Answer:
-2.82842712475
Step-by-step explanation:
x^2+10+25=27
x^2+35=27
x^2+35-27=0
x^2+8=0
8=-x^2
SQR8=-x
-SQR8=x
Answer: x = 7, y = -3
<u>Step-by-step explanation:</u>
3y = 26 - 5x --> added 5x to both sides to get: 5x + 3y = 26
Elimination method (I am going to eliminate "x":
5x + 3y = 26 → 6(5x + 3y = 26) → 30x + 18y = 156
6x + 7y = 21 → -5(6x + 7y = 21) → <u> -30x - 35y</u> =<u> -105</u>
-17y = 51
<u> ÷-17 </u> <u>÷-17</u>
y = -3
Now, input y = -3 into one of the original equations to solve for "x":
3y = 26 - 5x
3(-3) = 26 - 5x
-9 = 26 - 5x
-9 -26 = -5x
-35 = -5x
7 = x
Answer:
The largest area enclosed is A = xy = 6 feet 6 feet = 36
Step-by-step explanation:
i) The perimeter of the area is 2(x + y) =24 ∴ x + y = 12 ∴ y = 12 - x
ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x -
iii) differentiating both sides of the equation in ii) we get
⇒ x = 6 feet
iv) Differentiating both sides of equation in iii) we get = -2
Therefore the area enclosed is maximum as the double derivative is negative
v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet
vi) therefore the largest area enclosed is
A = xy = 6 feet 6 feet = 36
Answer:
The slope is 0, and
the y-intercept is (0, 0)
In order to find the graph of "f(x)", we need to graph the line using the slope and y-intercept, or two points.
We have a circle of radius 5 m inside a square of side 10 m. The shaded area is:
Now, we calculate the area of the square and the circle:
Finally, the shaded area is: