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2 years ago

WILL GIVE BRAINLIEST

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

(-10, 0) and (0,-5)

Step-by-step explanation:

For the function $f(x)=-\dfrac{1}{2}x-5,$ find x-intercept and y-intercept:

1. when y=0, then

$0=-\dfrac{1}{2}x-5,\\ \\\dfrac{1}{2}x=-5,\\ \\x=-10;$

2. when x=0, then

$y=-\dfrac{1}{2}\cdot 0-5,\\ \\y=-5.$

You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function $f(x)=-\dfrac{1}{2}x-5.$

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2 years ago

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2 years ago

3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third

mars1129 [50]

The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF

<h3>Inequalities </h3>

From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle

From the given information,

Line DE is about half the length of line DF

That is,

ED = 1/2 DF

Also,

Line FE is about one-third of the length of line DF

That is,

EF = 1/3 DF

Then, we can write that

ED + EF = 1/2DF + 1/3DF

ED + EF = 5/6 DF

Since,

5/6 DF < DF

Then,

ED + EF < DF

Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF

Learn more on Inequalities here: brainly.com/question/1447311

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2 years ago

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garri49 [273]

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2 years ago