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I am Lyosha [343]
1 year ago
12

Insert 2 geometric means between -32 and 4

Mathematics
1 answer:
denis23 [38]1 year ago
6 0

Answer:

16, -8

Step-by-step explanation:

Let the terms of the geometric sequence be a, ar, ar^2, ar^3.

We know that a=-32 and thus, -32r^3=4 \implies r=-1/2.

This means ar=(-32)(-1/2)=16 and ar^2=-32(1/2)^2=-8.

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
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Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
8 0
3 years ago
5/2.35 = 12/x<br><br> what does x =
Maksim231197 [3]

Step-by-step explanation:

  5       =     12          Cross multiply

2.35             x

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x = 5.64

<h3><u><em>Hope this helps!!!</em></u></h3><h3><u><em>Please mark as brainliest!!!</em></u></h3>
5 0
3 years ago
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BabaBlast [244]

Answer:

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Step-by-step explanation:

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elena-14-01-66 [18.8K]
Answer is HL

YZ = YZ
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<span>if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent</span>
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