Answer:
r = π C , C = 12 − x , t h e n r = π ( 12 − x ) = 12 π − π x
Step-by-step explanation:
So cutting the wire of 12 m in length into two pieces, x and 12-x. The x side will be made into the square so that the square has sides x/4 and an area of (x/4)^2. This means the length of the wire 12-x will be the circumference of the circle. So if: r = π C , C = 12 − x , t h e n r = π ( 12 − x ) = 12 π − π x i hope this is correct
16x +23
-16 -16
X = 7....................
Answer:
x = i and x = i
Step-by-step explanation:
Given
+ 6x² + 5 = 0
Using the substitution u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Convert solutions back into terms of x
x² = - 1 ⇒ x = = i
x² = - 5 ⇒ x = = i
9514 1404 393
Answer:
y = 1/3x +6
Step-by-step explanation:
The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:
-1/(-3) = 1/3
The point-slope equation is then ...
y -k = m(x -h) . . . . . for line of slope m through point (h, k)
Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...
y -5 = 1/3(x +3)
y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5
y = 1/3x +6 . . . . slope-intercept equation of the line