ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4).
EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4).<span>
After plotting the points, the conclusion that is true about the quadrilaterals is "</span><span>A.The measure of their corresponding angles is equal." ABCD is just a reflection of EFCD.</span>
For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a + k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a+k
7 = a + k
Similarly,
-2 = a + k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
brainly.com/question/4061870
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Answer:
32 cm³
Step-by-step explanation:
Volume of a sphere is:
Volume of a cylinder is:
The volume of the cylinder is 48 cm³.
The cylinder has the same radius (r) and height (2r) as the sphere.
Therefore, the volume of the sphere is:
17×2= 34
76-34= 40
2x=40
x= 20
Legth: 17
Width: 20