9514 1404 393
Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
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When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
- a = 2
- -h = -5 ⇒ h = 5
- k = 6
Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
You can see that you're constantly subtracting 8 to get the next number. So, we have
So, as you can see, to get the n-th term we must subtract (n-1) times 8 from the original number.
Answer:
If it cuts x-axis 5 times.
Step-by-step explanation:
When we look at the graph of a function we can see its real roots by looking at its graph
The intersecting points that is the number of times a line cutting x-axis will be the real root of the function
So, by looking at the 5th degree function the number of time that function cuts x-axis will be the number of real roots.
So, if we need to say all the zeroes or roots of the function are real means it will cut the x-axis 5 times.
Because a function will have the root equal to its degree.
Answer:
1 wall is 0.75 gallons. 3 walls is 2.25 gallons.
Step-by-step explanation:
if 1 gallon covers 1 1/3 wall, divide 1/1.3333 = 0.75
multiply 0.75(1 wall) by 3.... 0.75×3=2.25
To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.
For a regular three-sided polygon, the interior angle is (180-360/3)=60 °
Since 6*60=360, so a regular three-sided polygon (equilateral triangle) tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 °
Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 °
Since 360/108=3.33... (not an integer), so a regular five-sided polygon (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 °
Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.
