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Gelneren [198K]
3 years ago
15

19 = 15 w- 4(3 w-1) solve for w

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Step-by-step explanation:

Simplifying

19 = 15w + -4(3w + -1)

Reorder the terms:

19 = 15w + -4(-1 + 3w)

19 = 15w + (-1 * -4 + 3w * -4)

19 = 15w + (4 + -12w)

Reorder the terms:

19 = 4 + 15w + -12w

Combine like terms: 15w + -12w = 3w

19 = 4 + 3w

Solving

19 = 4 + 3w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-3w' to each side of the equation.

19 + -3w = 4 + 3w + -3w

Combine like terms: 3w + -3w = 0

19 + -3w = 4 + 0

19 + -3w = 4

Add '-19' to each side of the equation.

19 + -19 + -3w = 4 + -19

Combine like terms: 19 + -19 = 0

0 + -3w = 4 + -19

-3w = 4 + -19

Combine like terms: 4 + -19 = -15

-3w = -15

Divide each side by '-3'.

w = 5

Simplifying

w = 5

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Firstly, we need to understand the formula of point-slope form:
y1 - y2 =m( x1 - x2)

Where x and y is the coordinates and m is the slope respectively.

To find the slope:
\frac{y1 - y2}{x1 - x2}
In this case:
\frac{5 - 4}{ - 3 - ( - 1)}  \\  =  \frac{1}{ - 3 + 1}  \\  =  -  \frac{1}{2}

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2

Therefore the answer is y = -1/2x+7/2.

Hope it helps!
8 0
3 years ago
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What is the value of n?
melamori03 [73]
The answer for this question that needs an answer is n = 5

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6 0
3 years ago
Find the regular price. Round to the nearest cent . Sales price is 56.78 percent discount is 40%
LenaWriter [7]

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Numerator is 3 and denominator is 5. So, we divide the sales price by 3 and we multiply by 5 to get the whole fraction, or 100%.

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Your regular price sounds recurring, so you might have made a mistake copying.

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2 years ago
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Answer:

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7 0
2 years ago
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given that sine theta = 0, and cosine theta is less than zero, find the exact values of the other two trig functions
vekshin1

Answer:

θ = π + periods of 2π

Sin (π + 2π) = 0

Cos (π + 2π) = -1

Tan (π + 2π) = 0

Step-by-step explanation:

Sin (θ)=0 implies that θ only can be 0 or π plus periods of 2π:

θ = 0+2π

θ = π+2π

For Cos(θ) the values only can be:

Cos (0+2π) = 1 and

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3 years ago
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