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2 years ago

What is the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6

1 answer:

5 0

3x-2y=-6
2y = 3x + 6
y = 3/2x + 3 so slope = 3/2
parallel lines have same slope, also has slope = 3/2

passes through (4,2)
y = mx + b
2 = 3/2(4) + b
2 = 6 + b
b = -4

equation
y = 3/2x - 4

standard form
3x - 2y = 8

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Anettt [7]

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Step-by-step explanation:

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3 years ago

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tigry1 [53]

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3 years ago

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Ilya [14]

Answer:

13.8

Step-by-step explanation:

Recall the trigonometric ratios

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now lets look back at the question

We are given an angle and its adjacent side length (11) and we need to find the hypotenuse

The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x

( remember that cosine = adjacent over hypotenuse )

$cos(37)=\frac{11}{x}$

step 1 multiply each side by x

$cos(37)*x=xcos(37)\\\frac{11}{x} *x=11$

now we have $xcos(37)=11$

step 2 divide each side by cos(37)

$\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\$

we're left with x = 13.77439

Our last step would be to round to the nearest tenth

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2 years ago

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Step-by-step explanation:

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2 years ago

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hodyreva [135]

Answer:

Step-by-step explanation:

the length of segment AD would be 8 since segment AD and segment WZ are equal in length!

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2 years ago