Answer:
(13, -3)
Step-by-step explanation:
slope = -5/7
(6,2)
m = ( y2 - y1) / ( x2 - x1 )
-5/7 = ( y2 - 2) / ( x2 - 6 )
-5 = y2 -2
+2 +2
-3 = y2
7 = x2 - 6
+6 +6
13 = x2
Check answer again by log them in:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -3 - 2 ) / ( 13 - 6 )
m = -5 / 7
I hope this helps!
Answer:
the slope is 60
Step-by-step explanation:
the slope is the number multiplying the x value, or t in this case.
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = 
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
The area of square: s · s = s²
The area of rectangle: (s + 6) · s = s(s + 6)
So:
s² + s(s + 6) = 56
s² + s(s + 6) - 56 = 0
Answer D.
Answer:
7 hours 30min
Step-by-step explanation:
Step one :
Given data
We are told that Erica can paint 1 room in 5hours
Her work rate is 1/5 room per hour
And also with the assistance of her friend they can paint 1 room in 3 hours
Hence their combined work rate is 1/3 room per hour
Step two
The combined work expression is
1/A+1/B=1/T
Where A=Erica's work rate
B=Rachael's work rate
T=combined work
1/5+1/B=1/3
1/B=1/3-1/5
1/B=5-3/15
1/B=2/15
B=15/2
B=7.5 hours
It will take Rachel 7 hours 30min to paint the room
