Answer:14in
Step-by-step explanation:
volume(v)=196π
Height(h)=1
Radius=√(v ➗ π x h)
Radius=√(196π ➗ πx1)
Radius=√(196)
Radius=14in
The slope is the rise over run. Basically, any line has a constant increase. If you are looking at a line on a graph and each point it meets at is 1 up and 1 over, the slope is 1. Say the line goes up two and over one for each time it meets an actual point, the slope would be 2. If it is 1 up and 2 over, it would be 1/2.
If
<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9
then
<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5
Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations
-<em>a</em> + <em>b</em> + 5 + 9 = 12
3<em>a</em> - 2<em>b</em> - 5 = 3
or
-<em>a</em> + <em>b</em> = -2
3<em>a</em> - 2<em>b</em> = 8
Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :
2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8
-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8
<em>a</em> = 4
Substitute this into the first equation above to solve for <em>b</em> :
-4 + <em>b</em> = -2
<em>b</em> = 2
Answer:
Step-by-step explanation:
<h2><u>Given Expression</u> :-</h2>
<h2><u>Steps to factorise</u> :-</h2>
- Using a²-b² = (a-b)(a+b), factor the expression
- Factor out 2a+3b from the expression
