Given the expression below, evaluate if a=4, b=9, c=−10, and d=−3
.
2a+b√+c2|4+d|
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.
To evaluate the given expression with the given values of a, b, c, and d, follow these steps:
Step 1: Substitute the values of a, b, c, and d in the expression:
2(4) + 9√ + (-10)2 |4 + (-3)|
Step 2: Simplify the expression inside the square root (√):
2(4) + 9√ + (-10)2 |4 + (-3)|
= 8 + 9√ + 100 |1|
Step 3: Simplify the absolute value expression:
8 + 9√ + 100 |1|
= 8 + 9√ + 100 * 1
= 8 + 9√ + 100
= 108 + 9√
Therefore, the value of the expression when a=4, b=9, c=-10, and d=-3 is 108 + 9√.