Answer:
2nd option
Step-by-step explanation:
trinomial is 2x² + 10x -4 = 0
a = 2
b = 10
c = -4
(-b±√b²-4ac) / 2a
= [-10±√100-4(2)(-4)] / 2
= (-10±2
) / 4
= (-5+)/2, = (-5-)/2 (simplified)
The answer to 8a. is 17, the answer to 8b. is 3.9, the answer to 8c. is 1 / 2, the answer to 8d. is 7 7 / 8, the answer to 9a. is commutative property, the answer to 9b. is multiplicative identity property, the answer to 9c. is associative property, and the answer to 9d. is additive inverse property.
Regarding the whole "explain using mental math" thing, I pretty much just used the fact that 8a. and 8b. both had the same number of decimal places. For 8c., I just made each number have a denominator of 10. And last, for 8d., all of the denominators were already the same, which made it pretty easy. I apologize for this section of my answer being so informal lol, I haven't had to do these kinds of problems in like 5 years <span />
The value of 
in the given triangle ABC is 
. Option D is correct.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.
Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.
In the given figure, the side opposite to the angle 
is AC = 4 and the hypotenuse is AB = 5.
So, the sine ratio will be equal to,
Therefore, the value of in the given triangle ABC is . Option D is correct.
Learn more about trigonometric ratios here:
brainly.com/question/1201366
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Answer:
choose a random number that isn't 12 (like 23) and multiply it by 3, then add 12. Then set up the division problem you have to generate with that new number as the number being divided, and the number you first chose as the number you are dividing it by. You should have a division problem that solves to equal 3 with a remainder of 12.
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