She divides it into 4 bags ...
1/2 ÷ 4 = 1/2 x 1/4 = 1/8 pound
There is 1/8 pound of trail mix in each bag.
Answer:
10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)
Step-by-step explanation:
The sum of the two roots is ...
... (5 -3i) +(5 +3i) = 10
In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.
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<em>How Do We Know?</em>
When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...
... (x -a)(x -b) = x² -(a+b)x +ab
Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.
Answer:
Addition Property of Equality
Step-by-step explanation:
Given expression:
To find the missing justification.
We will evaluate the given expression and justify the step.
Using Addition Property of Equality( by this property of equality we can add a number to both sides of the equation without effecting the equality of the equation)
Adding 
to both sides of the equation.
The measure of the missing side of the right triangle are as follows;
adjacent side = 5√2
hypotenuse = 10
<h3 /><h3>How to find the side of a right triangle?</h3>
A right angle triangle has one of its angles as 90 degrees.
Therefore,
using trigonometric ratios,
tan 45 = opposite / adjacent
tan 45 = 5√2 / a
adjacent side = 5√2 / 1
Therefore,
adjacent side = 5√2
sin 45 = opposite / hypotenuse
hypotenuse = 5√2 / √2 / 2
hypotenuse = 5√2 × 2 / √2
hypotenuse = 10
learn more on right triangle here: brainly.com/question/6322314
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