Answer:
Expression is 8(n+2)
Step-by-step explanation:
smallest of 4 consecutive odd numbers =2n + 1
consecutive odd integers are found by adding 2 to the any given odd numbers
Thus, 2nd consecutive odd integers = 2n + 1 + 2 = 2n + 3
3rd consecutive odd integers = 2n + 3 + 2 = 2n + 5
2nd consecutive odd integers = 2n + 5 + 2 = 2n + 7
Thus, 4 consecutive odd integers are
2n + 1 ,2n + 3,2n + 5,2n + 7
sum of these numbers are = 2n + 1 +2n + 3 + 2n + 5+2n + 7 = 8n+16
sum of these numbers are = 8(n+2)
Thus, we see that the sum of numbers are 8(n+2)
As, 8 is common for n+2, whatever is value of n, the number will be multiple of 8 .
thus expression is 8(n+2)
The answer is 4+5+6=15.Hope that helps. :)
<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment.
Given that FB : FC = 4 : 3,
From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1).
We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A)
Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1))
Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3.
Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4).
Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3.
Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4).
Therefore, the coordinates of point D is (-6, -4).</span>
Answer:
When two numbers get divided, they form a number, this newly formed number is the definition to QUOTIENT.
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9514 1404 393
Answer:
y = -7x
Step-by-step explanation:
The line goes through the origin, so the y-intercept is b=0.
The line goes through the point (1, -7), so has a "rise" of -7 for a "run" of 1. The slope is ...
m = rise/run = -7/1 = -7
Then the slope-intercept form equation is ...
y = mx + b
y = -7x
