Answer:
B is true
Step-by-step explanation:
given f(x) = 2x² - x - 1 and g(x) = x - 1
A
If x = - 1 is a root then f(- 1) = 0
f(- 1) = 2(- 1)² - (- 1) - 1 = 2 + 1 - 1 = 2 ≠ 0 ← False
B
If (x - 1) is a factor then x = 1 is a root and f(1) = 0
f(1) = 2(1)² - 1 - 1 = 2 - 1 - 1 = 0
⇒ g(x) = x - 1 is a factor of f(x) ← True
C
If x = 2 is a root then f(2) = 0
f(2) = 2(2)² - 2 - 1 = 8 - 3 = 5 ≠ 0 ← False
D
= 
Cancel the factor (x - 1) on the numerator/ denominator, leaving
= 2x + 1 with remainder 0 ≠ 2 ← False
Answer:
That is a 45-45-90 triangle next to a 30-60-90 triangle.
So, the height of the left triangle equals 5.
That makes the short side of the 30-60-90 triangle also equal to 5.
In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.
Therefore, the hypotenuse (or "x") equals 10.
Step-by-step explanation:
There is one solution.. for a pair of lines if the lines are perpendicular (these are) they only touch once
Answer: 300/91
Step-by-step explanation:
1. Convert 4 1/3 to an improper fraction
13/3
2. Divide, using the keep, change, flip method to divide fractions
- Keep the first fraction the same (100/7)
- Change the division sign to a multiplication sign
- Flip the second fraction (13/3 -> 3/13)
3. Plug-in and evaluate
100/7 * 3/13
300/91
If you are looking for the solution as a mixed number, it is 3 27/91
4. Simplify, if applicable. This fraction cannot be simplified any further.
#a
m<5=40°
#b
m<2=140
#c
<5 and <2 are linear pair(looked properly in diagram) Hence they are supplementary.
#d
<5 and 2 are same side interior angles (Clearly shown on diagram .
- We can call them co responding interior angles and their sum will be 180 if lines are parallel
#e
a||b
Let's verify
Let the angle below <1 be <3
Now
<2+<3=180
<5+<4=180
Hence verified
