Answer:
<em>B</em>
Step-by-step explanation:
<u>Dilations</u>
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B
Answer:
y = - 9 and x = 7
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (7, - 9) with y- coordinate - 9 , then
y = - 9 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The line passes through (7, - 9) with x- coordinate 7 , then
x = 7 ← equation of vertical line
First we need to calculate lenght of each side of triangle.
we use formula for finding distance between 2 points in xy coordinate system.
AB = √13
BC = √13
AC = √26
In order for triangle to be equilateral it must have all 3 sides equal lenght which in this case isn't correct. In order for it to be right it has to suit pythagoras theorem.
AC^2 = AB^2 + BC^2
expressing values of AC, AB and BC we can see that condition for right triangle is fulfilled.
Answer is RIGHT.
Answer:
Job A pays 4.75 more per hour than job B
Step-by-step explanation:
A= 70 per hour
B= 65.25 per hour
The answer is 69 dollars and the titian would be 69 dollas