Answer:
a. 6.93 b. 5 c. 6.72 d. 3.46
Step-by-step explanation:
a. √4^2- 4(4)(-2)
Evaluate the power
√16-4×4(-2)
Multiply
√16-16(-2) = √16-(-32) = √16+32 Since 2 negatives equal a positive.
Add
√48
Find square root
√48= 6.92820323028-- rounded-- 6.93
b. √1^2-4(1)(-6)
Evaluate the power
√1-4(1)(-6)
Multiply
√1-(-24) = √1+24 Since 2 negatives equal a positive.
Add
√25
Find the square root
√25=5
c. √1^2-4(1)(-11)
Evaluate the power
√1-4(1)(-11)
Multiply
√1-(-44) = √1+44 Since 2 negative equal a positive.
Add
√45
Find the square root
√45= 6.7082039325-- rounded-- 6.72
d. √6^2-4(3)(2)
Evaluate the power
√36-4(3)(2)
Multiply
√36-24
Subtract
√12
Find the square root
√12= 3.46410161514-- rounded-- 3.46
We can solve this problem by division- What information can we gather?
- The ball reaches half its original hight each time it bounces, which is another way of saying it divides by 2 each time
- If we divide 16 by 2, we get 8.
- If we divide 8 by 2, we get 4
- If we divide 4 by 2, we get 2.
<em>The answer is 2</em>
Hope this helps!
Originally, you would get 6.56666 repeating as your answer. When you end up rounding, or estimating it, it then becomes just simply 7.
