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Brilliant_brown [7]
3 years ago
11

Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8​

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

2a -3b +10 =0\\\\10a+ 6b -8 =0\\\\\text{Using cross multiplication method}\\\\\\ \dfrac a{(-3)(-8)  - 6(10)} = \dfrac b{10(10) - 2(-8)} = \dfrac 1{ 2(6) - (-3)(10)}\\\\\\\implies  \dfrac a{24-60} = \dfrac b{100+16} = \dfrac 1{12+30}\\\\\\\\\implies -\dfrac {a}{36} = \dfrac b{116} = \dfrac 1{42}\\\\\\\text{Hence}\\\\a = - \dfrac{36}{42} = -\dfrac 67 \\\\\\ b= \dfrac{116}{42} = \dfrac{58}{21}

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4 0
2 years ago
Let c be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. find the exact length of c from t
Bingel [31]
Let x=t, so that

x^2=2y\implies t^2=2y\implies y=\dfrac{t^2}2

3z=xy\implies3z=\dfrac{t^3}2\impiles z=\dfrac{t^3}6

Then the length of the path is

\displaystyle\int_{t=0}^{t=4}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2+\left(\frac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt
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8 0
4 years ago
Nina has b coins. Clayton has 4 fewer coins than 6 times the number of coins Nina has. Write a simplified expression for the tot
user100 [1]

First of all, DEFINE YOUR VARIABLES!!

x=Ninas ammount of coins

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4 0
3 years ago
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds ca
Anni [7]

Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.

<h3>What is the period of the cosine function?</h3>

The cosine function is defined by:

f(x) = acos(bx + c) + d.

For the period, we have to look at coefficient b, and the period is:

P = 2π/|B|

For this problem, the function is given by:

h(x) = 15 cos(π/20)

Hence B = π/20, and the period is:

P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.

Hence it takes 40 seconds for the wheel to complete one turn.

More can be learned about the period of trigonometric functions at brainly.com/question/12502943

#SPJ1

7 0
2 years ago
Find the zeros of the function F(x)=-(x+7)(x+4)
saul85 [17]
X=-7,-4
hope this helps u out!
4 0
3 years ago
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