C. parabola
By definition, we have a parabola is:
Open curve formed by two symmetrical lines or branches with respect to an axis and in which all its points are at the same distance from the focus (one point) and the directrix (line perpendicular to the axis).
Answer:
The locus of points that are the same distance from a point and a line is a parabola.
Answer:
For example, 16/21
Step-by-step explanation:
Are there choices?
There is an infinite number of numbers between any two numbers.
2/3 = 14/21
6/7 = 18/21
One example of a fraction between 2/3 and 6/7 is 16/21
16/21 is between 2/3 and 6/7.
We notice that:
9-6 = 3
12-9 = 3 , Then we can conclude that this is an arithmetic progression with:
1st term a₁ = 6 and with common difference d = 3
So the first term is 6 and the last term is 93.
the formula of the sum in a A.P is :
S = (a + last term).n/2, n being the rank of the last term. So to be
able to find S, we have to calculate the value of n
We know that the last value of a A.P is :
last value = a₁ + (n-1)d
93 = 6 +(n-1)(3) → 93 = 6 + 3n -3 → n = 90/3 → n = 30 (rank 30th)
Now we can find the sum:
S = (a₁ + last term)n/2
S = (6+93)30/2
S = (99).15 = 1,485
Answer:
59°
Step-by-step explanation:
From the question given, we obtained the following:
C + (3x + 16) = 180 (sum of angle on a straight line)
5x – 54 = 3x + 16 (Altanate angles are equal)
Next, we shall determine the value of x.
This can be obtained as follow:
5x – 54 = 3x + 16
Collect like terms
5x – 3x = 16 + 54
2x = 70
Divide both side by the coefficient of x i.e 2
x = 70/2
x = 35
Finally, we shall determine the value of C as shown below:
C + 3x + 16 = 180
But, x = 35
C + 3(35) + 16 = 180
C + 105 + 16 = 180
C + 121 = 180
Collect like terms
C = 180 – 121
C = 59°
Therefore, the value of C is 59°
Answer:
What subject is this
Step-by-step explanation:
