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natka813 [3]
3 years ago
12

Solve 2 + 1/6y = 3x + 4 for y.

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0
The answer is y=18x+12
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Find all points on the x-axis that are 14 units from the point (4, -7).
BaLLatris [955]

Answer:

The points are: (16.12,0),(-8.12,0).

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

Distance between two points:

Suppose we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Find all points on the x-axis that are 14 units from the point (4, -7).

Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).

The distance is 14. So

\sqrt{(x-4)^2+(0-(-7))^2} = 14

\sqrt{x^2 - 8x + 16 + 49} = 14

\sqrt{x^2 - 8x + 65} = 14

(\sqrt{x^2 - 8x + 65})^2 = 14^2

x^2 - 8x + 65 - 196 = 0

x^2 - 8x - 131 = 0

So a = 1, b = -8, c = -131

\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588

x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12

x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12

The points are: (16.12,0),(-8.12,0).

4 0
2 years ago
Solve 18 > 12 + x. Graph the solution.
telo118 [61]

Answer:

I have attached a screenshot of your inequality graphed. Credit to Desmos.

3 0
2 years ago
Please help me!!!! <br> It is about linear function equations
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Y=5x-3; what is:
y=5x+(-3)
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3 years ago
What are the truth values of Q b ~R
yanalaym [24]

Step-by-step explanation:

___is the capacity to influence

behaviour

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b. Coercion

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= Power___is the capacity to influence

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6 0
3 years ago
a garden patio is covered with grey slabs and yellow slabs. 1/5 is grey. 1/4 is yellow. there’s 55 slabs in total. what is the n
Lubov Fominskaja [6]
1/4 of 55 would be 13.75 can the answer be a decimal
7 0
3 years ago
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