Answer:
2916π in^2
Step-by-step explanation:
Step one:
given data
initial table diamter= 96in
we are told that the extension is 6 in over the edge
the new diameter is = 96+6+6= 108in
the radius is = 108/2=54in
we added 6 twice because it will be on the two sides of the diameter
Step two:
the expression for the area is
Area= πr^2
Area= π*54^2
Area= 2916π in^2
Answer
x=100
y= 4.5
x=6
y= 1.87
Step-by-step explanation:
Answer:
The answer to your question is:
Step-by-step explanation:
x² + 3x - 5
x² + 3x + (3/2)² = 5 + (3/2)²
(x + 3/2)² = 5 + 9/4
(x + 3/2)² = (20 + 9) /4
(x + 3/2)² = 29/4
x + 3/2 = ±√29 / 2
x 1 = -3/2 + √29/2 x2 = -3/2 - √29/2
x1 = 1.19 x2 = -4.19
Answer:
I think the second one
Step-by-step explanation:
Zero is not a natural number.
It is an integer, rational number ,and whole number
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
