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2 years ago

Y = 5x - 13 4x + 3y = 18

1 answer:

3 0

replace Y = 5x - 13
into
4x + 3y = 18



4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
4x -24 = 18
4x = 18 +24
4x = 42
x = 42/4
x = 10.5

Y = 5(10.5) - 13
= 52.5 - 13
= 39.5

answer: x = 10.5 and y = 39.5

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The center of the circle is at (-2,-7) and its radius is 36.

Vanyuwa [196]

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(x-h)^2+(y-k)^2=r^2

r=36
center at -2,-7
(x-(-2))^2+(y-(-7))^2=36^2
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2 years ago

Answer qn in attachment

leva [86]

Answer:

$\implies \dfrac{ -4x+7}{2(x-2) }$

Step-by-step explanation:

The given expression to us is ,

$\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}$

Now take the LCM as ( x - 1 ) and Simplify , we have ,

$\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}$

Simplifying further , we get ,

$\implies \dfrac{ -4x+7}{2(x-2) }$

Hence the second option is correct .

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2 years ago

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tester [92]

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2 years ago

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

The maximum power generated by the circuit is 300 watts.

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2 years ago

13 Use the circle below for questions 13-16.

Natasha_Volkova [10]

Answer:

NK=12

Step-by-step explanation:

x^2 +9^2=15^2

x^2+81=225

subtract 81

x^2=144

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(This is only for number 13, I don't know the answer to 14-16)

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2 years ago