Remark
The easiest way to do this is just to find the x and y intercepts when the center of dilation is 0,0 and the scale factor is 1/2
Solution
On the x axis, the value of x is 8 before the dilation takes place. When you dilate by 1/2 x becomes 8*1/2 = 4
On the y axis, the value of y is -6 before the dilation takes place. When you dilate by 1/2, y becomes -6*1/2 = -3
Now join the points (4,0) and (0,-3) That is your new triangle with a dilation of 1/2.
Answer:
B(3.5, 0.5)
Step-by-step explanation:
Given:
A(5,5), Xa=5, Ya=5
C(3,-1), Xc=3, Yc=-1
To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.
B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)
=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values
=(5/4+3*3/4, 5/4+3*(-1)/4)
=(14/4,2/4)
=(3.5, 0.5)
Answer:
D 36
Step-by-step explanation:
<em>Write the information algebraically</em>
c = 3a
c + a = 48
c = children, a = adults
<em>In the second sentence (in bold), we can replace c with 3a</em>
c + a = 48 → 3a + a = 48
<em>Simplify</em>
3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)
<em>We can then substitute or plug in a = 12 into the original equation:</em>
c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)
<h3>There are 36 children</h3>
Answer: (-4,5)
Step-by-step explanation:
Rotating 90 deg. counterclockwise maps (x,y) onto (-y,x), so (5,4) maps onto (-4,5).
Answer:
8 words per min
Step-by-step explanation:
