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.
To know more about parabola, visit :
brainly.com/question/21685473
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To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:
Equation of a circle:
The equation of a circle with center 
and radius r is given by:
Center at (16, 30)
This means that 
Thus
Passes through the origin:
We use this to find the radius squared, as this means that 
is part of the circle. Thus
Thus, the equation of the circle is:
For another example to find the equation of a circle, you can look at brainly.com/question/23719612
Answer:
x=7
Step-by-step explanation:
y=mx
5.5=m×11
5.5÷11=m
m=1/2
y=mx
3.5=1/2×x
3.5÷1/2=x
x=7
Hi there!
Since the formula for finding the perimeter of a rectangle is length×2 + width × 2, we can follow this rule.
2 (4x + 5) + 2 (8x - 4)
= 8x + 10 + 16x - 8
= 24x + 2
So, the perimeter is 24x + 2.
Hope this helps!
Answer:
1. 2.13 x 10^-1
2. 8.9 x 10^-2
3. 5.7 x 10^-5
4. 2.84 x 10^4
5. 8.1 x 10^-5
6. 2.65 x 10-5
Step-by-step explanation:
Good luck! Brainliest is always appreciated!
Sincerely,
Philip
