt{81} =81-9=72
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The graph shows how the distance an object traveled changed over time.
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I believe the correct answer from the choices listed above is option D. The points where the object is traveling at the greatest speed would be <span>between points A and B because that slope is the steepest. The slope of this graph indicates speed since it will have the units of distance per time. The steeper the line is , the greater the value of the slope which would mean faster speed.</span>
4 0
4 years ago
Richard is seven years older than Lilia. In ten years, the sum of their ages will be 51. How old is Richard now?
Vladimir79 [104]

Answer

19

Step-by-step explanation:

For this example, R = Richard and L = Lilia. You'll need to set up a system of equations with the information that the problem gives you.

R = L + 7

(R+10) + (L+10) = 51

Use the substitution method so that you only have one variable in the equation. The first equation tells you that R is the same as L+7, so put L+7 instead of R everywhere you see R in the second equation.

[(L+7) + 10) + (L+10) = 51

L + 7 + 10 + L + 10 = 51

Combine like terms.

2L + 27 = 51

Isolate the variable by subtracting first, then dividing.

2L + 27 - 27 = 51 - 27

2L = 24

2L/2 = 24/2

L = 12

You just solved for L (Lilia's age). Don't forget that you're trying to find R (Richard's age), so plug your L number into the first equation.

R = L + 7

R = 12 + 7

R = 19

Check your answer by plugging your solutions (R and L) into the second equation and see if it's true.

(R+10) + (L+10) = 51

(19+10) + (12+10) = 51

29 + 22 = 51

51 = 51  is true.


6 0
4 years ago
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
nordsb [41]

Answer:

20/3 ft/sec

Step-by-step explanation:

As given the diagram (attached),

x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole.

I assume that the man and the pole are upright, meaning the 2 triangles are identical.

By similar triangles, we will get

15/y = 6/(y-x)

Triangles are similar if they have the same shape, but can be different sizes. In our case, triangles are in similar shape but in different sizes

15 (y-x) = 6y

15y-15x=6y

9y=15x

y=5/3 x

As we need to find rate of change (How fast), differentiate both sides with respect to  time t. we get

dy/dt = 5/3 dx/dt

As we have given that the man is walking from the with a speed to 4ft/s  

so dx/dt = 4, So, we need to find dy/dt (How fast the tip of shadow moving)

dy/dt = 5/3 *4

dy/dt = 20/3 or 6.666 ft/sec

In this case, the man's distance from the pole doesn't matter, because only his velocity influences how quickly his shadow goes.

5 0
3 years ago
45.36482 rounds to the neatest thousandths
Pani-rosa [81]

Answer:

45.365

Step-by-step explanation:

~~~~~~~~~~~~~~

3 0
4 years ago
Write the equation in standard form.<br> x2 + 6 = 5x
Dvinal [7]

Answer:

Step-by-step explanation:

x2 + 6 = 5x

2x-5x = -6

3x = -6

x = -6/3

x = -2

6 0
3 years ago
Read 2 more answers
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