In the question there are numerous information's of immense importance already given. Let us write them down first
Distance traveled by bike = x km
Distance traveled by bus = y km
Total distance traveled by George and Carmen = 325 km
Then
x + y = 325
Another equation can be determined by
x - y = 75
x = y + 75
Now we will put the value of x in relation to y in the first equation.
x + y =325
y + 75 + y = 325
2y = 325 - 75
2y =250
y = 250/2
= 125 km
Now putting the value of y in equation given below, we get
x + y = 325
x + 125 = 325
x = 325 - 125
= 200 km
So the distance they biked is 200 km and the distance they traveled by bus is 125 km.
Answer: 24
A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.
the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.
The general equation for the vertical hyperbola is
[ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1
The conjugate axis of the vertical hyperbola is y = k
Length of the conjugate axis = 2b
According to the question k = 2, h = -1, a = 4, b = 12
Length of the conjugate axis = 2b = 2 * 12 = 24
Learn more about hyperbola here :
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Step-by-step explanation:
= -4 + 12 + (-9)
= -4 + 12 - 9
= -4 + 3
= -1
Answer:
The width of the photo is 
.
Step-by-step explanation:
From the given figure it is notices that the total width of the frame is
The photo is covered by a frame border and the width of the border is
To find the width of the photo we have to subtract the width of upper frame border and lower frame border from the total width of frame.
Width of the photo is
Therefore the width of the photo is .
Answer:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
