Since we need it in fraction form you need to figure out how many halves are in 3.
you might know it off the top of your head, but if you don't:
3•2 = 6
(6/2)+(1/2) = (7/2)
(7/2) is your improper fraction
Answer:
{-3/2, 4}
Step-by-step explanation:
Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.
Here we have x = -4. Perform the synthetic division as follows:
-4 4 -10 -24
-16 108
------------------------------
4 -26 84 The remainder is 84, which tells us -4 is NOT
a root/solution.
Try -3/2 as divisor this time:
-3/2 4 -10 -24
-6 24
------------------------------
4 -16 0 Remainder is 0, so -3/2 is a solution
Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).
Answer:
1. A. Set the angle and arc measures equal.
2. B. major arc
3. B. Multiply the angle measure by 2.
4. A. minor arc
Step-by-step explanation:
1. If the intercepted arc is made from a central angle then angle of arc is equal to the central angle
2. 190 is a bigger angle than 170(angle of the remaining arc)
Therefore it is a major arc.
3.If the intercepted arc is made from a inscribed angle, then the angle of arc is double of the inscribed angle.
4. 115 < 245
Therefore it is a minor arc.
Answer:
17°
Step-by-step explanation:
sum of angles in a triangle=180°
x+17°+6x+10°+4x-34°=180°
11x-7°=180°
11x=180°+7°
11x=187°
x=17°
Answer:
x = 3 is extraneous
Step-by-step explanation:
Given
= x - 5 ( square both sides to clear the radical )
4x - 8 = (x - 5)² ← expand using FOIL
4x - 8 = x² - 10x + 25 ( subtract 4x - 8 from both sides )
0 = x² - 14x + 33 ← in standard form
0 = (x - 11)(x - 3) ← in factored form
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x - 3 = 0 ⇒ x = 3
As a check
Substitute these values into the equation and if both sides are equal then they are solutions
x = 11
left side = 
= 
= 6
right side = 11 - 5 = 6
Thus x = 11 is a solution
x = 3
left side = 
= 
= 2
right side = 3 - 5 = - 2 ≠ 2
Thus x = 3 is an extraneous solution
