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Leto [7]
3 years ago
12

7. Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

Answer:

Step-by-step explanation:

Let the first term is n, then the second term must be an where a is a common ratio, and the third term is a^2 n

so, n + an = 24

n + an + a^2 n = 26

solve for a, then solve for n

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Simplify the expression x^2+x-2/8x^2+4x/3x^2+10x+8
irina [24]

Answer:

Step-by-step explanation:

x² + x  - 2 = x² - x +2x -2 = x(x - 1) + 2*(x-1)  = (x-1)(x+2)

8x² + 4x = 4x ( 2x + 1)

3x² + 10x + 8 = 3x² + 6x + 4x + 4*2  =3x  * (x + 2) + 4 * ( x + 2) = (x + 2)(3x + 4)

6 0
3 years ago
!!ASAP!! !!HELP!!<br> pls help. iv been trying to do this for 3 days. please.
Jet001 [13]

Answer:

Three equivalent expressions are -3(5-2x), 6x-15, and 3(2x-5).

Step-by-step explanation:

They are equivalent because they equal the same value for x and make the same answer.

6 0
2 years ago
Liquid Tylenol has 325 milligrams of acetaminophen per 12.5 milliliters of liquid medicine (a fact that would be commonly abbrev
gulaghasi [49]

Answer:

10 milliliters

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260 mg/ 325 mg = x ml / 12.5 ml

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7 0
3 years ago
The current temperature is 20 degrees. This is 6 degrees less than twice the temperature that it was 6 hours ago. What was the t
mestny [16]
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5 0
3 years ago
The right triangle shown has angles X, Y, and Z and side lengths a, b, and
laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
3 years ago
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