Step-by-step explanation:
<h2>1)3.25x + -1.5y = 1.25</h2>
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.5y' to each side of the equation.
3.25x + -1.5y + 1.5y = 1.25 + 1.5y
Combine like terms: -1.5y + 1.5y = 0.0
3.25x + 0.0 = 1.25 + 1.5y
3.25x = 1.25 + 1.5y
<h2>2)13x-6y=10</h2>
13x + -6y = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
13x + -6y + 6y = 10 + 6y
Combine like terms: -6y + 6y = 0
13x + 0 = 10 + 6y
13x = 10 + 6y
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<h2>
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Answer: y-4=-3(x+4) or y=-3x-8
Step-by-step explanation:
To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).
y-4=-3(x-(-4)) [multiply]
y-4=-3(x+4)
Another equation could be slope-intercept form. It is y=mx+b.
y-4=-3(x+4) [distribute]
y-4=-3x-12 [add both sides by 4]
y=-3x-8
Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).
Answer:
choice 3) 11,488.21 cm³
Step-by-step explanation:
r= 28/2 = 14
volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³