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:
-4.2 divided by 2 equals -2.2
Answer:
Option A. 10 years
Step-by-step explanation:
we know that
Half-life
is the amount of time required for a quantity to fall to half its value as measured at the beginning of the time period.
In this problem
of a radioactive isotope is 10 years, which means that after 10 years half of the sample would have decayed and half would be left as it is.
After 10 years ( first half life) 5/2 = 2.5 g decays and 2.5 g remains left
Using the distance formula, the distance from:
School to Library (SL) = 5 units.
Library to Park (LP) = 10 units.
<h3>What is the Distance Formula?</h3>
To calculate the distance between two points on a coordinate plane, the distance formula used is:
.
Given the coordinates of each location as:
- School, S = (0, 4)
- Library, L = (4, 1)
- Park, P = (-4, -5)
Distance from School to Library (SL):
SL = √[(4−0)² + (1−4)²]
SL = √[(4)² + (−3)²]
SL = √25
SL = 5 units
Distance from Library to Park (LP):
LP = √[(4−(−4))² + (1−(−5))²]
LP = √[(8)² + (6)²]
LP = √100
LP = 10 units
Learn more about the distance formula on:
brainly.com/question/661229
#SPJ1
Answer:

Step-by-step explanation: