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4 years ago

9

if a line segment connects a point with its reflected image, explain the relationship between the line segment and the line of r

eflection?

1 answer:

irinina [24]4 years ago

8 0

The line of reflection is the perpendicular bisector of the segment connecting a point with its image.

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5 What is the range of y = -x2 - 2x + 3?<br> Ax<4<br> B x2-4<br> c y<4<br> Dy2-4

Vesnalui [34]

Answer:

$y\leq 4$

Step-by-step explanation:

we have

$y=-x^{2}-2x+3$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex is a maximum

The vertex is the point (h,k)

The range of the function is the interval (-∞,k]

so

$y\leq k$

Convert the quadratic equation in vertex form

Factor -1 leading coefficient

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

Complete the square

$y=-(x^{2}+2x+1)+3+1$

$y=-(x^{2}+2x+1)+4$

Rewrite as perfect squares

$y=-(x+1)^{2}+4$

The vertex is the point (-1,4)

therefore

The range is $y\leq 4$

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3 years ago

When a jug is half-filled with marbles, it weighs 2.6 kg. If the jug weighs 4 kg when full, find the weight of the empty jug.

Fittoniya [83]

Answer:

1.2 kg

Step-by-step explanation:

filling the jug up half way adds 1.4 kg to the weight.

2 x 1.4 - 2.8 kg of marbles when full

4-2.8 = 1.2 kg

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3 years ago

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