Answer: q(x) = 0.005(x - 40)² + 70
<u>Step-by-step explanation:</u>
f(x) = a(x - h)² + k <em>where a is the vertical stretch and (h, k) is the vertex.</em>
Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>
p(x) = 0.005(x - 40)² + 60
q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>
= 0.005(x - 40)² + 70
It's 11040 plants because 92 percent of 12000 is 11040. (Idk if this is the best reasoning but :/)
Answer:
Force = mass x acceleration
Therefore,
acceleration = Force / mass
Acceleration = 0.5 / 0.25
Acceleration = 2 m/s²
Step-by-step explanation:
Force = mass x acceleration
Therefore,
acceleration = Force / mass
Acceleration = 0.5 / 0.25
Acceleration = 2 m/s²
Answer:
Step-by-step explanation:
PART A
The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
PART 2
The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7
PART C
To determine x, we will apply the Pythagoras theorem as stated above.
Opposite side = √14
Adjacent side = x
Therefore
7^2 = x^2 + (√14)^2
49 = x^2 + 14
x^2 = 49-14 = 35
Taking square root of both sides of the equation, it becomes
x = √35
x = 5.92
