<span>solve -2(2x + 5) - 3 = -3(x - 1)
-4x - 10 -3 = -3x + 3
-4x - 13 = -3x + 3
Add 3x to both sides
-4x - 13 +3x = -3x +3
Simplify
-x - 13 = 3
Add 13 to both sides
-x - 13 + 13 = 3 + 13
Simplify
-x = 16
multiply both sides by (-1)
x = -16</span>
The second one is the only equivalent equation. Simply plug in each variable in each equation. And compare!
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2
multiply equation 1 by -1
-y=-x</span>²
add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²-x)=2
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²-x+0.5²)=2+0.5²
Rewrite as perfect squares
(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1
for x=2
y=x²----> y=2²----> y=4
the point is (2,4)
for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)
the answer isthe solution of the system are the points(2,4) and (-1,1)
Answer:
Step-by-step explanation:
As we can see it is a right angled triangle so
hypotenuse (h) = 14 . 7 km
perpendicular (p) = 11.9 km
base (b) = x
Now by using Pythagoras theorem
Hope it was helpful.:)
Hello,
Let y=sin^(-1)(12/13.
==>sin y=12/13
==>cos y=√(1-(12/13)²)=√(25/169)=5/13
Answer 5/13
