Point D would be translated to the point (0, 5).
<h3>What is translation?</h3>
Translation is an aspect of geometry that moves plane shapes from one point to another along the cartesian coordinates without changing the form in which the shape exists.
Analysis:
Point D is at (0,0) if it is translated up from 0,0 the point D moves 5 units along the y-axis while x axis remain same. So that the new point of D becomes (0,5)
In conclusion, the point D will land at point (0,5)
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Answer:
Median is the center of the numbers that you were given
Mode is the number that appears most often
Range is the difference between the lowest and highest numbers
Mean is the average
Step-by-step explanation:
Median: line all numbers up in order from greatest to least and then count to the center if there are 2 in the center add them and divide them by 2.
Mode: Count how many of each number
Range: Subtract the largest number from the smallest. 17-12=5 5 is the range
Mean: Add all numbers up and divide by the amount of numbers.
1+3+5+3=12
12/4 = 3, three is the mean
The answer is h = 5 m, w = 2 m
The volume of a rectangle is: V = w * l * h (w - width, l - length, h - height)
A rectangle is square based, so: w = l
V = w * w * h = w² * h
<span>The width of a square-based storage tank is 3m less than its height: w = h - 3
V = 20 m</span>³
w² * h = 20
(h - 3)² * h = 20
(h² - 2 * h * 3 + 3²) * h = 20
(h² - 6h + 9) * h = 20
h² * h - 6h * h + 9 * h = 20
h³ - 6h² + 9h = 20
h³ - 6h² + 9h - 20 = 0
h * h² - 5h² - h² + 5h + 4h - 4*5 =0
(h * h² - 5 * h²) - (h * h - 5h) + (4*h - 4*5) =0
h²(h - 5) - h(h - 5) + 4(h - 5) = 0
(h - 5)(h² - h + 4) = 0
We have that one solution is:
h - 5 = 0
h1 = 5
Other two solutions are:
h² - h + 4 = 0
Quadratic equation is: ax² + bx + c = 0
The only integer value is h1 = 5 m
h = 5 m
w = h - 3 = 5 - 3 = 2 m