Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

Here:

Thus,



Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
The sum of three primes is 18 so they must all be smaller than 18 as well.
Primes less than 18=2,3,5,7,11,13,17
2,3, and 13
2,5, and 11
There are two solutions...
Answer:
192 centimeters cubed
Step-by-step explanation:
3 x 8 x 4 = 96 for block B
4 x 3 x 8 = 96 for block A
add them together and get 192 cm^3
Answer:
The solution is (3,13) and (-1,-3). So none of the mentioned options is correct.
Step-by-step explanation:
Given that


Now, by susbstituting the value of 'y' from equation i to equation ii, we get






Now by factorization, equation iii can be written as



x = 3 and x = -1
By putting the values of x in equation i, we get
y = 4(3) + 1
y = 12 +1
y = 13
and
y = 4(-1) + 1
y = -4 +1
y = -3
Therefore, the solution is (3,13) and (-1,-3). So none of the mentioned options is correct.
Answer:
15y^2 - 21y
Step-by-step explanation:
A = LW
A = (5y - 7)(3y)
A = 15y^2 - 21y