Answer:
Slope (m) =
ΔY
ΔX
=
1
2
= 0.5
θ =
arctan( ΔY )
ΔX
= 26.565051177078°
ΔX = 5 – 1 = 4
ΔY = 8 – 6 = 2
Distance (d) = √ΔX2 + ΔY2 = √20 = 4.4721359549996
Equation of the line:
y = 0.5x + 5.5
or
y =
1 x
2
+ 11
2
When x=0, y = 5.5
When y=0, x = -11
the given expression is,
4 = 5x + 6y
6y = 4 - 5x
y = 4/6 - 5/6x
y = 2/3 - 5/6x
so, the answer is y = 2/3 - 5/6x
I hope this helps you
Janice 2 3/4= 2.4+3/4=11/4
40.11/4-40=110-40=70kg janice
Terry 40 kg
40+70=110
Answer:
Slope-Intercept: y = -x + 5
Point-Slope: y - 5 = -1x
Step-by-step explanation:
Slope intercept is known as y = mx + b, where m is the slope, and b is the y-intercept. To find slope, you can count or use the slope formula, and you should get -1. The y intercept is where x = 0, and in this case, b = 5.
Point slope can be altered to make slope intercept so this makes this part easier. The general formula is y - y1 = m(x - x1), where y1 and x1 are coordinate points and m is the slope. We already know slope from earlier, -1, so now we just need a coordinate point. You could use (0, 5). Now plug in the points; 0 for x1 and 5 for y1. Simplify and you're done.
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways
