Just plug stuff in
(0, 32)
(100, 212)
(-20, -4)
(10, 50)
<span>It is required to find the highest altitude (in meters) .
</span>
For the given <span>quadratic function ⇒⇒ A(t) = −(t − 11)² + 115</span>
From the attached figure which represents the graph of the given function
the maximum will be at point (11,115)
So, <span>
the highest altitude (in meters) = 115 meter</span>
<span>
and it will reach it at t = 11 </span><span>
seconds</span>
You need to know the value of X to determine whether or not the equation is true.
Answer:
Side a = 35ft
Side b = 35ft
Side c = 20ft
Step-by-step explanation:
The formula for the perimeter of a triangle = Side a + Side b + Side c
In an isosceles triangle, 2 sides are equal to each other.
So, Side a = Side b
In the question, we are told that:
The two equal sides are each 5 ft less than twice the length of the third side.
Hence,
a = 2c - 5
b = 2c - 5
P = 90ft
P = a + b + c
90 = 2c - 5 + 2c - 5 + c
Collect like terms
90 = 5c - 10
90 + 10 = 5c
100 = 5c
c = 100/5
c = 20
The length of the third side = 20ft
a = 2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
b =2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
Therefore,
Side a = 35ft
Side b = 35ft
Side c = 20ft
Answer:
3.5
Step-by-step explanation:
To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y
For this case, when x =1, y=3.5
when x=2, y=7
Taking in case 1, y/x = 3.5/1 = 3.5
In case 2, y/x= 7/2 = 3.5
But you know that the constant of proportionality k is given by;
y=kx------------------------making k subject of formula
y/x=k
Hence in this case, your constant of proportionality is 3.5