If you would like to know what is 1200 decreased by 2%, you can calculate this using the following steps:
2% of 1200 = 2% * 1200 = 2/100 * 1200 = 24
1200 - 24 = 1176
The correct result would be 1176.
Answer:
9 inches
Step-by-step explanation:
Area of rectangle= length ×width
Let the length of the rectangle be x inches.
Width of rectangle= (x +2) inches
<em>since</em><em> </em><em>the</em><em> </em><em>width</em><em> </em><em>is</em><em> </em><em>2</em><em> </em><em>more</em><em> </em><em>than</em><em> </em><em>the</em><em> </em><em>length</em><em>.</em>
63= x(x+2)
63= x(x) +2x
<em>Bringing</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>,</em>
x² +2x -63= 0
(x +9)(x-7) = 0 (<em>factorise</em><em>)</em>
x+9= 0 or x-7= 0
x= -9 or x= 7
(reject)
width of rectangle
= 7+2
= 9 inches
*We reject x= -9 since the length of the rectangle cannot be a negative number.
<u>Answer:</u>
x = 2.68, x = -0.186
<u>Step-by-step explanation:</u>
We are given the following equation that we are to solve:

Rearranging this quadratic equation to get:

Solving it by using the quadratic formula as we cannot find any factors for it.



, 
x = 2.68, x = -0.186
Answer:
AB = 7
Step-by-step explanation:
The y-coordinate of point A and B is the same.
Therefore, both points lie on the same horizontal line (y = 2).
So determine the distance between them, subtract the x-coordinate of B from the x-coordinate of A:
AB = 4 - -3 = 4 + 3 = 7
However, to calculate the distance between 2 points, regardless if the points are on a horizontal (or vertical) line, you can always use the distance between 2 points formula that is derived from Pythagoras' Theorem, as follows:
let
= point A (4, 2)
let
= point B (-3, 2)
using the distance between two points equation:





*Edited to add a plot diagram*
Answer:

Step-by-step explanation:
Hi there!
Slope intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope (m)</u>
where the two given points are
and 
Plug in the given points (−3, 5) and (2, -10)

Therefore, the slope is -3. Plug -3 into
as m:

<u>2) Determine the y-intercept (b)</u>

Plug one of the given points, (−3, 5) or (2, -10) into the equation and isolate b

Subtract 9 from both sides

Therefore, the y-intercept is -4. Plug -4 into
as b:

I hope this helps!