Answer:
f(x) = 4x + 4
Step-by-step explanation:
When a line is parallel to another line, the slopes are always equal. Therefore, the coefficient for x has to be four. If you multiply the y-coordinate by 4, you get 4. To get 8, you have to add four, so the equation is simply f(x) = 4x+4.
Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is
, you already have the
and another side which can be
or
.
Because you have the hypotenuse and a side , your equation looks like this now:
and when you solve for be you just subtract
to get 24.
Answer:
s = - 1 ± 
Step-by-step explanation:
Given
s² + 2s - 6 = 0 ( add 6 to both sides )
s² + 2s = 6
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(1)s + 1 = 6 + 1
(s + 1)² = 7 ( take the square root of both sides )
s + 1 = ±
( subtract 1 from both sides )
s = - 1 ± 
Thus
s = - 1 -
, s = - 1 + 
Step-by-step explanation:
Starting from y-intercept of [0, 2], you can either move two blocks <em>north</em><em> </em>over 3 blocks <em>west</em><em> </em>or two blocks <em>south</em><em> </em>over three blocks <em>east</em><em>.</em><em> </em>Either way, you will still get this line because this is a negative <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>].
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
**I have a video that explains something like this. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". I encourage you to watch the video and gain alot more knowledge from it, so you can better understand the concepts.
Step-by-step explanation:
if 900 is increased by 20% then
120/100×900=1080
Decreasing it by 20% then
80/100×1080=864