<h3>
Answer: 0</h3>
The discriminant is the number under the square root of the quadratic formula
The discriminant formula is
If D = 0, then the whole square root portion is 0 meaning we end up with the solution
Write x-4 instead of y.
x²+(x-4)²=40
x²+x²-8x+16=40
2x²-8x-24=0
x²-4x-12=0
(x-6)(x+2)=0
x=6 or x=-2
for x=6, y=6-4 = 2
for x=-2, y=-2-4 = -6
Answer:
(0,-4)
Step-by-step explanation:
see the image for explanation.
Answer:
x = 3
Step-by-step explanation:
If T is the midpoint, that means segments ST and TU are congruent.
Step 1: Set up expression
8x + 11 = 12x - 1
Step 2: Solve
11 = 4x - 1
12 = 4x
x = 3
Answer:
Angle a = 126°
Step-by-step explanation:
in the given figure,
b = 54°
( since they form vertical opposite angle pair, )
and
a = c
( since they are pair of vertical opposite angles )
now,
we know sum of all these angles = 360°
( because they for complete angle )
so,
=》a + b + c + 54° = 360°
=》a + 54° + a + 54° = 360°
( since, b = 54°, and a = c )
=》2a + 108° = 360°
=》2a = 360° - 108°
=》a = 252° ÷ 2
=》a = 126°