200.7 I hope this is the answer
Answer:
see explanation
Step-by-step explanation:
Check the value of the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real
• If b² - 4ac = 0 roots are real and equal
• If b² - 4ac < 0 then roots are not real
given (x - a)(x - b) = k² ( expand factors )
x² - bx - ax - k² = 0 ( in standard form )
x² + x(- a - b) - k² = 0
with a = 1, b = (- a - b), c = -k²
b² - 4ac = (- a - b)² + 4k²
For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0
Hence roots of the equation are always real for a, b, k ∈ R
Area of the 2 right triangles =2 (1/2 x 1.5 x 2 ) = 3 in²
Area of the 3 rectangles = (1.5 + 2 + 2.5) x 11 = 66 in²
Total Surface area = 3 + 66 = 69 in²
Answer: 69 in²
Answer:
Part A: (0.25+0.30+0.75) - 0.20
Part B:
Step-by-step explanation:
The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).
So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:
(0.25+0.30+0.75) - 0.20
The simplified equation will be:
1.3 - 0.20
= 1.1
I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.
Best of luck, and have a blessed day! For any question or comments, please say so!
