Answer:
A e f
Step-by-step explanation:
Hope this was helpful!!!
Answer:
<u>Slope = 3</u>
Step-by-step explanation:
Slope is calculated as the "Rise/Run" of a straight line. The Rise is the change in the value of y, or the amount y changes per change in x. Run is the change in the x value. A line with a run of 3 and a rise of 9 is calculated as:
Rise/Run = 9/3 or 3
This means that the value of y will increase by 3 for every increase of 1 in the value of 3.
Slope in "m" in the slope-intercept form of a straight line equation: y = mx + b
The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.
Example points (y = 3x + 2)
(0,2)
(1,5)
(4,14)
Note that y changes by 12 when x changes by 4. Rise/Run = 12/4 or 3.
Let <em>a</em> be the first term in the sequence. If <em>r</em> is the ratio between consecutive terms, then the second term is <em>ar</em>, the third term is <em>ar </em>^2, the fourth is <em>ar</em> ^3, and so on, up to the <em>n</em>-th term <em>ar</em> ^(<em>n</em> - 1).
So the third, fourth, and fifth terms are such that
<em>ar</em> ^2 = 18
<em>ar</em> ^3 = 27
<em>ar</em> ^4 = 81/2
Solve for <em>a</em> and <em>r</em> :
(<em>ar</em> ^3) / (<em>ar</em> ^2) = 27/18 => <em>r</em> = 3/2
<em>ar</em> ^2 = <em>a</em> (3/2)^2 = 9/4 <em>a</em> = 18 => <em>a</em> = 8
Then the <em>n</em>-th term in the sequence is
<em>ar</em> ^(<em>n</em> - 1) = 9 (3/2)^(<em>n</em> - 1)
You can rewrite this by first rewriting 9 = 3^2, then
9 (3/2)^(<em>n</em> - 1) = 3^2 * 3^(<em>n</em> - 1) / 2^(<em>n</em> - 1) = 3^(<em>n</em> + 1)/2^(<em>n</em> - 1)
Step-by-step explanation:
the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .
hint : volume : h×l×w ( height times length times width)
so the cubiod is 12 times 29 times 12 =
you work out the answer for that .
the triangular prism you try working out the volume.
Answer:
Gotcha!
Step-by-step explanation:
15 cm is the base of the triangle {the bottom}
18 cm is the other one
23 cm is the longest side
