A) No triangle exists with the given side lengths.
B) Exactly one unique triangle exists with the given side lengths.
C) More than one triangle exists with the given side lengths.
According to triangle inequality theorem, “The sum of the length of two sides of a triangle should be greater than the third side”. In order to verify the mentioned theorem, some calculations are performed below.
12 + 15 > 18
15 + 18 > 12
12 + 18 > 15
As the triangle inequality theorem satisfied, so there is only one triangle possible with the given sides length. No more than one triangle is possible, because the angles are not given, and the sides length are fixed.
So option “B” is correct.
Answer:
it is b
Step-by-step explanation:
Answer:
y= -x+6
Step-by-step explanation:
The equation format for slope-intercept form is y=mx+c, where m is the slope of the line and c is the y-intercept.
To find the slope, we need to pick two definite points and find the slope from that. The formula to find the slope is 'rise/run'. Rise is the difference between the y-values of the two points, and the run is the difference between the x-values of the two points.
Let's use the points (0,6) and (1,5).
The rise is -1 (5-6=-1) and the run is also 1 (1-0=1). This means that the slope is -1 (-1/1=-1). The slope is negative because the line is 'going downwards'.
So our equation so far is:
y=-x+c
The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.
So our final equation for the line is y= -x+6.
Hope this helped!
The the equation of the line is y= -x+6.
We have to make use the points (0,6) and (1,5).
We have a rise of -1 (5-6=-1)
We also have a run of 1 (1-0=1).
Now we have to find the slope
This is solved as the slope is -1 (-1/1=-1).
The slope is negative Given that we have a line that goes downwards
The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.
Therefore the equation is y= -x+6.
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by 10.5 inches. The second box measures 9 inches by 5.5
inches by 11.75 inches. Which box required more material to
make?
y = -2x^2 + 3
y = -3/4x^2
y = -4/5x^2 - 5
For the quadratic equations shown here, which statement is true?
A) The graphs open upward.
B) The graphs open downward.
C) The graphs are symmetric about the x-axis.
D) The graphs are listed from narrowest to widest.