Answer:
x is no more than -6
Step-by-step explanation:
After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.
<h3>What is parabola?</h3>
Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.
General equation of the quadratic equation,
Y = ax² + bx +c
Given points,
(-2, 0),
(-1, -10),
(4, 0).
Putting the points in the general equation,
Putting (-2, 0), we get
0 = 4a - 2b + c
Putting (-1, -10), we get
-10 = a - b +c
Putting (4, 0), we get
0 = 16a + 4b +c
Solving all equations we get,
a = 2 , b = -4 , c = -16
After putting the values,
Y = 2x²- 4x- 16
2(x² - 2x - 8)
2(x²- 2x + 1 - 1 - 16)
=2(x - 1)²-34
Hence we get the required equation in the parabolic form.
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Answer:
x = 3.6
Step-by-step explanation:
By the Postulate of intersecting chords inside a circle.
Answer:
Height of the brick portion of the wall is 5.61 feet.
Step-by-step explanation:
Employees of the landscaping company used brick to build the top 2/3 of the wall. The total dimensions of the wall are 8 and 1/2 * 2 and 3/4 feet. So the height of the wall = 8 and 1/2 feet or in other words 8.75 feet.
Height of the brick portion of the wall = 2/3 * 8.5 = 0.66 * 8.5 = 5.61 feet
So the height of the brick portion of the wall is 5.61 feet.
Non brick portion of the wall is 8.5 - 5.61 = 2.89
Answer: y = 4x + 11
Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.
4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :
y = 4x - 2
In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.
y = 4x - a (generic)
ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.
We find this by putting our point value into the equation:
3 = 4(-2) + a ; 3 = -8 + a ; a = 11
Thus, our “parallel line equation” through the point (-2,3) is:
y = 4x + 11
