Answer:
4
Step-by-step explanation:
Because the powers have the same base of 2, we can apply the index law:
Therefore,
The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:
AB = 4
LM = 20
∠B = 98.87°
∠N = 141.87°
<h3>What is Dilation?</h3>
Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.
Find AB:
AB/KL = DC/NM
Plug in the values
AB/10 = 4/10
AB(10) = 4(10)
AB = 40/10
AB = 4
Find LM:
BC/LM = DC/NM
Plug in the values
8/LM = 4/10
8(10) = 4(LM)
LM = 80/4
LM = 20
∠B = ∠L = 98.87°
∠N = ∠D = 141.87°
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Hello :
<span>logx = cx^4
</span><span>(logx )/ x^4= c
c </span>> 0 :
solve : (logx )/ x^4 > 0
x > 0 and : logx > 0 means : x>1
so : c > 1
Answer:
Step-by-step explanation:
As it is first order nonlinear ordinary differential equation
Let y(x) = x v(x)
2xy/(x²+y²)=2v/(v^2+1)
dy=xdv+vdx
dy/dx=d(dv/dx)+v
x(dv/dx)+v=(2v)/(v^2+1)
dv/dx=[(2v)/(v^2+1)-v]/x
<h2>∫
= ∫
</h2>
u=v^2
du=2vdv
Left hand side:
∫
=∫
=∫
=
=
Right hand side:
Solve for v: