We are given a line segment with two points on each end. Rebecca draws two arcs with equal radius from each point. Now, the intersection of the two arcs is the midpoint of the line. This can be explained by the radius of the arcs. Since they are equal, meaning they have the same distance from each point. Thus, the midpoint of the line.
Answer:
The correct answer is - C. 11.45 ounces to 11.75 ounces.
Step-by-step explanation:
According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.
That is:
μ±δ
From the given information, the mean is
μ = 11.60
and the standard deviation is
δ = 0.15
We substitute the given parameters to obtain;
11.60±0.15
11.75 and 11.45
This means the lower limit is
11.45
and the upper limit is
11.75
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>

<u>Part B</u>

<u>Part C</u>

Answer:
see explanation
Step-by-step explanation:
x² + 3x + 7 = 5 ( subtract 5 from both sides )
x² + 3x + 2 = 0 ← in standard form
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x ( zero product rule )
x + 2 = 0 → x = - 2
x + 1 = 0 ⇒ x = - 1
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x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )
3x² - 5x - 2 = 0 ← in standard form
(3x + 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - 
x - 2 = 0 ⇒ x = 2
------------------------------------------------------------
(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify
x² + 6x + 9 + 4x = 0
x² + 10x + 9 = 0 ← in standard form
(x + 9)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x + 1 = 0 ⇒ x = - 1