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)
parallel lines or skew lines
- Parallel lines are in Same plane or Coplanar but donot intersect each other.
- Skew lines lie in same plane but don't intersect each other.
Answer:
$11
Step-by-step explanation:
Let Ben has b,
sean has s
alexis has a
samantha has s
Money.
We need to write the words into equations and solve as we can.
b + s + a + s = 47
b + s = 27
b + a = 25
b + s = 23
We need to find a.
Let's put 2nd equation in first, to get:
27 + a + s = 47
a + s = 20 ---------- 5th equation
Now let's solve 4th equation for b and put it into 3rd equation:
b + s = 23
b = 23 - s
Putting in 3rd equation:
23 - s + a = 25
a - s = 2 ---------------6th equation
Now, add up 5th and 6th equation to get a:
a + s = 20
a - s = 2
-------------
2a = 22
a = 22/2 = 11
Alexis got $11
The decimal representation for 4/5 would be,
0.8
Hope it helped. It's all I could do.
<span><span>800 </span><span>+60 </span><span>+3 </span><span>+ 0.1</span><span>+ 0.04</span><span>+ <span>0.001
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