D=4n-2, d+2=4n-2+2, d+2=4n
(d+2)/4=(4n)/4, 1/4d+1/2=n
n=1/4n+1/2
size 3=
n=1/4*3/1=3/4, 3/4+1/2=5/4=1 1/4
size 3=1 1/4
size 6=
n=1/4*6/1=6/4, 6/4+1/2=8/4=2
size 6=2
size 10=
n=1/4*10/1=10/4, 10/4+1/2=12/4=3
size 10=3
To factor the given function, find a term that is divisible by both terms. For this problem, the factor would be 2, since 2x^2 and -18 are both divisible by 2.
2(x^2 - 9)
You could further factor out x^2 - 9 because it is factorable by (x - 3) and (x + 3). Thus, it would be
2(x -3)(x+3)
Answer:
The slope would also be -4.
Step-by-step explanation:
This is because parallel lines have the exact same slope. Since these two lines are parallel and the first has a slope of -4, the second must as well.
this is a 2x2 system of equations.
Let:
-2x = 4y + 6 (1)
and
2(2y+3) = 3x - 5 (2)
Let's rewrite (1) as:
2x + 4y = -6 (1)
and (2) as:
3x - 4y = 11 (2)
Now, from (1)
Let's solve for x:
2x + 4y = -6
Subtract 4y from both sides:
2x + 4y - 4y = -6 - 4y
2x = -6 - 4y
Divide both sides by 2:
2x/2 = (-6 - 4y)/2
x = -3 - 2y (3)
Replacing (3) into (2)
3x - 4y = 11
3(-3 - 2y) - 4y = 11
Using distributive property:
-9 - 6y - 4y = 11
Add like terms:
-10y - 9 = 11
Add 9 to both sides:
-10y - 9 + 9 = 11 + 9
-10y = 20
Divide both sides by -10:
(-10y)/-10 = 20/-10
y = -2
Finally, replace the value of y into (3)
x = -3 - 2y
x = -3 - 2(-2)
x = -3 + 4
x = 1
Therefore the solution is :
x= 1 and y=-2
(x,y) = (1,-2)
Answer:
h = √(44) ft
Step-by-step explanation:
Just looked back and A is actually the area because the unit was ft².
Area of a right isosceles triangle is half the area of a square.
A = ½S²
in this case your side is h.
A = ½h²
2A = h²
√(2A) = h
√(2(22)) = h
√(44) = h
plug that in your calculator for the answer.
