Hello!
If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.
This means that the new equation must have a slope of -1/3.
Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.
y = -1/3x + b (6, 5)
5 = -1/3(6) + b
5 = -2 + b (add 2 to both sides)
7 = b
Therefore, the equation of the line is y = -1/3x + 7.
1.15¹⁰=4.0456, the growth rate, so the increase is 3.0456 or 305%.
Answer:
The perimeter of the triangle can be expressed as 5x + 18.
Step-by-step explanation:
Perimeter of an object is the sum of the length of its sides.
For the required triangle, we have;
length of the base = x
length of the second side = 3x + 9
length of the third side = x + 9
Perimeter of the triangle = length of the base + length of the second side + length of the third side
= x + (3x + 9) + (x + 9)
= x + 3x + 9 + x + 9
= 5x + 18
The perimeter of the triangle can be expressed as 5x + 18.
Answer:
Step-by-step explanation:
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Answer:
She must sell as least 20 candles
Step-by-step explanation:
Sharon has 50 dollars
She makes 2 dollars per candle
Money in 50+2c
She needs at least 90
90≤ 50+2c
We need to solve this inequality
Subtract 50 from each side
90-50≤ 50-50+2c
40 ≤ 2c
Divide by 2
40/2 ≤ 2c/2
20 ≤ c
She must sell as least 20 candles
