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4 years ago

4-2(1-w) =-38solve and plug back in step by step

Mathematics

1 answer:

vodka [1.7K]4 years ago

6 0

Answer:

w = -20

Step-by-step explanation:

Solve for w:

4 - 2 (1 - w) = -38

Hint: | Distribute -2 over 1 - w.

-2 (1 - w) = 2 w - 2:

2 w - 2 + 4 = -38

Hint: | Group like terms in 2 w - 2 + 4.

Grouping like terms, 2 w - 2 + 4 = 2 w + (4 - 2):

2 w + (4 - 2) = -38

Hint: | Evaluate 4 - 2.

4 - 2 = 2:

2 w + 2 = -38

Hint: | Isolate terms with w to the left hand side.

Subtract 2 from both sides:

2 w + (2 - 2) = -2 - 38

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

2 w = -2 - 38

Hint: | Evaluate -2 - 38.

-2 - 38 = -40:

2 w = -40

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 w = -40 by 2:

(2 w)/2 = (-40)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

w = (-40)/2

Hint: | Reduce (-40)/2 to lowest terms. Start by finding the GCD of -40 and 2.

The gcd of -40 and 2 is 2, so (-40)/2 = (2 (-20))/(2×1) = 2/2×-20 = -20:

Answer: w = -20

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Step-by-step explanation:

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3 years ago

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Answer:

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$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

$(x-h)^2+(y-k)^2=r^2$

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

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therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

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Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

$(x-h)^2+(y-k)^2=r^2$

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on simplification is

$x^{2} +y^{2}+4 x-1=0$

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3 years ago

4-2(1-w) =-38solve and plug back in step by step​

4-2(1-w) =-38solve and plug back in step by step