Step-by-step explanation:
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In this case, x is the amount more he needs to save per month
350=12(x+20)
distribute
350=12x+240
minus 240 both sides
110=12x
divide both sides by 12
9.166666=x
needs to save about $9.17 more per month or 29.17 permonth
If we arrange the equation of a line in standard form,
we can read its slope (gradient) directly.
1). 5x + y + 4 = 0
Subtract 4 from each side: 5x + y = -4
Subtract 5x from each side: y = -5x - 4
The slope (gradient) of the line is -5 .
2). Parallel lines have the same slope (gradient).
First, find the slope (gradient) of the given line.
3x + 5y = 15
Subtract 3x from each side: 5y = -3 x + 15
Divide each side by 5 : y = -3/5 x + 15
The slope (gradient) of the given line is -3/5 .
Any line with a slope (gradient) of -3/5 is parallel to this one.
Its equation will be y = -3/5 x + any number.
Answer:
(x - 2)² + (y +8)² = 49
Step-by-step explanation:
Points to remember
Equation of a circle passing through the point (x₁, y₁) and radius r is given by
(x - x₁)² + (y - y₁)² = r ²
<u>To find the radius </u>
It is given that, center of circle = (-5, -8) and passes through the point (2 -8)
By using distance formula,
r = √[(2 --5)² + (-8 --8)²]
= √7²
r = 7
<u>To find the equation of the circle</u>
Here (x₁, y₁) = (2, -8)
Equation of circle is,
(x - x₁)² + (y - y₁)² = r ²
(x - 2)² + (y - (-8))² = 7²
(x - 2)² + (y +8)² = 49
For cylinders to be similar, the ratio between their height and radius must be equal.Our cylinder's ratio is :
The only cylinder with same ratio is the one at the choice B.