By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.
<h3>How to derive the equation of the axis of symmetry </h3>
In this question we know the locations of two points with the same y-value, which means that the axis of symmetry is parallel to the y-axis and that both points are equidistant. Thus, the axis of symmetry passes through the midpoint of the line segment whose ends are those points.
First, calculate the coordinates of the midpoint by the midpoint formula:
M(x, y) = 0.5 · (- 7, 11) + 0.5 · (3, 11)
M(x, y) = (- 2, 11)
Second, look for the first coordinate of the midpoint and derive the equation of the line associated with the axis of symmetry:
x = - 2
By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.
To learn more on axes of symmetry: brainly.com/question/11957987
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13 kids sandwiches X 4 inches = 52 inches
22 small sandwiches X 6 inches = 132 inches
17 medium sandwiches X 8 inches = 136 inches
17 large sandwiches X 12 inches = 204 inches
52+132+136+204= 524 inches = 43.66 feet = 43.7 feet
Answer:
The sample size required is, <em>n</em> = 502.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion is:
The margin of error is:
Assume that 50% of the people would support this political candidate.
The margin of error is, MOE = 0.05.
The critical value of <em>z</em> for 97.5% confidence level is:
<em>z</em> = 2.24
Compute the sample size as follows:
![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.24%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%7D%7B0.05%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D501.76%5C%5C%5C%5C%5Capprox%20502)
Thus, the sample size required is, <em>n</em> = 502.
Answer:
option 1 not function....
Answer:The first one is 2.333333333
Step-by-step explanation:Simplifying
5(2 + -1j) + (2j + -3) = 0
(2 * 5 + -1j * 5) + (2j + -3) = 0
(10 + -5j) + (2j + -3) = 0
Reorder the terms:
10 + -5j + (-3 + 2j) = 0
Remove parenthesis around (-3 + 2j)
10 + -5j + -3 + 2j = 0
Reorder the terms:
10 + -3 + -5j + 2j = 0
Combine like terms: 10 + -3 = 7
7 + -5j + 2j = 0
Combine like terms: -5j + 2j = -3j
7 + -3j = 0
Solving
7 + -3j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -3j = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -3j = 0 + -7
-3j = 0 + -7
Combine like terms: 0 + -7 = -7
-3j = -7
Divide each side by '-3'.
j = 2.333333333
Simplifying
j = 2.333333333
