Answer:
y-4 = (-1/3)(x+1)
Step-by-step explanation:
We need to identify the equation in point slope form.
The standard equation of point slope form is:
(y-y₁) = m (x-x₁)
where m is the slope and x₁ and y₁ are the points
We are given point(4,-1) so,
x₁=4 and y₁=-1
And a perpendicular line: y =3x+5
Which is equal to y = mx+b
where m is slope so, slope m = 3
Since the line is perpendicular, so the slope in negative inverse of actual slope that m = -1/m
i.e, m = -1/3
So, the equation in point slope form is:
y-(-1) = (-1/3)(x-4)
=> y+1 = (-1/3)(x-4)
Answer:
46 and 22
Step-by-step explanation:
let the father b (f) and d son is (s)
so
f=3s.....(1)
(f+10) +(s+10)=68 .... (2)
substitute f=3s in equation (2)
we have
(3s+10)+(s+10)=68
4s+20=68
4s=68-20
4s=48
s=12 .......(3)
substitute (3) in (1)
f=3*12
which f=36
in 10 year time
f+10 =46
s+10=22
12s - 20 < 50 - 3s - 25
12s - 20 < 25 - 3s
+3s. +3s
S cancels
15s - 20 < 25
+ 20. +20
15s < 45
/15. /15
S < or equal to 3
Answer:
infinite solutions
Step-by-step explanation:
2(4x+1) −5x +2 = 3x+4
Distribute
8x +2 -5x +2 =3x+4
Combine like terms
3x +4 = 3x+4
Subtract 3x from each side
3x-3x+4 = 3x-3x+4
4=4
This is always true, so there are infinite solutions
