Answer: Choice D
y = -(x - 2)^2 + 7
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Explanation:
The highest point is (2, 7) so this is the vertex.
In general, the vertex is (h, k). We can say that h = 2 and k = 7.
The vertex form
y = a(x-h)^2 + k
updates to
y = a(x-2)^2 + 7
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Note that the graph goes through (0,3) which is the y intercept. Plug those x,y coordinates into the equation above to solve for 'a'
y = a(x-2)^2 + 7
3 = a(0-2)^2 + 7
3 = a(-2)^2 + 7
3 = a(4) + 7
3 = 4a + 7
4a+7 = 3
4a = 3-7
4a = -4
a = -4/4
a = -1
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Therefore, we have
y = a(x-2)^2 + 7
update to
y = -1(x-2)^2 + 7
which is the same as
y = -(x - 2)^2 + 7
and that's why the answer is choice D
Answer:
144
Step-by-step explanation:
Multiples of 36:
36, 72, 108, 144, 180, 216
Multiples of 48:
48, 96, 144, 192, 240
Multiples of 72:
72, 144, 216, 288
Therefore,
LCM(36, 48, 72) = 144
Hope this helps!
<h3>
Answer: </h3>
approximately 36.633 cm if you use pi = 3.14
approximately 36.6519 cm if you use the calculator's stored value of pi
Work Shown:
L = arc length, r = radius, x = central angle in degrees
L = (x/360)*2*pi*r
L = (300/360)*2*pi*7
L = (35/3)pi .... exact arc length in terms of pi
L = (35/3)*3.14
L = 36.633 .... approximate arc length
Keep in mind that I used pi = 3.14 which isn't that great an approximation for pi. If you want to use more digits of pi, then use your calculator's built in version of it to get (35/3)*pi = 36.6519; of course it will depend on which option your teacher prefers.
Try going with this method for that question ⬇⬇⬇⬇
k = 273 + C
The answer would be $2,400
