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dybincka [34]
3 years ago
5

Not sure how to solve 2sinxcosx+cosx=0  Could you help?

Mathematics
1 answer:
kaheart [24]3 years ago
6 0
2sinxcosx+cosx=0\\\\cosx(2sinx+1)=0\iff cosx=0\ \vee\ 2sinx+1=0\\\\cosx=0\ \vee\ 2sinx=-1\ /:2\\\\cosx=0\ \vee\ sinx=-\frac{1}{2}\\\\x=\frac{\pi}{2}+k\pi\ \vee\ x=-\frac{\pi}{6}+2k\pi\ \vee\ x=\frac{7\pi}{6}+2k\pi\ to\ k\in\mathbb{Z}
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The midpoint of the line segment from P1 to P2 is (-6,5). If P1 = (-7,8), what is P2?
kipiarov [429]
You can determine midpoint by
x-midpoint = (x₁ + x₂)/2
y-midpoint = (y₁ + y₂)/2

Given from the question
x-midpoint = -6
x₁ = -7
y-midpoint = 5
y₁ = 8

Asked from the question
(x₂, y₂)

Solution
Find x₂, input the value of x₁ and x-midpoint to the formula
(x₁ + x₂)/2 = x-midpoint
(-7 + x₂)/2 = -6
-7 + x₂ = -6 × 2
-7 + x₂ = -12
x₂ = -12 + 7
x₂ = -5

Find y₂, input the value of y₁ and y-midpoint to the formula
(y₁ + y₂)/2 = 5
(8 + y₂)/2 = 5
8 + y₂ = 5 × 2
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2

Answer
P₂ = (-5,2)
5 0
2 years ago
Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2
anzhelika [568]
--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c

--------------------------------------------------------------
Find y-intercept 
--------------------------------------------------------------
y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2 
c = 7/2

--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
--------------------------------------------------------------
y = 1/2 x + 7/2
2y = x + 7

--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------
3 0
2 years ago
I need help! operations with mixed numbers
solmaris [256]

Answer:

your answer is (B) 2 2/9

I hope it's helps you

8 0
3 years ago
Which expression shows the prime factorization of 20?
Firlakuza [10]
The expression that lists all numbers in prime numbers would be A. All numbers here are prime numbers, and is in the simplified form, the remaining choices are not in their simplified forms and can be broken down into smaller numbers that multiply to give their value.
5 0
3 years ago
Simplify 18 - 2[x + (x - 5)]. please i keep getting it wrong
Juli2301 [7.4K]
18-2[x+(x-5)]
18-2[2x-5]
18-4x+10
28-4x
-7+x  or x-7  <-- Simplified version.
x=7      <-- What x equals.

8 0
3 years ago
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