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GREYUIT [131]
3 years ago
14

What is the result of adding these two equations? 5x - y = 6 - 2x + y = 8

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Answer:

x=14/3

Step-by-step explanation:

5x-y=6

+ -2x+y=8

----------------

5x+(-2x)-y+y=6+8

5x-2x-y+y=6+8

3x=14

x=14/3

I apologize if something is incorrect, please me know how to fix it. Thank you!

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18a. False
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5 0
3 years ago
Writing g for the acceleration due to gravity, the period,T, of a pendulum of length l is given by
ivanzaharov [21]

Step-by-step explanation:

T=2\pi\sqrt{\frac{l}{g}}

T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))

Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.

So, \Delta T=T\frac{1}{2}\frac{\Delta l}{l}

b. For an increase of 2%, that is:

\frac{\Delta l}{l}=0.02

\frac{\Delta T}{T}=\frac{1}{2}0.02=0.01=1\%

7 0
3 years ago
Read 2 more answers
Which equation is true for the value a=7
andrey2020 [161]

Answer:

The answer is just re look at the question A

3 0
3 years ago
MAY SOMEONE PLZ HELP ME ON THIS, I DONT KNOW THE EQACTION
just olya [345]

Answer:

I will use "complete-the-square" approach if thats ok

first 0.5(x - 2)² - 2

second -2(x - 4)² + 8

7 0
2 years ago
Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).
Step2247 [10]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

Step-by-step explanation:

Given the points

  • (-4,1)
  • (4,3)

Finding the slope between the points (-4,1) and (4,3)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)

m=\frac{3-1}{4-\left(-4\right)}

Refine

m=\frac{1}{4}

Point slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

in our case,

  • m = 1/4
  • (x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

y-y_1=m\left(x-x_1\right)

y-1=\frac{1}{4}\left(x-\left(-4\right)\right)

y-1=\frac{1}{4}\left(x+4\right)

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

5 0
3 years ago
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