16(1/4x-1/2)>24-2x
Use the distributive property on the left side:
4x -8 > 24-2x
Add 2x to each side:
6x -8 > 24
Add 8 to each side:
6x >32
Divide both sides by 6:
x > 32/6 reduces to 16/3
Not sure if there is a typo in any of your answers, but I do not see the correct answer listed.
It is a 4 by 5 because 4 times 5 eguels 20
The required equation of the parabola is (y-5)² = 20(x+2)
<h3>Equation of a parabola</h3>
The standard equation of a parabola is expressed as;
(y-k)² = 4p(x-h)
where;
vertex = (h, k)
focus = (p+k, k)
directrix x = -p + h
Note that the directrix given will determine the type of the equation of a parabola
Given the following parameters
focus = (-2, 5) = (h, k)
x = -p + h
3 = p -2
p = 5
Substitute
(y-k)² = 4p(x-h)
(y-5)² = 4(5)(x-(-2))
(y-5)² = 20(x+2)
Hence the required equation of the parabola is (y-5)² = 20(x+2)
Learn more on equation of parabola here; brainly.com/question/4061870
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Count the difference of the x values between the two points (the run of the slope) and the difference of the y values between the two points (the rise of the slope). That would get you the rate of change, or slope, of the line.
Answer:
The word you are looking for is rotational symmetry and for that an octagon has orders of 8 (that is what you call the times it overlaps) I do not know what you mean on the swcong question
Step-by-step explanation:
A way of finding out how many orders a shape has of rotational symmetry is by getting some tracing paper and tracing the shape. You then put your pencil on the center of the shape and count how many time the shape overlaps