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)
0.000679 is the correct answer
move the decimal point to the left twice because of the -4 on the 10
Answer:
<em>The complement is 47° and the supplement is 137°.</em>
Step-by-step explanation:
<u>Complementary and Supplementary Angles</u>
When the sum of two angles is equal to 90 degrees, they are called complementary angles. Similarly, if the sum of two angles is 180 degrees, they are called supplementary angles.
We are given an angle of 43 degrees. Its complementary angle is 90° - 43° = 47°, and its supplementary angle is 180° - 43° = 137°.
The complement is 47° and the supplement is 137°.
Can you show the multiple choice one
-3. Put the two equation equal to each other and solve.
4x+18=2x+12
-2x=-2x
2x+18=12
-18=-18
2x=-6
2x/2=-6/2
x=-3
