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3 years ago

Drag each tile to the correct location on the algebraic problem. Not all tiles will be used,

Mathematics

1 answer:

Tema [17]3 years ago

3 0

Answer/Step-by-step explanation:

4x - 7 = -2x + 12 (Given)

Add 2x to both sides

4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)

6x - 7 = 12 (Simplication)

Add 7 to both sides

6x - 7 + 7 = 12 + 7 (Addition property of equality)

6x = 19 (Simplification)

Divide both sides by 6

$\frac{6x}{6} = \frac{19}{6}$ (Division property of equality)

$x = \frac{19}{6}$

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Step-by-step explanation:

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2 years ago

Which is the equation of a circle that has a center of (-1, 3) and passes through the point (3, 6)?

tatiyna

Answer:

( x + 1)^2 + ( y - 3)^2 = 25

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( a , b) - center of the circle

( x , y) - any point on the circle

r^2 - radius

( -1 , 3) - ( center) - ( a, b)

a = -1

b = 3

( 3 , 6) - ( point) - ( x, y)

x = 3

y = 6

Step 1: substitute the center into the equation

( x -(-1)^2 + ( y - 3)^2 = r^2

( x + 1)^2 + ( y - 3)^2 = r^2

Step 2: sub the point into the equation

( x + 1)^2 + (y - 3)^2 = r^2

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Step 3: sub the radius into the equation

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Therefore, the equation of the circle is

( x + 1)^2 + (y - 3)^2 = 25

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3 years ago