The coordinate of point Y such that the ratio of CY to YE is 1:1 on the number line is: -1.
<h3>How to Determine the Coordinate of a Point on a Number Line?</h3>
The number line gives us a good view of how real numbers are ordered. On a number line, any point can be located depending on their coordinates.
Given the number line on the diagram above, we are told that the ratio of CY to YE is 1 : 1. This ratio implies that the distance from point C to Y is the same as the distance from Y to E. Therefore, CY or YE is half of CE.
C has a coordinate of -4.
E has a coordinate of 2.
Distance from point C to point E = |-4 - 2| = 6 units
Half of 6 units is 3 units.
3 units from point C would be -1
Also, 3 units away from point E towards point C would be -1.
Therefore, the coordinate of point Y such that the ratio of CY to YE is 1:1 on the number line is: -1.
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Answer:
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Step-by-step explanation:
Answer:
The speed in still water is 5 miles per hour.
Step-by-step explanation:
distance with current = 90 miles
distance against current = 10 miles
speed in still water = s
speed of current = 4 mph
speed with current = s + 4
speed against current = s - 4
time = t
speed = distance/time
distance = speed * time
With current:
90 = (s + 4) * t
Against the current:
10 = (s - 4) * t
We have a system of equations:
90 = (s + 4) * t
10 = (s - 4) * t
90 = ts + 4t
10 = ts - 4t
Subtract the second equation from the first equation.
80 = 8t
10 = t
t = 10
10 = t(s - 4)
10 = 10(s - 4)
1 = s - 4
s = 5
Answer: The speed in still water is 5 miles per hour.
Answer:
Step-by-step explanation:
x⁴ - 3x² + 2 = 0
x^2×2 - 3x² + 2 = 0
(x²)² - 3x² + 2 = 0
t² - 3t + 2 = 0
t = 1, t = 2
x² = 1, x² = 2
x = -1, x = 1
x = - square root 2, x = square root 2