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3 years ago

John Matthew has $50 in his savings. Each week he spends $4 on snacks during lunch. Write the equation for this. y=mx+8

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

8 0

Matthew has $50 in his saving, and his saving = y, y = 50

He spends $4 (the m) on snacks each time

50 = 4x + 8

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 8 from both sides

50 (-8) = 4x + 8 (-8)

42 = 4x

Divide 4 from both sides

(42)/4 = (4x)/4

x = (42)/4

x = 10.5

John Matthew buys 10 snacks (since he cannot buy 1/2 a snack)

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Step-by-step explanation:

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Using the midpoint formula we'll get:

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Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

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

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

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

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in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

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$(x-7)^2+(y-5)^2=1$

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