Answer:
1=x or x=1
Step-by-step explanation:
3(x+2)-10=4x-6+x
distribute
3x+6-10=4x-6+x
combine like terms
3x-4=5x-6
subtract 3x from each side
-4=2x-6
add 6 to both sides
2=2x
divide by 2
1=x or x=1
Answer:
The total distance walked by Paulo is 3750 feet.
Step-by-step explanation:
Here the four points are<em> (-2,1) (-2,-7) (5,-7) (5,1)</em>
Moving from stop A to B, only the y coordinate changes,
the change is ,
=1-(-7) = 1+7 = 8 units
Moving from stop B to C, only the x coordinate changes,
the change is ,
=5-(-2) = 5+2 = 7 units
Moving from stop C to D, only the y coordinate changes,
the change is
=1-(-7) = 1+7 = 8 units
Moving from stop D to A, only the x coordinate changes,
the change is
=5-(-2) = 5+2 = 7 units
Thus, the total distance traveled is 8+7+8+7 = 30 units
It is given that <em>1 unit = 125 feet</em>
Thus, the total distance traveled is = 
The total distance walked by Paulo is 3750 feet.
Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:
L - Nv = 3/4(Ny - Nv)
For the x-coordinate, we have that:
x = 3.75
For the y-coordinate, we have that:
y = 1.5.
The ordered pair that represents the location of the layover is (3.75, 1.5).
More can be learned about proportions at brainly.com/question/24372153
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Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3
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Explanation:
There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative.
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A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative
sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative
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If we allow m to be negative, then the final result would be either |m^3| or |m|^3.
The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.
Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2
x - 27 = 62 → ( add 27 to both sides )
x - 27 + 27 = 62 + 27
x = 89
drag first box then box with x = 89
