Answer:
Step-by-step explanation:
We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).
By pythagoras we know that

and the perimeter is
.
Since P=24 and a=6 we have these equations:

From the last equation we have
. Replace h in the first equation we get that


and h=18-8=10
Answer:
See explanation
Step-by-step explanation:
The distance formula is given by:

We want to find the distance between (a,b) and (x,y).
The center of the habitat is missing in the question.
Assuming the center is (a,b) where a and b are real numbers, then we can use the distance formula to obtain:

For instance if the center of your habitat us (2,-1), then

Basically, we need to find the lowest common multiple of 10 and 15.
that multiply would be 30. That means that the bells will ring together in 30 minutes.
So 30 minutes from 6 p.m. is 6:30 p.m. <==
Answer:
I think u forgot to put a photo because I really don't understand
Step-by-step explanation:
not sure
Answer:
Then the solution is (4, 6).
Step-by-step explanation:
Let's use the substitution method:
First multiply the second equation by 4, obtaining 4y = -2x + 32.
Now substitute (-2x + 32) for 4y in the first equation:
3x + (-2x + 32) = 36, or
3x - 2x + 32 = 36. or
x = 4.
If x = 4, then the second equation yields y = (-1/2)(4) + 8, or
y = -2 + 8, or y = 6
Then the solution is (4, 6).
Check, using the first equation:
Does 3(4) + 4(6) = 36? Does 12 + 24 = 36? YES