Given the expression below, evaluate if a=4, b=9, c=−10, and d=−3

Question

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2a+b√+c2|4+d|

Answer 1

Given a=4, b=9, c=-10, and d=-3, we can substitute these values into the expression:

2(4) + 9√(-10^2) |4 + (-3)|
= 8 + 9√100 |-3+4|

Next, we simplify the expression within the absolute value:

= 8 + 9√100 |1|

Since the square root of 100 is 10, we have:

= 8 + 9(10) |1|
= 8 + 90 |1|

Finally, we simplify the expression within the absolute value:

= 8 + 90 |1|
= 8 + 90 (since the absolute value of 1 is 1)
= 8 + 90
= 98

Therefore, when a=4, b=9, c=-10, and d=-3, the expression 2a+b√+c2|4+d| evaluates to 98.