Answer:
15.8
Step-by-step explanation:
We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find
t=4000−−−−√4=15.8
So, the hammer reaches the river after 15.8 seconds.
Answer:
<h2>
3y + 2 = 8</h2>
Step-by-step explanation:
solve A
2y - 3 = 19
2y = 22
y = 11
solve B
3y + 2 = 8
3y = 6
<h2>
y = 2</h2>
solve C
4y - 4 = -4
4y = 0
y = 0
solve D
5y + 1 = 10
5y = 9
y = 9/5
Answer:
4
Step-by-step explanation:
The volume of a sphere is equal to 4/3πr³.
Set up the equation;
4/3πr³=256π/3
Multiple both sides by 3/(4π):
r³=64
r=∛64=4 (ans)
The slope is -1/2. When it’s in the equation like that, the slope is always the number that has the letter X next to it.
Answer:
<em><u>x=-6, y=-2</u></em>, (As a point) (-6, -2).....The point form is not necessary unless you want to solve the system (of equations) by graphing.
Step-by-step explanation:
By substitution:
x-y=-4 By adding y on both sides,
x=y-4
Now you can substitute x for the expression (y-4)
Plug the (y-4) as x in the other equation.
So -2x+3y=6 becomes
-2(y-4)+3y=6
Now solve:
-2(y-4)+3y=6 distributes out to be
-2y+8+3y=6 Now combining like terms
y+8=6 Subtract 8 on both sides to isolate the variable
<u><em>y=-2</em></u>
Now plug the value -2 in where the y is in any equation (preferably the easier/less complicated one) and solve for x.
So x-y=-4 becomes
x-(-2)=-4
=x+2=-4
=<u><em>x=-6</em></u>
