Answer:
Bb
Step-by-step explanation:
<span>This construction uses Constructing the Perpendicular Bisector of a Line Segment to find the midpoints of the sides.
</span>To construct a midsegment, find the midpoint of two sides. This can be done by drawing a perpendicular bisector on one side of the triangle<span>.
</span>
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Example 1
Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.
Solution
Given, y = x2 + 4x + 1
By applying function notation, we get
f(x) = x2 + 4x + 1
Evaluation:
Substitute x with 3
f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22
Example 2
Evaluate the function f(x) = 3(2x+1) when x = 4.
Solution
Plug x = 4 in the function f(x).
f (4) = 3[2(4) + 1]
f (4) = 3[8 + 1]
f (4) = 3 x 9
f (4) = 27
Example 3
Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).
Solution
y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3
Substitute x with (2a + 3).
f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3
= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
Answer:
270 feet
Step-by-step explanation:
For clarity, the image below represents the problem. Let's call h the height of the tower. Notice that it forms 2 triangles that are similar to side-angle-side. So, we can calculate the higher of the tower by similar triangles:
higher1/base1 = higher2/base2
h/135 = 6/3
h/135 = 2
h = 270 ft
The z-score is the number of a data value that represents how many standard deviation is it from the mean. It is calculated from the ratio of the difference of a data value and the population mean and the standard deviation of the data set. Having a z-score of zero would mean that the value is the same as the mean. A z-score that is greater than 1 would mean that the value is x standard deviation greater than the mean. If for a certain data, a z-score of positive 2.5 is calculated, then it means that the data is 2.5 standard deviations away and above from the mean of the whole set. In a normal
