√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65
Answer:
Cost of 45 screwdrivers will be = $900
Step-by-step explanation:
Last year 15 electric screwdrivers cost to the local hardware store = $300
So per screwdriver cost = 
= 
= $20
Now we have to calculate the cost of 45 screw drivers.
Since cost of 1 screwdriver = $20
So cost of 45 screwdrivers = 20×45 = $900
9514 1404 393
Answer:
(-3, 3)
Step-by-step explanation:
The blanks are trying to lead you through the process of finding the point of interest.
__
The horizontal distance from T to S is <u> 9 </u>. (or -9, if you prefer)
The ratio you're trying to divide the line into is the ratio that goes in this blank:
Multiply the horizontal distance by <u> 2/3 </u>. (9×2/3 = 6)
Move <u> 6 </u> units <u> left </u> from point T.
The vertical distance from T to S is <u> 6 </u>.
Multiply the vertical distance by <u> 2/3 </u>. (6×2/3 = 4)
Move <u> 4 </u> units <u> up </u> from point T.
__
Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).
Answer:
x = -8
y = -6
Step-by-step explanation:
y = -2x - 22
y = x + 2
x + 2 = -2x - 22
x + 2x = -22 - 2
3x = -24
x = -24 : 3
x= -8
y = -8 + 2
y = -6
If you follow the steps of PEMDAS it should be Multiply by 3,subtract 2.