A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
You can rearrange f(x) as:
f(x) = 3(x^2 + 3x) + 12 = 3(x+1.5)^2 +5.25
So you can see the vertex is at (0,5.25) when x = -1.5
The axis of symmetry then lies in x = -1.5
Answer:
y=.5x-2
Step-by-step explanation:
If one line is perpendicular to another that means that their slopes are negative reciprocals
which means that the slope (or m in y=mx+b) is .5
so far we have
y=.5x+b
to solve for b we plug in (8,2)
2=.5(8)+b
2=4+b
-2=b
therefore our equation is
y=.5x-2
Answer:
false
Step-by-step explanation:
Answer:
Hey Guys!!! Here's the answer===>The body maintains homeostasis by eliminating these substances through the urinary and digestive systems. An individual simply urinates and defecates the toxins and other nasty things from the blood, restoring homeostasis to the human body
Step-by-step explanation:
