30x + 42 = 6(5x + 7) you can understand it now
Answer:
A) 77/427
B) 77/420
C) 420/427
Step-by-step explanation:
Sin= Opposite/Hypotenuse
Opposite always make a 90° with the Adjacent. adjacent and the Hypotenuse are across each other.
Cos= Adjacent/Hypotenuse
Tan= Opposite/Adjacent
Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
25, 400 and 144 are all square numbers and 24, 300 and 145 are not.
Therefore, he must like 1600
Answer:
2.8284
Step-by-step explanation:
Input Data :
Point 1(xA,yA)(xA,yA) = (4, 10)
Point 2(xB,yB)(xB,yB) = (6, 12)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(6−4)2+(12−10)2(6-4)2+(12-10)2
= √22+2222+22
= √4+44+4
= √88 = 2.8284
Distance between points (4, 10) and (6, 12) is 2.8284