what is the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).

Mathematics

1 answer:

ioda3 years ago

7 0

Answer:

The equation of the line would be y + 4 = -1/8(x + 6)

Step-by-step explanation:

To find the point-slope form of the line, start by finding the slope. You can do this using the slope formula below along with the two points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - -5)/(-6 - 2)

m = 1/-8

m = -1/8

Now that we have the slope, we can use that along with one of the points in the base form of point-slope.

y - y1 = m(x - x1)

y + 4 = -1/8(x + 6)

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yaroslaw [1]

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3 years ago

A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear

snow_tiger [21]

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

6 0

3 years ago

Convert base 10 273 to a base 12

Margaret [11]

The highest power of 12 that divides 273 (with remainder) is $12^2=144$ , and dividing gives

$273=1(144)+129$

Divide the remainder term by the next highest power of 12, $12^1=12$ .

$129=10(12)+9$

So $273_{10}=1a9_{12}$ , since

$273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0$