Answer:
-4
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-4
1
= -4
θ =
arctan( ΔY ) + 360°
ΔX
= 284.03624346793°
ΔX = 5 – 2 = 3
ΔY = -8 – 4 = -12
Distance (d) = √ΔX2 + ΔY2 = √153 = 12.369316876853
Answer:
The values of h = -2 and 4
The value of k = -3
Step-by-step explanation:
Putting x=5 in the given equation,
x²+(k-1)x-5=0
or, 5²+(k-1)*5-5=0
or, 25+5k-5-5=0
or, 15+5k=0
or, 5k=-15
or, k=-3
putting the value of k and the other root (h+1) in the given equation,
(h+1)²+(-3-1)(h+1)-5=0
if you solve this, you'll get h = -2 and h = 4.
Answered by GAUTHMATH
1st find the slope m.
m= (rise)/(run). Look up the graph and notice that the rise is 1 for a run =5
Then the slope will be 1/5
2 lines are parallel if they have the same slope so it's either
y= 1/5 x + 4 or 1/5 x + 12/5
our function is y = mx + b, but we know that m = 1/5
so the equation is y = 1/5 x + b
and we know that the function passes through the point (-2,2)
To calculate b, plug in y= 1/5 x + b , x & y by their respective values:
2 = (1/5) (- 2) + b
2 = - 2/5 + b and b = 12/5, then the equation is Y= 1/5 X + 12/5