Answer: 70
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + b^2 = 74^2
576 + b^2 = 5,476
-576 -576
b^2 =4,900
(square root)
b =70
For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a
+ k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a
+k
7 = a + k
Similarly,
-2 = a
+ k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
brainly.com/question/4061870
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16 is correct
and so is negitive 8
X²=64
√x²=√64=8
x=8 (positive)
∛x=∛8=∛(2)³=2
∛x=2
Answer:
the explanation is given below.
Step-by-step explanation:
- Here what is applied is assumption of range of values of number from say 1 - 100
- In total, i stopped at 100 on the dot.
from this, the lowest number is 1 and the highest number is 100
- hence the range of the numbers = Difference between Highest and Lowest
- range = 100 - 1 = 99, the 99 gotten as the range is indicative that a number has been missing.
- In order to make up the 100, an integer is added to the difference = 99, i.e 99 is added to 1 to make up the 100.
- Furthermore, if 0 is exclusively out when numbers are counted up 100 with 0 inclusive, in such case, the first and last number are excluded from the counting. as such the integers will be {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20.........., 99} since both 0 and 100 are not included.
- Here, if we try to get the range = highest - lowest = 99 - 1 = 98, it implies that to make up the 99, an integer is added to the result of the difference = 98+1 = 99
- As such, the number of integers between two numbers is the difference between the highest and the lowest number plus 1 i.e highest - lowest + 1 = y - x +1 = (the floor of y) - ( the ceiling of x) + 1
