Answer:
c = - 2
Step-by-step explanation:
calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (8, 0) and (x₂, y₂ ) = (- 8, c)
m = =
=
cross- multiplying gives
8c = - 16 ( divide both sides by 2 )
c = - 2
ANSWER
EXPLANATION
We want to simplify:
Recall the distributive property;
(a+b)(c+d)=a(c+d)+b(c+d)
We apply this property to get,
We expand to get,
This simplifies to,
The simplest form of the given expression is:
Answer:
9.2 seconds.
Step-by-step explanation:
We have been given an equation that represents dive of a bird as , where x represents the time the dive lasted in seconds and y represents the height of the bird in meters.
We can see that our given equation is a parabola. The leading coefficient is positive, so our parabola will be an upward opening parabola.
Upon graphing our given equation, we will get our required graph as shown in the attachment.
As x represents the time the dive lasted in seconds and y represents the height of the bird in meters, so the bird will be at the surface when the graph will cross x-axis.
We can see that graph crosses x-axis at .
Upon rounding to nearest tenth, we will get:
.
At the bird dives in water and goes down the water surface and at
the bird comes to the surface, therefore, the bird will be at surface after 9.2 seconds.
