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Romashka [77]
3 years ago
14

Complete equation of the line through (1,4) and (2,2)

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1)  / (x 2 - x 1)  = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

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Solve for X-4 1/6 = 9 1/3
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Answer:

  13 1/2

Step-by-step explanation:

X-4 1/6 = 9 1/3

Add 4 1/6 to each side

X-4 1/6+ 4 1/6 = 9 1/3 + 4 1/6

x = 9 1/3 + 4 1/6

  = 9 2/6 + 4 1/6

   13 3/6

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5 0
3 years ago
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Step-by-step explanation:

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A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?
a_sh-v [17]

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

A = \pi r^{2}

Where:

r: is the radius

For the 12-inch pizza we have:

A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch

And for the 6-inch pizza we have:

A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch

The ratio between A₆ and A₁₂ is:

\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}

Hence:

A_{6} = \frac{A_{12}}{4}

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!            

4 0
3 years ago
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