Answer:
y= -(1/5)x +1
Step-by-step explanation:
Find slope:
(2+1)/(-5-10) = -1/5
Plug a point and slope into equation (I used -5,2):
y-2=-1/5(x+5)
Change it to slope-intercept form:
y-2=-1/5(x+5)
y-2=-1/5x-1
y=-1/5x+1
Answer:
7.5
Step-by-step explanation:
Use pythagorean thereom
The perimeter of a square is the sum of its sides.
Then the perimeter is
P = 4L
Clearing the side we have:
L = (P / 4)
L = (12x + 52) / 4
L = 3x + 13
answer:
The side length of the square is 3x + 13 units
To find the size of the scale, we must divide its size by 20 (because the scale is 1:20). Doing that we get 150/20=7.5m=750cm. Hope this helps!
The answer is: " 8 " .
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Explanation:
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Let "x" represent the "original number".
2(x - 3) = 6 + (1/2)x ; Solve for "x" ;
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Multiple the ENTIRE EQUATION (both sides) by "2" ; to get rid of the fraction:
2*{2(x - 3) = 6 + (1/2)x} ;
to get:
4(x - 3) = 12 + x ;
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Let us expand the "left-hand side" of the equation:
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Note the "distributive property of multiplication" :
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a(b - c) = ab - ac ;
a(b +c) = ab + ac ;
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So; "4(x - 3)" = 4*x - 4*3 = 4x - 12 ;
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Rewrite the equation:
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4x - 12 = 12 + x ;
Subtract "x" from EACH side of the equation; and Add "12" to EACH SIDE OF THE EQUATION;
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4x - 12 - x + 12 = 12 + x - x + 12 ;
to get:
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3x = 24 ;
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Now, divide EACH side of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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3x/3 = 24/3 ;
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x = 8 .
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