The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
<h3>How to derive the equation of the parabola from the locations of the vertex and focus</h3>
Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The <em>standard</em> form of the equation of this parabola is shown below:
(x - h) = [1 / (4 · p)] · (y - k)² (1)
Where:
- (h, k) - Coordinates of the vertex.
- p - Distance from the vertex to the focus.
The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the <em>standard</em> form of the equation of the parabola is:
x = 2 · y² (1)
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
To learn more on parabolae: brainly.com/question/4074088
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Answer:
a = 9 / 7
step by step explanation:
9 / - a + 15 = 8
Determined the defined range
9 / ( - a ) + 15 = 8 , a ≠ 0
subtract 15 from each side
9 / - a + 15 - 15 = 8 - 15
calculate the difference
9 / - a = - 7
multiply both side of equation by - a
9 / - a × - a = - 7 × - a
9 = 7 a
divide each side by of equation by -7
9 / 7 = 7 a / 7
9 / 7 = a
swap the side of equation . ( optional )
a = 9 / 7
Answer:
The equation of the line that goes through points (1,1) and (3,7) is 
Step-by-step explanation:
Determine the equation of the line that goes through points (1,1) and (3,7)
We can write the equation of line in slope-intercept form 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope
We get Slope = 3
Finding y-intercept
y-intercept can be found using point (1,1) and slope m = 3
We get y-intercept b = -2
So, equation of line having slope m=3 and y-intercept b = -2 is:
The equation of the line that goes through points (1,1) and (3,7) is
Answer:
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Step-by-step explanation:
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Answer:
I believe the answer is x=7
Step-by-step explanation:
<em>3x</em> and<em> 4x-1 </em> are corresponding sides and so are <em>14</em> and <em>18</em>.
You cross multiply with the smaller triangle lengths at the top.
3x/(4x-1)= 14/18
Cross multiply to get
18(3x)= 14(4x-1)
54x=56x-14
Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)
you get 14=2x and divide 14 by 2 to get x=7
