9514 1404 393
Answer:
3. 7
Step-by-step explanation:
The distance formula applies in 3 dimensions as well as 2.
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
d = √((-2)² +6² +3²) = √(4 +36 +9) = √49
d = 7
The distance between the two points is 7 units.
Answer: The total cost is
assuming the cost for 1 adult is
and the cost for 1 child is 
Step-by-step explanation:
Assuming the cost for 1 adult is
and the cost for 1 child is
:
and 
Then the expression that gives the total cost
is solved as:

Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10

∴ y=5
∴ the values of x and y are x=0 and y=5
I think....
x is the radius of your circle
x+7 is going to be your hypotenuse
that’s all i remember
Answer:
401.92 in²
Step-by-step explanation:
S.A. = 2πr²+2πrh
S.A. = 2π4²+2π4·12
S.A. = 100.48 + 301.44
S.A. = 401.92 in²