Answer:
b=5.25
Step-by-step explanation:
Divide both sides. by -6.
-31.5/-6 = 5.25
Answer:
6 6/8 OR 6 3/4
Step-by-step explanation:
2 5/8 +4 1/8
6 6/8
SImplify= 6 3/4
Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
Remember, these are quadrilaterals, so they must add up to 360°. Just add up the angles and then do 360 minus that number to solve for x.
Therefore:
1. 118 + 90 + 99 = 307
360 - 307 = 53
2. 110 + 96 + 78 = 284
360 - 284 = 76
3. 48 + 118 + 97 = 263
360 - 263 = 97
4. 105 + 99 + 64 = 268
360 - 268 = 92
5. 103 + 63 + 113 = 279
360 - 279 = 81
6. 95 + 80 + 88 = 263
360 - 263 = 97
