The segments shown below could form a triangle?

Mathematics

2 answers:

Rainbow [258]3 years ago

8 0

The answer is false That should be The right answer

Leni [432]3 years ago

3 0

Answer:

<em>Option B; False</em>

Step-by-step explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

$| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False$

<em>These segments could not form a triangle</em>

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a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th

tiny-mole [99]

Answer: The campers will be $40\ miles$ from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Choosing the points (0,4) and (2,10), we get:

$m=\frac{4-10}{0-2}=3$

We can susbstitute the point (0,4) and the slope into $y=mx+b$ and solve for "b":

$4=3(0)+b\\\\b=4$

Then, the equation of this line is:

$y=3x+4$

Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:

$d=3h+4$

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute $h=12$ into the equation and evaluate. Then we get: