<span>1/8(y−5)²=x+3
(y-5)² = 8(x+3)
The formula of parabola in standard form
(y-k)² = 4p(x-h), (h, k) - vertex, (h+p, k) focus
For our parabola
vertex (-3,5)
4p=8
p=2
This is a horizontal parabola because y².
So to find the coordinates of the focus we need to add to x coordinate of vertex.
</span>(-3+2, 5) = (-1,5) focus
Correct answer is (-1,5).<span>
</span>
Answer:
definition of constant
Step-by-step explanation:
the definition of constant is occurring countinuosly over a period of time
Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1
To eliminate you need to "subtract", so you need to multiply one of the equations by -1.
4x + 10y = 22
-4x -3y = -1
------------------
0 + 7y = 21
y = 3
Now plug 3 into either one of the equations to get x.
Answer:
Jake is 9, and Jake's dad is 43.
Step-by-step explanation:
Ok, let's start off by putting a variable for Jack's age, A.
We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.
Now let's make an equation:
52 = x + 5x - 2
We need to isolate the x-values so we need to add 2 on both sides:
54= x + 5x
No we need to add the like terms:
54 = 6x
Finally, we just divide by 6 on each side.
Now we know X = 9 but we're not done yet :)
So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.
He will have to take out 20 hectograms in order to meet the weight limit.
