Answer:
Step-by-step explanation:
Let's start by using distributive multiplication:
So:
Grouping like terms:
Now, is equal to:
In this sense:
In order to satisfied the equality:
Hence, from (1), let's solve for a:
And from (2), let's solve for b:
Let's verify the result evaluating the values of a and b into the original equation:
As you can see, the values satisfy the equation, therefore, we can conclude they are correct.
Answer:
Step-by-step explanation:
Convergent: Two plates are coming together. This results in one or both edges of the plates to move upwards to form mountains. If one plate is pushed down while the second is pused up, a deep trench may form (ocean trenches). Volcanoes and earthquakes may also form along this boundary. The Pacific "Ring of Fire" is due to convergent plate collisions.
Divergent: Divergent boundaries occur when two plates move away from each other. Earthquakes and volcanoes are common as the growing gap allows magma to comes to the surface. Iceland is divided between the North American and Eurasian plates and this has produced an ever-widenng gap down the center of the country, which is both a major tourist attraction and a source for volcanic activity and numerous hot spring pools. One bridge across this gap is known as the "Bridge Between Continents," and is designed to accomodate the Xcm/year stretch as the continents separate even further.
Transform: Two plates slide past each. The San Andreas fault is one of the more famous. Structures, both natural and man-made, that cross a transform boundary can be split into pieces and moved in opposite directions. Rocks along the boundary are pulverized as the plates grind them. This can result in a linear fault valley or undersea canyon. Earthquakes are common along these faults. Unlike convergent and divergent boundaries, crust is cracked and broken at transform margins, but is not created or destroyed as with convergent and divergent boundaries.
Let be
p(x)=<span>(x^{2} -1
q(x)=</span><span>3(x+1)
r(x)=1
the three coefficients of the equation
a is a singular point of the equation if lim p(x) =0
x------>a
so let's find a
</span> lim p(x) = lim x²-1=a²-1=0
x------>a x------>a
a²-1=0 implies a=+ or -1
so the sigular points are a= -1 or a=1
case 1
for a= -1
lim (x-(-1)) q(x)/p(x)=lim (x+1) 3(x+1)/x²-1=lim3(x+1)/x-1= 0/-2=0
x------> -1 x------> -1 x------> -1
lim (x-(-1))² r(x)/p(x)= lim(x+1)²/x²-1= 0/-2=0
x------> -1 x------> -1
lim (x-(-1)) q(x)/p(x) and lim (x-(-1))² r(x)/p(x) are finite so -1 is regular
x------> -1 x------> -1
singular point
case 2
a=1
lim (x-1)) q(x)/p(x)=lim (x-1) 3(x+1)/x²-1=lim3(x+1)/x+1= 3
x------> 1 x------> 1 x------> 1
lim (x-1))² r(x)/p(x)= lim(x-1)²/x²-1= =0
x------> 1 x------> 1
1 is also a regular singular point
It would be n + ( 8 + 6 ) because n is separated from the addition of 8 and 6 as asked in the question.
Answer:
c = 13d
Step-by-step explanation:
Given:
4d=1/3(c-d)
Open bracket
4d = 1/3c - 1/3d
Add 1/3d to both sides
4d + 1/3d = 1/3c
Simply 4d + 1/3d
12d+d/3 = 1/3c
13/3d = 1/3c
Make c the subject of the formula
c = 13/3d ÷ 1/3
c = 13/3d × 3/1
c = 13d