Answer:
Yes
Step-by-step explanation:
The definition of a rational number is a number that can be represented as a fraction. Since 56/7 is a fraction it must be a rational number. An irrational number is a number that cannot be represented as a fraction because it never ends and repeats without a pattern forever. An example of this is pi because pi can never exactly be represented as a fraction.
Answer:
B
Step-by-step explanation:
2x+2>10
2x>10-2
x>8/2
x>4
Answer:
-512
Step-by-step explanation:
Answer:
The bamboo shoot will take 200 days to reach at a height of 80 feet.
Step-by-step explanation:
Given,
Height of bamboo shoot = 8 in
Rate of growth = 47.6 in/day
Since the shoot has to reach a height of 80 feet and the shoot is already 8 inch tall.
So the height that the shoot has to reach is the difference of given height and actual height of the shoot.
For this we have to convert 80 feet into inch.
And we all know 1 feet is equal to 12 inches.
Now,
Height that the shoot has to reach= given height -actual height of the shoot
Height that the shoot has to reach=
Here we use the unitary method to find the number of days.
∵ the shoot grow 4.76 inches in 1 day.
∴the shoot grow 1 inch =
∴the shoot grow 952 inches =
Thus the bamboo shoot will take 200 days to reach at a height of 80 feet.
Answer:
The vertex of the graph is (-3,1)
Step-by-step explanation:
Here, we want to rewrite the given quadratic equation in the vertex form
We have the vertex form as;
y = a(x-h)^2 + k
where the vertex is (h,k)
Now, by completing the square, we have to divide the coefficient of x by 2, then square; after which we add to both sides; prior to this, we have to replace y by 0
Thus, we have it as follows;
x^2 + 6x + 10 = 0
x^2 + 6x + 10 + 3^2 = 3^2
x^2 + 6x + 19 = 9
x^2 + 6x + 9 = 9-10
(x + 3)^2 = -1
(x + 3)^2 + 1 = 0
So we have the vertex as ;
(h,k) = (-3,1)