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3 years ago

Write an equation in standard form for the line that has slope 1/3 and passes through (-2, 8)

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

6 0

Answer:

Step-by-step explanation:

The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:

y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8) ⇒ x₁ = -2, y₁ = 8

Therefore, the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃ {multiply both sides by 3}

3y - 24 = x + 2 {subtract x from both sides}

-x + 3y - 24 = 2 {add 24 to both sides}

-x + 3y = 26

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4 years ago

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Jenny has four apples and divides 16

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1 year ago

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4 years ago

A speedometer has a percent error of 10%. The actual speed of the car is 40 mph. Select from the drop-down menus to correctly co

rodikova [14]

Answer

The speedometer is likely to show the speed is either 36.0 mph or 44.0 mph.

To prove

Formula

$Percentage\ error = \frac{error\times 100}{Exact\ value}$

Where error = |Approx value - Exact value |

First case

As given

A speedometer has a percent error of 10%. The actual speed of the car is 40 mph.

Here

Percentage error = 10%

Exact value = 40 mph

error = - (Approx value - Exact value )

= - (Approx value - 40 )

= - Approx value + 40

Put in the formula

$10 = \frac{(-Approx\ value + 40)\times 100}{40}$

$400 = {(-Approx\ value + 40)\times 100}$

$\frac{400}{100} =-Approx\ value + 40$

$\4 =-Approx\ value + 40$

Thus

Approx value = 40 - 4

Approx value = 36 mph

Therefore Option (b) is correct .

Second Case

error = (Approx value - Exact value )

= (Approx value - 40 )

= Approx value - 40

Put in the formula

$10 = \frac{(Approx\ value - 40)\times 100}{40}$

$400 = {(Approx\ value - 40)\times 100}$

$\frac{400}{100} = Approx\ value - 40$

$\4 = Approx\ value - 40$

Thus

Approx value = 40 + 4

Approx value = 44 mph

Therefore Option (c) is correct .

4 0

3 years ago