Evaluate the given expression if x = 25, y = 10, w = 11, and z = 18.
(see the image)
![Evaluate the given expression if x 25 y 10 w 11 and z 18 see the image class=](https://us-static.z-dn.net/files/d24/c9d2fe268ce174533b221d25a42f5e24.jpg)
Answer:
D
Step-by-step explanation:
So we have the expression:
[tex](x-y)^2+10wz[/tex]
And we want to evaluate it when x=25, y=10, w=11, and z=18.
So, substitute these values for the variables:
[tex]=(25-10)^2+10(11)(18)[/tex]
First, subtract within the parentheses:
[tex]=(15)^2+10(11)(18)[/tex]
Square 15:
[tex]=225+10(11)(18)[/tex]
Now, multiply the terms on the right. 10 times 11 is 110:
[tex]=225+110(18)[/tex]
Multiply:
[tex]=225+1980[/tex]
Finally, add:
[tex]=2205[/tex]
So, our answer is D.
And we're done!