First, find the area of the triangle. The height is 9 and the base is 33. So, multiply the base times height, which is 297. Now, divide 297 by 2. This equals 148.5. Secondly, find the area of the rectangle. Multiply the length times the width. 38•20= 760. Now, add the areas of the two shapes. 148.5+760= 908.5. So, 908.5 is your final answer. :)
Hope this helps!
The x and the y intercept are x = 1.5 and y = -3
<h3>How to determine the x and the y intercept?</h3>
The linear equation is given as:
y + 5 = 2(x + 1)
Set x to 0 to determine the y-intercept.
So, we have:
y + 5 = 2(0 + 1)
This gives
y + 5 = 2
Evaluate
y = -3
Set y to 0 to determine the x-intercept.
So, we have:
0 + 5 = 2(x + 1)
This gives
5 = 2(x + 1)
Evaluate
x = 1.5
Hence, the x and the y intercept are x = 1.5 and y = -3
Read more about intercepts at
brainly.com/question/24990033
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<span>The stadium floor has a diameter of 210 yards, therefore the radius would be 105 yards
The Area of a circle is Pi times radius^2
A = Pi x 105yd^2
A = Pi x 11025yd
A = </span>34636.06 yd<span>
</span>
Answer:
The value of a+b is 4.
Step-by-step explanation:
The given function is
![\[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.\]](https://tex.z-dn.net/?f=%5C%5Bf%28x%29%20%3D%20%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bcl%7D%209%20-%202x%20%26%20%5Ctext%7Bif%20%7D%20x%20%5Cle%203%2C%20%5C%5C%20ax%20%2B%20b%20%26%20%5Ctext%7Bif%20%7D%20x%20%3E%203.%20%5Cend%7Barray%7D%20%5Cright.%5C%5D)
It is given that for some constants a and b the function f has the property that f(f(x))=x for all x.
For x≤3,
For x>3,
At x=0,
Using property f(f(x))=x,
.... (1)
At x=1,
Using property f(f(x))=x,
.... (2)
Subtract equation (2) from equation (1).
Divide both sides by 2.
Substitute this value in equation (1).
The value of a is 
and value of b is 
. The value of a+b is
Therefore the value of a+b is 4.
77/15 is the answer to your question
