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Karo-lina-s [1.5K]
2 years ago
8

What is the equation of the line that passes through the point (-4, 2) and has a slope of -2?

Mathematics
1 answer:
sammy [17]2 years ago
4 0

Answer:

y-2 = -2(x+4)

or

y = -2x-6

Step-by-step explanation:

We can use the point slope form of a line

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y - 2 = -2(x- -4)

y-2 = -2(x+4)

If we want the equation in slope intercept form

Distribute

y-2 = -2x-8

Add 2 to each side

y-2+2 = -2x-8+2

y = -2x-6

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A rectangular tank has length 75mm, width 65mm and height 45mm. Calculate the total area surface of the tank when it is closed
kolezko [41]
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22350 cubic mm

Step by step:

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5 0
3 years ago
3x
mel-nik [20]

Answer:

x = 25°

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6 0
3 years ago
1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving
Monica [59]

Answer:

Below.

Step-by-step explanation:

I'll  write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs  = 1 + s - c + c + cs - c^2

s  + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

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- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

6 0
3 years ago
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