NEED HELP ITS A TEST!
Line n and point P are shown on the coordinate plane. What is the equation of the line parallel to line n that passes through point P?
A: y= 3x-6
B: y= 3x-6
C: y= 3x+12
D: y= -3x+3
Answers
Answer:
X = -2 - y/3
Step-by-step explanation:
First you need to know the current equation, for that:
Notice that when Y = 0, X = 2.
When Y = 6, X = 0
Therefore the equation is X = [tex]2-\frac{y}{3}[/tex]
To move that to the left of the X axis (negative direction) you just have to reduce the X number:
[tex]x=-2 - \frac{y}{3}[/tex]
Parallel lines have the same slope.
The required equation is: [tex]\mathbf{y = -3x - 6}[/tex]
The points on line n are:
[tex]\mathbf{(x,y) = (4,-6)(2,0)}[/tex]
So, the slope (m1) of line n is:
[tex]\mathbf{m_1 =\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
This gives
[tex]\mathbf{m_1 =\frac{0--6}{2 - 4}}[/tex]
[tex]\mathbf{m_1 =\frac{6}{-2 }}[/tex]
[tex]\mathbf{m_1 = -3}[/tex]
If the line is parallel to line n, then it has the same slope (m2) as line n.
So, we have:
[tex]\mathbf{m_2 = m_1 = -3}[/tex]
Point P is given as:
[tex]\mathbf{P = (-3,3)}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m_2(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = -3(x + 3) + 3}[/tex]
[tex]\mathbf{y = -3x - 9 + 3}[/tex]
[tex]\mathbf{y = -3x - 6}[/tex]
Hence, the required equation is: [tex]\mathbf{y = -3x - 6}[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
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Answers
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Prove the Identity:
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Show your work, thanks!
Answers
Answer:
Use properties:
cos(-θ) = cosθcos(θ + π) = - cosθsin²θ + cos²θ = 1Solution:
cosθ/(1 - sinθ) - (-cosθ)/(1 + sinθ) = cosθ([1/(a- sinθ) + 1/(1 + sinθ)] = cosθ[(1 + sinθ + 1 - sinθ)/(1 - sin²θ)] = cosθ(2/cos²θ) = 2/cosθProved
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{\dfrac{cos( - \theta)}{1 - sin \theta} - \dfrac{cos( \theta + \pi)}{1 + sin \theta} }[/tex][tex]\\[/tex]
[[tex]\tt{cos(-\theta)=cos\theta }[/tex] ]
[tex]\sf{\dfrac{cos \theta}{1 - sin \theta} - \dfrac{cos( \theta + \pi)}{1 + sin \theta}}[/tex][tex]\\[/tex]
[[tex]\tt{cos(\theta+\pi)=-cos\theta }[/tex] ]
[tex]\sf{\dfrac{cos \theta}{1 - sin \theta} - \dfrac{-cos\theta }{1 + sin \theta}}[/tex] [tex]\sf{\dfrac{cos \theta}{1 - sin \theta} + \dfrac{cos\theta }{1 + sin \theta}}[/tex][tex]\\[/tex]
[tex]\sf{cos\theta(\dfrac{1}{1-sin\theta}+\dfrac{1}{1+sin\theta} ) }[/tex][tex]\sf{cos\theta(\dfrac{1+sin\theta+1-sin\theta}{(1)^2-(sin\theta)^2 })}[/tex][tex]\sf{cos\theta(\dfrac{1\cancel{+sin\theta}+1\cancel{-sin\theta}}{(1)^2-(sin\theta)^2 })}[/tex][tex]\sf{cos\theta(\dfrac{2}{1-sin^2\theta })}[/tex][tex]\\[/tex]
[[tex]\tt{1-sin^2\theta=cos^2\theta }[/tex] ]
[tex]\sf{cos\theta(\dfrac{2}{cos^2\theta })}[/tex][tex]\sf{cos\theta(\dfrac{2}{cos\theta×cos\theta })}[/tex][tex]\sf{\cancel{cos\theta}×(\dfrac{2}{cos\theta×\cancel{cos\theta} })}[/tex][tex]\sf{\dfrac{2}{cos\theta} }[/tex][tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
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graph the equation using intercepts.
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT
Answers
the line with go from the y-intercept -10 to the x-intercept 8
step-by-step explanation:
5x - 4y = 40
x = 0
5(0) - 4y = 40
-4y = 40
/-4 /-4
y = -10
y = 0
5x - 4(0) = 40
5x = 40
/5 /5
x = 8
the line with go from the y-intercept -10 to the x-intercept 8
Which algebraic equation represents: “Three times the difference of x and 9 is 15”? A. 9x - 3 = 15 B. 3•9 - x = 15 C. 9 - 3x = 15 D. 3•(x - 9) = 15
Answers
Answer:
D. 3•(x - 9) = 15
Step-by-step explanation:
Three times the difference of x and 9 is 15
3 (x - 9) = 15
3(x - 9) = 15
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Answers
Given:
The given polar equation is:
[tex]r=8\cos\theta[/tex]
To find:
The rectangular form of the given polar equation.
Solution:
We know that,
[tex]r^2=x^2+y^2[/tex]
[tex]x=r\cos \theta[/tex]
We have,
[tex]r=8\cos\theta[/tex]
Multiply both sides by r.
[tex]r^2=8r\cos\theta[/tex]
[tex]x^2+y^2=8x[/tex]
Therefore, the correct option is D.
Write the decimal -0.43--- as a fraction in simplest form
Answers
Answer: 43/100
Step-by-step explanation:
Answer:
I got 43/100
Step-by-step explanation:
Since 43 is placed in the hundredths you call it 43/100
Hope it helps. Pls mark me brainliest.
A number is divided by 6, and then the quotient is added to 29. The result is 41.
Answers
Answer:2
Step-by-step explanation:x/6+29=41
41-29=12
12/6=2
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Answers
h = 15
just plug in the numbers for the corresponding letters and then solve to get h by itself
Pie r^2h=240pie
R=4
4^2 x h=240
Therefore h= 15