Answer:
y = x² + 38x + 311
Step-by-step explanation:
If a polynomial has rational coefficients and irrational roots, then the roots must be conjugate pairs.
y = (x − (-19-5√2)) (x − (-19+5√2))
y = (x + 19+5√2) (x + 19−5√2)
Use FOIL to distribute:
y = x² + x (19−5√2) + x (19+5√2) + (19+5√2)(19−5√2)
y = x² + 19x − 5√2 x + 19x + 5√2 x + (19+5√2)(19−5√2)
y = x² + 38x + (19+5√2)(19−5√2)
Use FOIL to distribute the last term:
y = x² + 38x + 19² − 95√2 + 95√2 − 50
y = x² + 38x + 361 − 50
y = x² + 38x + 311
Answer:
Area of shaded region = 16π in² (D)
Step-by-step explanation:
The question is incomplete without the diagram if the circles. Find attached the diagram used in solving the question.
Area of the smaller circle = 8π in²
Area of a circle = πr²
πr² = 8π
r² =8
r = √8 = 2√2
From the diagram, there are two smaller circles in a bigger circle.
The radius of the bigger circle (R) is 2times the radius of the smaller circle (r)
R = 2r
Area of bigger circle = πR²
= π×(2r)² = π×(2×2√2)²
= π×(4√2)² = π×16×(√2)²
Area of bigger circle = π×16×2
Area of bigger circle = 32π in²
Since there are two smaller circles in a bigger circle
Area of shaded region = Area of bigger circle -2(area of smaller circles)
Area of shaded region = 32π in² - 2(8π in²)
Area of shaded region = 32π in² - 16π in²
Area of shaded region = 16π in²
● Answer:
6.25 km
● Step-by-step explanation:
Hi there !
4 cm ........... 5 km
5 cm ........... x km
x = 5cm×5km/4cm
= 25km/4
= 6.25 km
Good luck !
The percentage of buttons that are large is 75%.
Answer:
Step-by-step explanation: