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mrs_skeptik [129]
2 years ago
12

Solve the system of equations. Enter your answer as an ordered pair (x, y). 4x+y=−1 −5x−2y=−4

Mathematics
2 answers:
777dan777 [17]2 years ago
6 0

Answer:

Step-by-step explanation:

4x + y = - 1 -------------(I)

-5x - 2y = -4 -----------(II)

Multiply the equation (I) by 2 and then add the equations.

(I)*2        8x + 2y = -2

(II)          <u>-5x - 2y = -4</u>  {Now add and y will be eliminated}

             3x         = -6

                       x = -6/3

x = -2

Substitute x = -2 in equation (I)

4*(-2) + y = -1

-8     + y = -1

          y  = - 1 + 8

           y = 7

Lostsunrise [7]2 years ago
3 0

Answer:

(-2, 7)

Step-by-step explanation:

4x + y = -1

-5x - 2y = -4

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

2(4x + y = -1) = 8x + 2y = -2

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

8x + 2y = -2

-5x - 2y = -4

3x = -6

÷3   ÷3

x = -2

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

4(-2) + y = -1

-8 + y = -1

+8          +8

y = 7

I hope this helps!

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Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source. The total capacitive reactance is _____.
muminat

<u>Answer</u>-

<em>The total capacitive reactance of the circuit is </em><em>7.96 Ω.</em>

<u>Solution-</u>

Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source.

The effective/equivalent capacitance of the circuit is,

C=20+30=50\ mF

As, when capacitors are connected together in parallel, the equivalent capacitance in the circuit is equal to the sum of capacitance of all the individual capacitor.

We know that,

X_c=\dfrac{1}{2\pi fC}

Where,

X_c = Capacitive Reactance (in Ω)

f = frequency (in Hz)

C = Capacitance (in F)

Here given,

X_c = ??

f = 400 Hz

C = 50 mF = 50\times 10^{-6} F

Putting the values in the formula,

X_c=\dfrac{1}{2\pi \times 400\times 50\times 10^{-6}}

X_c=\dfrac{10^{6}}{40000\pi}

X_c=7.96\ \Omega

Therefore, the total capacitive reactance of the circuit is 7.96 Ω.

5 0
4 years ago
X= 90, y=47 x=43, y= 47
scZoUnD [109]
Find the values of x and y. a.x=90,y=47 b.x=43,y=47 c.x=47,y=43 d.x=90,y=43
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Jerry has 35 pails of feed to give to his 5 horses. How many pails of feed will each horse get
skelet666 [1.2K]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
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The average low temperature is -10.
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What's the inequality for |u|-2&lt;5
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Answer:

0 ≤ u < 7 and 0 > u > - 7 and combining those two we get - 7 < u < 7.

Step-by-step explanation:

The given inequality is |u| - 2 < 5 ....... (1)

We have to solve this inequality.

Now, from the definition of f(x) = |x| we get, f(x) = x, when x ≥ 0 and  

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Hence, for u ≥ 0, the equation of inequality (1) becomes  

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Therefore, the solution is 0 ≤ u < 7 (Answer)

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4 years ago
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