My answer needs to be at least 30 characters long and I need to answer to ask another question
Answer: Dist = 8.94, midpoint = (1,6)
Step-by-step explanation:
Basically, the Distance between the points is the hypotenuse of a right triangle, whose legs are parallel to the x and y axes.
Leg 1 = x2 - x1 = 5 - -3 = 8
Leg 2 = y2 - y1 = 8-4 = 4
Hypotenuse = (8^2 + 4 ^2) ^ .5 = (64+16)^.5
Sqrt(80) = 8.94
The midpoint is aligned with the midpoint of each leg
X = 5 - 8/2 = 1
Y = 8 - 4/2 = 6
So (1,6) is the midpoint
Answer:
9 units
Step-by-step explanation:
Since they lie on the same vertical line,
There's only vertical movement of:
14-5 = 9 units
So set up the equations
q-12=d
25q+10d=1105
plug in q-12 as d in the second equation:
25q+10q-120=1105, then simplify:
35q=1225
q=35
since there's 12 fewer dimes, we know that there's 23 dimes and 35 quarters.
Answer:
d) 5 lollipops each and 3 left over
Step-by-step explanation:
To find out how many each of them get, you need to find the total amount of lollipops to be shared equally.
Total No. of lollipops = 3 + 5 + 7 + 4 + 9
= 28
No. of lollipops each of them get = 28 ÷ 5
= 5 R3
(To find the remainder of something, you have to know how much is the quotient (which is 5 in this case), multiply it by the divisor (which is also 5 in this case) then minus that number from the total (which is 28 in this case) )
Additional working:
5 × 5 = 25
28 - 25 = 3 (remainder)
