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rjkz [21]
3 years ago
8

Which of the following is the equation of a line perpendicular to the line y=-3/2x+4 passing through the points (3,9)

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0
<span>Y-y1=m(x-x1) 

Y-9 =2/3 (x-3) 

Y-9=(2/3)x - 2 

Y=(2/3)x + 7 

Heres some formulas...</span>
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If csc ( x ) = 4, for 90 ∘ &lt; x &lt; 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

5 0
2 years ago
Please help! What’s the greatest common factor?? (#10)
pshichka [43]
(x-1) (x + 2) • 3

factor the polynomial...

Polynomial - an algebraic expression consisting of one or more some terms each term consider consisting of a constant multiple and one or more variables raised to integral powers
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The table shows values for functions f(x) and g(x) .
Rama09 [41]

Answer:

x=-1 and x=1

Step-by-step explanation:

all you have to do is replace the letters with numbers and

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3 years ago
Geometry help will give brainliest
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6x + 4x + 10 = 180
10x = 170
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mCA = 4(17) + 10 = 68 + 10 = 78

Answer:
mCA = 78°
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3 years ago
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