Answer:
Step-by-step explanation:
If y=f(x)=2x+5, to find the inverse function express x n terms of y:
Now, change y into x and x into y:
Substitute x=8 into expression:
Answer:
first one : inscribed angles create arc twice their degree
so, 115° created a 230 ° arc
360 - 230 = 130°
that means ∠EDG = 1/2 (130) or 65°
second : ∠ABD = 180 - 112 = 68
The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.
Central Angles and arcs are equal
360° - 136° = 224°
224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°
Third: ∠ACB and ∠ AOB create the same arc.
since ∠ACB is 48°, the arc is 96° (twice the angle)
if the arc is 98° then the central angle ∠AOB = 98°
360°-98° = 262°
You need this because ∠APB is 1/2(262-98) or 82°
Fourth : Both inscribed angles create the same arc
so the angles are equal
∠DEG = 38°
Answer:
This would be a 90 degree rotation in a counter clockwise fashion.
Step-by-step explanation:
You can tell this because in a 90 degree shift, the values switch terms. Also, one of the terms will change the sign.
The value of the integral 3ydx+2xdy using Green's theorem be - xy
The value of be -xy
<h3>What is Green's theorem?</h3>
Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.
If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then
=
Using green's theorem, we have
= ............................... (1)
Here = differentiation of function N w.r.t. x
= differentiation of function M w.r.t. y
Given function is: 3ydx + 2xdy
On comparing with equation (1), we get
M = 3y, N = 2x
Now, =
=
= 2
and, =
=
= 3
Now using Green's theorem
=
=
=
=
The value of be -xy.
Learn more about Green's theorem here:
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