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Lilit [14]
3 years ago
13

One number is 4 for less than a second number. twice the second number is 19 more than three times the first. Find the two numbe

rs
Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer:


Step-by-step explanation:

first number = x

second number = y

x = y - 4

2y = 3x + 19

substitute x to the second equation

2y = 3(y-4) - 4

2y = 3y -16

-y = -16

y = 16

Go back to first equation

x = y - 4

x = 16 - 4

x = 12

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Walter has 1/4 of a yard of string. He used 3/5 of it on a school project. How much string did he use?
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Answer:

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Step-by-step explanation:

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3 years ago
Find the measure of the indicated angle to the nearest degree. Thanks.
Sholpan [36]

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

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θ = \text{tan}^{-1}(\frac{19}{23})

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5 0
3 years ago
2x(x - 3) + 7(x - 3)<br> Can I have an explanation on how it works factors
Nimfa-mama [501]

Answer:

Step-by-step explanation:

2x(x - 3) + 7(x - 3)

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reduce

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2x^2 + x - 21 = 0

factored:

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How that was done:

Divide the (2x^2) into (2x) and (x).

Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).  

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