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3 years ago

11

Based on the graph, what is one solution of the equation f(x) = g(x)?

1 answer:

OLEGan [10]3 years ago

6 0

Answer:

x=1

x=-5

Step-by-step explanation:

we know that

The solution of the system of equations is the intersection point both graphs

In this problem there are two intersection points

so

The system has two solutions

we have

$f(x)=-x+\frac{1}{2}$

$g(x)=x^{2} +3x-4$

one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)

see the attached figure

therefore

x=1

x=-5

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2 years ago

One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

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Let Midpoint be represented by (x,y);

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$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

So

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

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So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

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$2 * 5 = \frac{-6 + x_2}{2} * 2$

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$6 + 10 = -6 +6 + x_2$

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Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

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Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

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Hence, the coordinates of the other end is $(16,2)$

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2 years ago

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Answer:

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