A) (x, y) → (3x, 3y)
<h2>
Explanation:</h2>
When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:
- If k > 1, the object will be larger than the original one.
- If k < 1, the object will be smaller than the original one.
If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.
The only option that meets this requirement is:
A) (x, y) → (3x, 3y)
Whose scale factor is k = 3 making the dilated figure larger than the original one.
<h2>Learn more:</h2>
Dilation: brainly.com/question/10946046
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Answer:
x = 4
Step-by-step explanation:
A trapezium is a quadrilateral (has four sides and four angles) with one pair of parallel sides. A trapezium is said to be isosceles if the bases are parallel, the two other sides known as the legs are equal and diagonals of the trapezium are equal to each other.
In trapezoid ABCD, BC and AD are the diagonals.
Hence BC = AD (property of isosceles trapezoid)
9x + 1 = 12x - 11
Simplifying:
12x - 9x = 1 + 11
3x = 12
Dividing both sides by 2:
x = 4
Answer:
The dependent variable is number of calories burnt.
Step-by-step explanation:
The dependent variable of an experiment is the variable under study, i.e. it is the variable that is being observed for any changes, when the other variables are changed.
The independent variable is the variable that is being altered to observe the changes in the dependent variable.
A dependent variable can be affected by one or more than one independent variables.
In this case, the data provided represents the number of calories Maggie burned based on the number of miles she ran.
So, the amount of calories burnt is dependent upon the number of miles covered running.
So, the dependent variable is the number of calories burnt and the independent variable is the number of miles she run.
Thus, the dependent variable is number of calories burnt.
The larger fractron will be the fraction with the greater numerator.
ex. 4/5 is greater than 2/5
