What is the perimeter of a triangle which sides measure 6, 8, and 10 inches?
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3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
What is an Inequality?
The relationship between two expressions or values that are not equal to each other is called inequality.
Given that three times, the sum of a number n and 5 is at least 17.
According to the question, the expression will be = 3(n+5)≥17
Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
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Answer:
3(n+5)≥17
Step-by-step explanation:
other endpoint?
A (3,5.5)
B (9, 12)
C (12,5)
D (9, 13)
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Answer:
the answer is the letter D
Final answer:
By rearranging the midpoint formula, it can be determined that the other endpoint of the line segment is (9, 13) (option D) when one endpoint is (1,3) and the midpoint is (5,8).
Explanation:
This question relates to coordinate geometry, a branch of mathematics. In coordinate geometry, the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is determined by the mean of the x-coordinates and y-coordinates, meaning the midpoint (xm, ym) is given by ((x1+x2)/2, (y1+y2)/2). If you have one endpoint ((x1, y1) which is (1,3) in this case) and the midpoint (xm, ym which is (5,8) in this question), you can solve for the unknown endpoint (x2, y2) by rearranging the midpoint formula to x2 = 2*xm - x1 and y2 = 2*ym - y1. Substituting the given coordinates into the formulas, we find that x2 = 2*5 - 1 = 9 and y2 = 2*8 - 3 = 13. Therefore, the other endpoint of the line segment is (9,13), hence option D is the correct answer.
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50 + 30 = 80
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Answer:
50% = percent chang
Step-by-step explanation:
6 ÷ 50%
6 × .50 = 3
3 ÷ .50 = 6
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An inequality that shows the distance Johnathan could of ran any day this week is:
Solution:
Let "x" be the distance Johnathan can run any day of this week
Given that,
Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles
Therefore,
Number of days ran = 5
The most he ran in 1 day = 3.5 miles
Thus, the maximum distance he ran in a week is given as:
The maximum distance he ran in a week is 17.5 miles
If we let x be the distance he can run any day of this week then, we get a inequality as:
If we let y be the total distance he can travel in a week then, we may express it as,
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x^2-4x=2x+24
minus 2x both sides
x^2-4x-2x=24
minus 24
x^2-6x-24=0
comlpete the square
isolate x^2 and x term
(x^2-6x)-24=0
take 1/2 of -6 and square it (-6/2=-3 (-3)^2=9) and add to both sides inside parethaes
(x^2-6x+9)-24=9
factor perfect square
(x-3)^2-24=9
add 24 both sides
(x-3)^2=33
sqrt both sides
x-3=+/-√33
add 3 to both sides
x=3+/-√33
x=3+√33 or 3-√33