Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ±
= ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
Answer:
-2
Step-by-step explanation:
The axis of symmetry divides the quadratic exactly in half. If one x-intercept is 8, then the other will be the same distance on the other side of it. 8 is 5 from 3 where the axis of symmetry is. So 3-5 = -2. -2 will be the other intercept.
Answer:
2x+10=-8
x=9
3x=9
x=3
2x=8
x=4
4x=20
x=5
Step-by-step explanation:
Answer:
148⁰
Step-by-step explanation:
M< EDF = M< DFE (because the two angles are equal because the triangle has two equal sides)
2x + 8 = 3x + 4
8 – 4 = 3x - 2x
4=x or x=4
So M< EDF= 2x4+8 = 16⁰
So M< EDF + M< DFE= 32⁰
180⁰- 32⁰ = 148⁰
Although the answer choices are not complete, we may evaluate the probability of each event.
Total silver medals = 99
Great Britain's silver medals = 17
A should be 17/99
Total Russian medals = 82
Russian bronze medals = 32
B should be 32/82 = 16/41
Total gold medals = 137
Chinese gold medals = 38
C should be 38/137
Total US medals = 104
US silver medals = 29
D should be 29/104