Answer:
Length, l=450 yards
Width, b=225 yards
Step-by-step explanation:
Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards
X=900/2=450 yards for long side.
The short side is 0.5x hence 0.5*450=225 yards
In conclusion, the long side is 450 yards while short side is 225 yards.
<span>the value of the digit in the tenths place is 5/10 or 0.5
</span>
the value of the digit in the thousandth place
is 5/1000 = 0.005
0.5 = 100 x 0.005
Therefore, the value of the digit in the tenths place is 100 times as much as the value of the digit in the thousandth place
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.
Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,
From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;
To find the price of the stock after 12 weeks, you would have to plug in 12 to x
That would make your equation: y = -0.91(12) + 103.47
Then, you solve:
-0.91(12) would be -10.12
Your equation will now look like this:
y = - 10.12 + 103.47
Then you add -10.12 to 103.47
-10.12 + 103.47 = 92.55
y = 92.55
After 12 weeks, the price of the stocks would be $92.55
The building blocks of geometry would be point line and plane.
