If x = 1.5 is the only solution to the equation 4x² - ax + b =0 then
4x² - ax + b = 4(x - 1.5)² |use p² - 2pq + q² = (p - q)²
4x² - ax + b = 4(x² - 2x · 1.5 + 1.5²)
4x² - ax + b = 4(x² - 3x + 2.25)
4x² - ax + b = 4x² - 12x + 9 |subtract 4x² from both sides
-ax + b = -12x + 9
therefore
-a = -12 ⇒ a = 12 and b = 9
Answer:
33 ¹/₃ seconds
Step-by-step explanation:
Since the dog is 30 - 24 = <em>6 m/s faster than the cat</em>, that means that the dog is <em>6 meters closer to the cat each second</em>.
So, that gap will close in 200/6 = 33 ¹/₃ seconds.
Answer: 345.4
Step-by-step explanation:
SA=2πr^2+2πrh
SA=2(3.14)(5)^2+2(3.14)(5)(6)
SA=2(3.14)(25)+2(3.14)(30)
SA=2(78.5)+2(94.2)
SA=157+188.4
SA=345.4
Answer:
x = 9 ⇒ second answer
Step-by-step explanation:
∵ (a + 3)(-2a² + 15a + 6) =
-2a³ + 15a² + 6a - 6a² + 45a + 18 =
-2a³ + 9a² + 51a + 18
∵ (a + 3)(-2a² + 15a + 6) = -2a³ + xa² + 51a + 18
∴ -2a³ + 9a² + 51a + 18 = -2a³ + xa² + 51a + 18
∴ x = 9
The measurement of angle x is 40°. these two triangle are congruent so their sides share the same length and their angles share the same degrees
