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rk193140
21.05.2020 •
Mathematics
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Ответ:
As shown in picture,
NP = NM = PQ
=> 2 triangles PNM and NPQ are isosceles
=> angle NMP = angle NPM => arc NP = arc NM
=> angle NQP = angle QNP => arc PQ = arc NP
=> arc NP = arc NM = arc PQ
Otherwise, we have:
arc NP + arc NM + arc PQ + arc MQ = 360 deg
(sum of all arcs on a circle)
=> 3 x arc NP + 120 = 360
=> arc NP = 240/3 = 80 deg
Hope this helps!
:)
Ответ:
90°
Step-by-step explanation:
A line from O to the midpoint of the chord makes a 90°
½NP = (180 - 90)/2 = 45
NP = 90
Ответ:
Knowing that the vertex form of the quadratic equation is
y=a(x-h)^2+k where (h,k) represents the vertex, and the a value represents the leading coefficient of the quadratic equation in standard form, first plug in your known values (your given coordinate point can be plugged into the x and y values, and your given vertex can be plugged into h and k):
-4=a(0-10)^2-9
Because your a value is still unknown, you can use your given values in the equation to solve for a:
-4=a(-10)^2-9
-4=100a-9
100a=5
a=1/20
Now that you have your a value, you can plug it into your vertex form as well as your vertex values to get that your equation in vertex form is:
y=1/20(x-10)^2-9