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:
d=75° e=28° f=77°
Step-by-step explanation:
The angle of a straight line is 180°
If you subtract the 2 angles you know(which are equal to d and e), you're left with the missing angle measurement of 77°
Answer: A)
x = # of students in math class
2x+7=40
B)
2x+7=40
-7
------------
2x = 33
--- ---
2 2
x = 76 students
Plot point F where angle alpha is located.
Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.
alpha = x+80
<h3>
Answer: Choice D</h3>
Answer:
1) 19/53
2) 34/53
3) 12/53
4) 8/53
5) 13/53
Step-by-step explanation:
Find the group they are talking about and put it over the total amount of people
