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2 years ago

Put the equation in standard form. y - 1 = -1/3 (x - 6)

Mathematics

1 answer:

Drupady [299]2 years ago

3 0

Answer:

x + 3y = 9

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 1 = - $\frac{1}{3}$ (x - 6)

Multiply through by 3 to clear the fraction

3y - 3 = - (x - 6) ← distribute parenthesis by - 1

3y - 3 = - x + 6 ( add x to both sides )

x + 3y - 3 = 6 ( add 3 to both sides )

x + 3y = 9 ← in standard form

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2 years ago

Using the order of operations, simplify the following numerical expression: 2 4[5(3-1)]

DiKsa [7]

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3 years ago

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10 months ago

The endpoints of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the Pentagon?

ryzh [129]

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2 years ago

And could someone please help me with this one please

Goshia [24]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (5, 2), thus

y = a(x - 5)² + 2

To find a substitute (4, - 3) into the equation

- 3 = a + 2 ⇒ a = - 3 - 2 = - 5

y = - 5(x - 5)² + 2 ← in vertex form

Expand (x - 5)² and distribute by - 5

y = - 5(x² - 10x + 25) + 2

= - 5x² + 50x - 125 + 2

= - 5x² + 50x - 123 ← in standard form

8 0

3 years ago