Step-by-step explanation:
The perimeter of a triangle is calculated by adding all three side lengths together
That means x + 3 + x + 4 + x + 1 = 17 add the like terms
3x + 8 = 17
3x = 9
x = 3
BC = x + 3 ➡ 6
CD = x + 4 ➡ 7
BD = x + 1 ➡ 4
Answer:
D
Step-by-step explanation:
Multiply the numerators together to get the overall numerator and multiply the denominators together to get the overall denominator. I hope this helps!
For this case we must find the value of n of the following equation:

Taking common factor "n" from the left side of the equation we have:

Multiplying by 5 on both sides of the equation:

Dividing between 6 on both sides of the equation:

Thus, the value of n is 20.
Answer:

Answer:
• multiplied by 4p: (x -h)² +4pk = 0
• zeros for k > 0: none
• zeros for k = 0: one
• zeros for k < 0: two
Step-by-step explanation:
a) Multiplying by 4p removes the 1/(4p) factor from the squared term, but adds a factor of 4p to the k term. (It has no effect on the subsequent questions or answers, so we wonder why we're doing this.) The result is ...
(x -h)² +4pk = 0
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b) The value of k is the vertical location of the vertex of the parabola with respect to the x-axis. The parabola opens upward, so for k > 0, the parabola does not cross the x-axis, and the number of real zeros is zero. (There are two complex zeros.)
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c) As in part b, the value of k defines the vertex location. When it is zero, the vertex of the parabola is on the x-axis, so there is one real zero (It is considered to have multiplicity 2.)
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d) As in part b, the value of k defines the vertex location. When it is negative, the vertex of the parabola is below the x-axis. Since the parabola opens upward, both branches will cross the x-axis, resulting in two real zeros.
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The attached graph shows a parabola with p=1/4 and h=2. The values shown for k are +1, 0, and -1. The coordinates of the real zeros are shown.