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Darya [45]
3 years ago
15

Find a equation for the following pattern! Help!!!

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

y = \frac{1}{2} x

Step-by-step explanation:

The equation of a linear pattern has the form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, \frac{1}{2} ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table

m = \frac{1-\frac{1}{2} }{2-1} = \frac{1}{2} , thus

y = \frac{1}{2} x + c ← is the partial equation

To find c use any ordered pair from the table and substitute into the partial equation.

Using (2, 1) , then

1 = 1 + c ⇒ c = 1 - 1 = 0

y = \frac{1}{2} x + 0 ← equation for pattern or quite simply

y = \frac{1}{2} x

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If bd = 7x-10, bc = 4x-29, and cd = 5x-9, find each value
Airida [17]

Answer:

bd=88, bc=27, cd=61

Step-by-step explanation:

In this problem we have that

bd=bc+cd

we have

bd=7x-10

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cd=5x-9

substitute the values and solve for x

7x-10=(4x-29)+(5x-9)

Group terms that contain the same variable in the right sides

7x-10=(4x+5x)+(-29-9)

Combine like terms in the right side

7x-10=9x-38

9x-7x=-10+38

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x=14

<u><em>Find the value of bd</em></u>

bd=7(14)-10=88

Find the value of bc

bc=4(14)-29=27

<u><em>Find the value of cd</em></u>

cd=5(14)-9=61

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