The answer is: [B]: " x + 3y + 10 = 0 " .
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Explanation:
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Note the equation for a line; in 'slope-intercept form': "y = mx + b" ;
in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
"m" = the slope of the line; and is the co-efficient of "x" ;
b = the "y-intercept"; (or the "y-coordinate of the point of the "y-intercept").
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So, given the information in this very question/problem:
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slope = m = (-1/3) ;
b = y-intercept = (10/3) ;
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And we can write the equation of the line; in "slope-intercept form"; that is:
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" y = mx + b " ; as:
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" y = (-1/3)x + (10/3) " ;
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Now, the problem asks for the equation of this line; in "general form"; or "standard format"; which is:
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"Ax + By + C = 0 " ;
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So; given:
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" y = (-1/3)x + (10/3) " ;
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We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;
→ 3* { y = (-1/3)x + (10/3) } ;
→ 3y = -1x + 10 ;
↔ -1x + 10 = 3y ;
Subtract "(3y)" from each side of the equation:
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-1x + 10 − 3y = 3y − 3y ;
to get:
-1x + 10 − 3y = 0 ;
↔ -1x − 3y − 10 = 0 ;
→ This is not one of the "3 (THREE) answer choices given" ;
→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:
-1 * {-1x − 3y − 10 = 0} ;
to get:
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→ " x + 3y + 10 = 0 " ; which is: "Answer choice: [B] ."
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Note that is equation is in the "standard format" ;
→ " Ax + By + C = 0 " .
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Answer: her call lasted for 44 minutes
Step-by-step explanation:
Linda purchase a prepaid phone card for $30. This means that the credit on her card is $30.
Long distance calls cost $0.17 each. Linda use her card only to make a long distance call. Assuming she made a total of x minutes of long distance calls, the cost would be $0.17x. The amount remaining on her card will be
30 - 0.17x
if the remaining credit on her card is $22.52, the number of minutes,x that the call lasted will be
22.52 = 30 - 0.17x
0.17x = 30 - 22.52
0.17x = 7.48
x = 7.48/0.17 = 44
Answer:
The Growth of sunflower duing 3 weeks is 8.5 inches or 8 (1/2).
Step-by-step explanation:
Given:
Growth of sunflower each week .
To find :
Total growth during 3 weeks?
Solution:
According to given data:
Growth is
- 1st week=2 and 1/2 inches=5/2=2.5 inches .
- 2nd week =2 and 3/4 inches=11/4 inches.
- 3rd week=3 and 1/4 inches=13/4 inches.
Total growth is given by,
=growth of (1st week +2 week+ 3 week)
=5/2+11/4+13/4
=34/4
=17/2
=8 and 1/2 inches.
Hence the overall growth is about 17/2 or 8.5 inches in 3 weeks .
This is a vertical parabola, because (x-1)².
Vertex of the parabola (1,1).
So line symmetry is x=1.
w=37
2w+w+69= 180 knowing that all triangles add up to 180 form an equation
3w+69=180 combine like terms and subtract 69 from both sides
3w=111 divide by 3 from both sides
w=37
