The area is given by
A = (5 + 2x) * (10 + 2x) - 50
Rewriting we have:
A = 50 + 10x + 20x + 4x ^ 2 -50
Rewriting we have:
A = 4x ^ 2 + 30x
Substituting the value of the area we have:
54 = 4x ^ 2 + 30x
Rewriting:
4x ^ 2 + 30x - 54 = 0
We look for the roots:
x1 = -9
x2 = 3/2
We take the positive root:
x2 = 3/2
Answer:
the value of x is:
x = 3/2
Answer:
p is false, q is true and r is true
Step-by-step explanation:
- For (p ∨ q) → (r → p) to be false, the proposition (p ∨ q) must be true and (r → p) false.
- If (r → p) then r must be true and p is false, we now have truth values for these two
- Now if (p v q) is true, either p, q or both must be true. Since p is false, it follows that q must be true.
Answer:
It is a mixture of the two.
Step-by-step explanation:
Standard form would be 70,000
Word form would be seventy thousand
Answer:
2x + 3y = -13
Step-by-step explanation:
We can first find the equation of the line in point-slope form. The slope of the line is given by 
, which is (-5-(-3))/(1-(-2)), or -2/3. The equation for a line in point-slope form is 
where 
is the slope and 
is a point on the line -- in this case, we may use (1, -5). Therefore, the equation for the line is y + 5 = -2/3 (x-1).
The question asks for the equation of the line in standard form -- which is 
. We can get this by simplifying the equation above to get
.
