Answer:
{4, - 1}
Step-by-step explanation:
Given
2y² - 6y - 8 = 0 ← in standard form
with a = 2, b = - 6, c = - 8
Using the quadratic formula to solve for y
y = ( - (- 6) ± 
) / (2 × 2)
= ( 6 ± 
) / 4
= ( 6 ± 
) / 4
= ( 6 ± 10 ) / 4
x = 
= 
= 4
OR
x = 
= 
= - 1
Solution is { 4, - 1 }
Answer:
y=4x-2
Step-by-step explanation:
Answer:
z = 94
x = 7
Step-by-step explanation:
The angle with a measure of 94° and the angle labeled "z" are vertical angles
Vertical angles are congruent ( equal to each other )
Which means that because "z"s vertical angle = 94° z also equals 94°
The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles
Supplementary angles add up to equal 180
Hence, 94 + 12x + 2 = 180
^ (Note that this is the equation we will use to solve for x )
Now we solve for x
94 + 12x + 2 = 180
step 1 combine like terms
94 + 2 = 96
we now have 180 = 96 + 12x
step 2 subtract 96 from each side
180 - 96 = 84
96 - 96 cancels out
we now have 84 = 12x
step 3 divide each side by 12
84 / 12 = 7
12x / 12 = x
we're left with x = 12
Answer:
C
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
sum the 4 exterior angles and equate to 360
8x + 9x + 5 + 5x + 4 + 9x + 3 = 360 , that is
31x + 12 = 360 ( subtract 12 from both sides )
31x = 148 ( divide both sides by 31 )
x ≈ 11.23 ( to 2 dec. places )
then exterior angle at B is
9x + 3 = 9(11.23) + 3 ≈ 104° → C
