1, 2, 3 and 4. Because 1 cubes is 1. 2 cubes is 8. 3 cubes is 27. 4 cubes is 64. 5 cubes is 125.
There are standard formulas for this type of problem. However, it can also be solved by a combination of simple steps.
First, the shortest distance from the point (3,5) to the line y = x +4 (line1) will be along a straight line perpendicular to line1. Give the perpendicular line the name line2. Since the slope of line1 is 1, the slope of line2 will be -1.
Second, since line2 must go through (3,5) and also have a slope of -1, the point slope form can be used for line2:
y - 5 = (-1) (x -3)
So the equation of line2 is y = -x +8.
Third, the point of intersection of line1 and line2 can be found by solving the set of equations:
y = x +4
y = -x + 8
The solution of this set of two equations is x = 2, y = 6 i.e. the point (2,6) .
Fourth, the distance formula can be used to find the distance between (3,5) and (2,6)
d = sqrt( (3-2)2 + (5-6)2 ) = sqrt(2)
This is the desired distance.
Answer:10-w<u>< </u> 8
Step-by-step explanation:
We need to look at the first clue, which is that they are 12th graders.
Add all the numbers in the 12th grade row and you get 68
Then match up the 12th grade row with the math column and the number presented you put over 68 so 28/68
Divided and you get D
The solution of the radical equation is x = 5 / 3.
<h3>How to solve radical equation?</h3>
The radical equation can be solved by isolating x.
Therefore, the radical equation can be solved as follows:
√3x - 1 - 2 = 0
add 2 to both sides
√3x - 1 - 2 = 0
√3x - 1 - 2 + 2 = 0 + 2
√3x - 1 = 2
square both sides
√3x - 1 = 2
(√3x - 1 )² = 2²
Hence,
(√3x - 1 )² = 2²
3x - 1 = 4
Therefore, add 1 to both sides
3x - 1 = 4
3x - 1 + 1 = 4 + 1
3x = 5
divide both sides by 3
3x = 5
3x / 3 = 5 / 3
x = 5 / 3
Therefore, the solution of the radical equation is x = 5 / 3.
learn more on radical equation here: brainly.com/question/28442352
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