It'll take Emily five weeks to buy the sound system.
Answer
A) one and three fourths
Step by step explanation
y = x^2 - x + 2
Here we have to use the formula.
The x coordinate of the vertex = -b/2a
Compare the given equation y = x^2 - x + 2 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"
Here a = 1 and b = -1
Vertex of x coordinate = -b/2a, now plug in the value of a and b, we get
x = - (-1)/2(1)
x = 1/2
Now we have to find the y-coordinate of vertex.
Now plug in x = 1/2 in the given equation, we get
y = (1/2)^2 - 1/2 + 2
y = 1/4 - 1/2 + 2
y = 1 3/4
That is one and three fourths.
The answer is A) one and three fourths.
Thank you.
If you form a triangle with the points B and C as two of the points of the right angled triangle then you use Pythagoras to find the length of BC.
3^2+4^2=25
√25 = 5
Answer:
Rate in still water = 45 km/h
Rate of the current = 10 km/h.
Step-by-step explanation:
Let the rate of the current be x and rate in still water be y.
So the rate of the boat upstream is y - x and the rate downstream = x + y.
Rate upstream = distance / time
y - x = 105/3 = 35 ...... (1)
Rate downstream:
y + x = 165/3 = 55 .......(2)
Adding (1) + (2):
2y = 90
y = 45 km/h.
Using equation (1):
45 - x = 35
x = 45-35 = 10 km/h.