f(x) has vertex = (- 1, - 5 ) and is a minimum
g(x) has vertex = (2, 3 ) and is a maximum
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x + 1)² - 5 is in this form with vertex = (- 1, - 5 ) and minimum
to determine if maximum/ minimum
• if a > 0 then minimum
• if a < 0 then maximum
g(x) = - (x - 2)² + 3 is also in vertex form with a < 0
vertex = (2, 3 ) and is a maximum
-1(5x+1)
-5x-1
the (-) in front is just a short way to put (-1)
Answer: 12.96 m²
Step-by-step explanation:
The area of the piece of land that the flower beds were dug in is:
= Length * width
= 5.2 * 4.8
= 24.96 m²
The flower beds were 3 in number and all had the shape of a square.
Their area is:
= 3 * (Length * width)
= 3 * ( 2 * 2)
= 3 * 4
= 12 m² for all three flower beds
Remaining land:
= 24.96 - 12
= 12.96 m²
we are given the measurement of the side of a square equal to 16 inches. The square when divided into two using a diagonal forms a 45-45-90 angle. This means this follows the Pythagorean theorem in which the diagonal is square root of 2 times the length of the sides of the square. In this case, the diagonal measures then 16sqrt2 inches
"Manuel" here put the arrow in the wrong place. Should be under 15, not 4. PLUS, 4 is not prime, cuz 2 goes into it...