When transforming a figure by dilation, the scale factor will be multiplied to the x and y points of the figure.
Given:
a.) The square is dilated by a scale factor of 2.5.
Given the scale factor of 2.5. The new coordinates of the resulting square must be:
Therefore, the answer is letter A.
Answer:
240
Step-by-step explanation:
Gain=25%
Gain=selling price - cost price
Gain = ((selling price - cost price )× 100)/ cost price
25c=(4800-c)100
25c=480000-100c
125c=480000
cost price = 3840
second statement
The selling price was 4080
Cost price 3840
therefore
Gain=selling price - cost price
Gain = 4080-3840
=240
Answer:
3
Step-by-step explanation:
3 even numbers 2,4,6
or 1/2
or 50%
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
- 6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
- 12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
<u>Slopes equal:</u>
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
<u>y-intercepts equal:</u>
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7