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kow [346]
3 years ago
13

Solve the equation (0°≤A≤360°)a) √3sinA-cosA=√2​

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

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Write an equation to find the value of x+1 and x+4
Nutka1998 [239]

Answer:

2x + 5

Step-by-step explanation:

If I take your problem statement literally, you want to ADD x + 1 and x + 4.

That's what "and" means in this context.

Adding x + 1 and x + 4 results in 2x + 5 (answer)

5 0
4 years ago
Y varies directly as x and k = 5 <br> Y=kx<br><br>Find y when x = 5​
SpyIntel [72]

Answer:

y = 25

Step-by-step explanation:

Given y = kx and k = 5 then

y = 5x ← equation of variation

When x = 5 , then

y = 5 × 5 = 25

5 0
3 years ago
Find all the points if any where y-4x=12 intersects 2-y=2(x+2)^2
Stells [14]

Answer:

B

Step-by-step explanation:

given the 2 equations

y - 4x = 12 → (1)

2 - y = 2(x + 2)² → (2)

rearrange (1) expressing y in terms of x

y = 12 + 4x

Simplify (2) by expanding factor and substituting y = 12 + 4x

2 - (12 + 4x) = 2(x² + 4x + 4)

2 - 12 - 4x = 2x² + 8x + 8

- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form

add 10  + 4x to both sides

2x² + 12x + 18 = 0 ← in standard form

divide through by 2

x² + 6x + 9 = 0

(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3

Point of intersection = (- 3, 0 ) → B



4 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!
Yanka [14]
Coordinate of red point = (8, -5)

In short, Your Answer would be Option D

Hope this helps!
4 0
4 years ago
Read 2 more answers
Simplify 3(a+4b)=3a+12b
MAXImum [283]

Step-by-step explanation:

3(a+4b)

3×a+3×4b=3a+12b

3a+12b=3a+12b

7 0
3 years ago
Read 2 more answers
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