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Katena32 [7]
3 years ago
13

I need help with this please

Mathematics
2 answers:
kodGreya [7K]3 years ago
6 0
1/5(2x - 10) + 4x = -3(1/5x + 4)
0.4x - 2 + 4x = -0.6x - 12
4.4x - 2 = -0.6x - 12
5x - 2 = -12
5x = -10
x = -2
mario62 [17]3 years ago
4 0
\dfrac{1}{5} (2x - 10) + 4x = -3 ( \dfrac{1}{5}x + 4)

Apply distributive property to distribute 1/3 and -3:

\dfrac{2}{5} x -  2 + 4x = - \dfrac{3}{5}x - 12

Sort all the x to the left and the constants to the right:

\dfrac{2}{5} x + \dfrac{3}{5}x  + 4x = - 12 + 2

Simplify:

5x =  -10

Divide by 5:

x = -2


\boxed { \boxed {\text {Answer: x = -2}}}
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Cos s=-2/5 and sin t=4/5, s and t are in quadrant II<br> find cos(s+t) and cos(s-t)
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Answer:

•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25

•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25

cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗

sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5

5 0
3 years ago
Devaughn's age is three times Sydney's age. The sum of their ages is 84 . What is Sydney's age?
defon

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3 years ago
A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m.
Marina86 [1]

Answer:

θ=1.2 rad=68.7549°

Step-by-step explanation:

Given

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\text{Arc Length}=\text{Radius}\times \text{Angle Subtented(in rad)}

⇒

6= 5\times \text{O}\\

θ=\frac{6}{5} =1.2rad

Therefore θ=1.2 rad

(π rad= 180°)

Therefore 1.2 rad= 68.7549°

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