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butalik [34]
3 years ago
11

Solve the problem 1/4(2x -14)=4

Mathematics
2 answers:
I am Lyosha [343]3 years ago
5 0
Multiplying by 4, we get 2x-14=16.  Adding 14, we get 2x=30, and dividing by 2, we see that x=15.
zalisa [80]3 years ago
3 0
1/4(2x - 14) = 4

Divide by 1/4. (dividing by a fraction = multiplying by its reciprocal, so ÷1/4 = ×4)

2x - 14 = 16

Add 14 to each side.

2x = 30

Divide by 2.

x = 15
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Delvig [45]

Answer:

\large\boxed{\log_6\dfrac{1}{36}=-2}

Step-by-step explanation:

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\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}

8 0
3 years ago
Prime factorization of 25
Dafna11 [192]
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Step-by-step explanation:

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Find the length of side x in simplest radical form with a rational denominator.
zloy xaker [14]

Answer: 10

Step-by-step explanation:

a 30° - 60° - 90° triangle has a side ratio of 1:√3: 2, meaning the side length across from the 30° is 1, the side length across from 60° is √3, and the side length across from 90° is 2

if you multiple the 1 * 5 = 5 (the 5 side length in the diagram), then also multiple (5 * √3 = 5√3) and (2 * 5 = 10)

since you're looking for the hypotenuse (the length across the 90°), the answer would be 10 (2 * 5 = 10)

*this method can work for any 30° - 60° - 90° triangle

you can also use trig:

sin (30°) = \frac{5}{x} (now just solve for x)

x * sin (30°) = 5

x = \frac{5}{sin(30)}

x = \frac{5}{1/2} ( because sin (30°) = 1/2 )

x = 5 * \frac{2}{1} = 10

*either method works!

7 0
2 years ago
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