First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.
(x - 4)(x - 4) = 25
Now we simplify to show it as a square.
(x - 4)^2 = 25
Next we take the square root of both sides
x - 4 = +/- 5
Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides
x = 4 +/- 5
4 + 5 = 9
4 - 5 = -1
Paralalell means that is has the same slope
y=mx+b
m=slope
y=-1x-2
slope=-1
the equation of a line that passes through the point (x1,y1) and has a slope of m is y-y1=m(x-x1)
given
(2,-2) and slope is -1
y-(-2)=-1(x-2)
y+2=-x+2
minus 2
y=-x
answer is y=-x
Answer:
29
Step-by-step explanation:
20^2+21^2=841
Answer:
1st number: 20
2nd number: 25
3rd number: 75
Step-by-step explanation:
x + y + z = 120
x = y - 5
z = 3y
plug that in!
(y-5) + y + (3y) = 120
remove the parenthesis (I used them to show you what I was replacing), and add like terms.
5y - 5 = 120
move -5 to the other side
5y = 120 + 5
5y = 125
divide both sides by 5
y = 25
now that you have one number, use the equations from before to solve for the rest!
x = (25) - 5
z = 3(25)
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x = 20
y = 25
z = 75
D>0<10 should be the answer
