Answer:
x = 
Step-by-step explanation:
12-5x-4kx=y
1. Subtract 12 from both sides.
2.Distrubutive property (factor) a(b+c)=ab+ac
x(-5-4k)=y-12
x = 
=
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▹ Answer
<em>d. 7/20</em>
▹ Step-by-Step Explanation
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Slope of line = tan(120) = -tan(60) = - √3
Distance from origin = 8
Let equation be Ax+By+C=0
then -A/B=-√3, or
B=A/√3.
Equation becomes
Ax+(A/√3)y+C=0
Knowing that line is 8 units from origin, apply distance formula
8=abs((Ax+(A/√3)y+C)/sqrt(A^2+(A/√3)^2))
Substitute coordinates of origin (x,y)=(0,0) =>
8=abs(C/sqrt(A^2+A^2/3))
Let A=1 (or any other arbitrary finite value)
solve for positive solution of C
8=C/√(4/3) => C=8*2/√3 = (16/3)√3
Therefore one solution is
x+(1/√3)+(16/3)√3=0
or equivalently
√3 x + y + 16 = 0
Check:
slope = -1/√3 .....ok
distance from origin
= (√3 * 0 + 0 + 16)/(sqrt(√3)^2+1^2)
=16/2
=8 ok.
Similarly C=-16 will satisfy the given conditions.
Answer The required equations are
√3 x + y = ± 16
in standard form.
You can conveniently convert to point-slope form if you wish.
Answer: y = -4x-9
Step-by-step explanation:
parallel slope means it's the same slope as the given equation
y+1=-4(x+2)
y+1 = -4x-8
y = -4x-9
Answer:
566,880
Step-by-step explanation:
First you have to understand what the problem is asking you. It wants you to find the difference between working for 40 years with a master's degree and 40 years with a bachelor's degree.
Next you need to do the math. You can use a calculator since these are pretty large numbers. Enter in the following to find how much you make working 40 years with a bachelor's degree: 68,103 * 40 Once you have calculated that, you should get 2,724,120. Now you need to find how much you earn working 40 years with a master's degree. Enter the following: 82,275 * 40 You should get 3,291,000.
Finally you need to find the difference. Type into your calculator the following: 3,291,000 - 2,724,120 You should end up with 566,880.
Hope this helps!
-Coconut;)
