Slope itnercept is y=mx+b
ok, let's start with point slope form
y-y1=m(x-x1)
a point on the line is (x1,y1) and the slope is m
so given point (-3,4) and slope -3/4
y-4=-3/4(x-(-3))
y-4=-3/4(x+3)
distribute to solve for y
y-4=(-3/4)x-9/4
add 4 to both sides
y=(-3/4)x-9/4+4
y=(-3/4)x-9/4+16/4
y=(-3/4)x+7/4
Answer:
heres an example of substitution in a world problem. hope this helps on some other problens
6,051m = 6,000m + 51m
1km=1,000 metres
--------------------------------
Therefore:
6,051 metres = 6,000/1,000km + 51/1,000km
=6,051/1,000km
=6.051km
Answer:
The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70
Step-by-step explanation:
The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.
The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.
The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70
Short answer: 2 * sqrt(13)
Remark
There are a number of ways to look at this. I'll pick the easiest.
Step one
Factor 52 until there are no more prime factors to be used.
52 = 2 * 26
52 = 2 * 2 * 13. That's as far as you can go.
Rule
For every 2 equal prime factors, 1 of them can be taken out side of the root sign. The other one disappears.
sqrt(52) = sqrt(2*2* 13) = 2*sqrt(13)
Answer 2sqrt(13) <<<< answer
