Length = x + 2 (because it is 2 cm more than x)
Width = 2x - 5 (5 cm lest than 2x)Area = 54 cm2 this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54 (this is you area)
Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0 then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4 and x = (1 - 22.65) / 4 x = 5.91 and x = -5.41 Check the validity of the x values by adding them to the length and width. If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2 (positive value.)Width = 2(5.91) - 5 ( positive value.) x = 5.91 If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x. The answer is x = 5.91
Hope I helped and sorry it was really long
Answer:
f(x) = -3x + 12
Step-by-step explanation:
The chart could be represented like this:
x y
0 12
1 9
2 6
3 3
Suppose that f(x) = y
And substitute x values.
y = -3x + 12
"x = 0"
y = -3(0) + 12
y = 0 + 12
y = 12
"x = 3"
y = -3(3) + 12
y = -9 + 12
y = 3
From the results, it corresponds to the function.
Answer:
Step-by-step explanation:
Hello!
We can use the special binomial product formulas:
<h3>Simplify</h3>
The simplified form is
Answer:
176+216+75=467
500-467=33
so 33 is the answer
Step-by-step explanation:
