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Kisachek [45]
3 years ago
8

You're given two side lengths of 6 centimeters and 9 centimeters. Which measurement can you use for the length of the third side

to construct a
valid triangle?
3 centimeters
10 centimeters
12 centimeters
14 centimeters
18 centimeters
Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

Let's give names to the all sides a=6 , b=9 and c=?

Third sides of an triangle is determined by the following double  inequality, in this case b>a => b-a < c < b+a => 9-6 < c < 9+6 =>

3 < c < 15 => c belongs to the interval (3,15), let's take c=4, if we check for example side b => a>c => a-c < b < a=c => 6-4 < 9 < 6+4 =>

2 < 9 < 10 , inequality is true.

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Write an equation that is parallel to y = 3x and passes through (-4 , -3)
Anit [1.1K]
The slopes of two parallel lines must be identical.

We have slope m=3, so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, y-y_1=m(x-x_1), where our point (-4,-3) is substituted for (x_1,y_1).

y+3=3(x+4)

Now, we convert to slope-intercept form as such.

y=3x+12-3\\y=3x+9

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