Step-by-step explanation:
I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.
1. (3 , 2); y = 3x - 2
If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3
y = mx + b
y = 3x + b
To find b you plug in the point (3, 2) into the equation
2 = 3(3) + b
2 = 9 + b
-7 = b
The equation of the line that is parallel to the given equation is:
y = 3x - 7
To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)
The given slope is 3, the perpendicular slope is
y = mx + b
To find b, you plug in the point (3 , 2) into the equation
2 = -1 + b
3 = b
The equation of the line perpendicular to the given equation is:
Answer: A) x + 4x = 35; 7 large stones and 28 small stones
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Explanation:
x = number of large stones
4x = number of small stones
x+4x = total number of stones = 35
x+4x = 35 is the equation to solve
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Let's isolate x
x+4x = 35
5x = 35
x = 35/5
x = 7 large stones are needed
4x = 4*7 = 28 small stones are needed
Y=12
Add 3 to both sides add nine and 3 to get 12
W=6
Divide both sides by four divide 24 by 4 to get six
X=2
Subtract eight from both sides
subtract eight from 10 to get 2
Answer:
10n = d
Step-by-step explanation:
We know that
Each CD is sold for 10 dollars
The music store has sold n amount of CD's
The total number of dollars 'd' depends on how many CD's were sold
The equation is: 10n = d
Hope this helps!