Answer:
Yes
Step-by-step explanation:
The line is pointing up therefore the slope will be positive
Answer:
C) 101.5 pi in^2
Step-by-step explanation:
A cylinder's area is found by next formula:
This is because the cylinder has two circle bases and its lateral area is a rectangle whose base is the perimeter of a circle and whose height is the cylinder's height. My last step was to take the common factor.
From the figure you get the cylinder's height and the base diameter's length, which is double of radius'. Since we need "r":
Now, we replace height and radius in the formula:
Answer:
y=0x+4
Step-by-step explanation:
Hello!
We can solve for the vertex by completing the square. Begin by factoring out 6 from the equation to simplify the process:
6(x² - 8x) - 54 = 0
To complete the square, we must look at the first two terms (x² - 8x).
Remember that squaring a binomial uses the format a² + 2ab + b². We are already given a² and 2ab², so solve for b:
-8 / 2 = -4. This is the value of b.
We can rewrite this as:
(x - 4)²
However, this produces +16 which much be taken into account. Substitute (x - 4)² into the original equation:
6(x - 4)² - 54 = 0
Multiply 16 by the term in the front and subtract to cancel out this term:
6(x - 4)² - 54 - (6 · 16) = 0
Simplify:
6(x - 4)² - 150 = 0
In this form, the vertex is given as:
a(x - h)² + k, where h = x-coordinate and k = y-coordinate of the vertex.
In this instance, h = 4 and k = -150, so the coordinates of the vertex are:
(4, -150)
We can take out 7 because all of the terms include it:
7(-x^2+2x-3)
Take out negative 1:
-7(x^2-2x+3)
We cannot factor any further so the final answer is:
-7(x^2-2x+3)