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grin007 [14]
3 years ago
14

4x²-y²=171 and 2x-y=9, value of 2x+y

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0
So you will need to solve for x and y before evaluating 2x+y....

2x-y=9, y=2x-9  now this will make 4x^2-y^2=171 become:

4x^2-(2x-9)^2=171

4x^2-(4x^2-36x+81)=171

36x-81=171

36x=252

x=7, now we can use 2x-y=9 to solve for y...

2(7)-y=9

14-y=9

-y=-5

y=5

now we know that x=7 and y=5, 2x+y becomes:

2(7)+5

14+5

19
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Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 500(1.075)120x = 100.000
Volgvan

Answer:

The solution is:

x = 0.61

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

500(1.075)^{120x} = 100000

(1.075)^{120x} = \frac{100000}{500}

(1.075)^{120x} = 200

To find x, we have to apply log to both sides of the equality.

We also have that:

\log{a^{x}} = x\log{a}

So

\log{(1.075)^{120x}} = \log{200}

120x\log{1.075} = 2.30

120x*0.03 = 2.30

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3 years ago
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which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18
Vinvika [58]

Answer:

(6, 12)

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by using elimination:

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Step-by-step explanation:

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Answer: X = 44.4 degrees

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Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.

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