Answer: y-4=-3(x+4) or y=-3x-8
Step-by-step explanation:
To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).
y-4=-3(x-(-4)) [multiply]
y-4=-3(x+4)
Another equation could be slope-intercept form. It is y=mx+b.
y-4=-3(x+4) [distribute]
y-4=-3x-12 [add both sides by 4]
y=-3x-8
Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).
Answer: 28
Step-by-step explanation:
Basically the remainder theorem links the remainder of division by a binomial with the value of a function at a point while the factor theorem links the factors of polynomial to its zeros
10.5 hours
let t be time then distance travelled by both is
Mr Burges ⇔ d = 50t ( distance = speed × time )
Mrs Burges ⇒ d = 70(t - 3)
At the point of overtaking both will have travelled the same distance
equating their distance and solving for t
70(t - 3) = 50t
70t - 210 = 50t ( subtract 50t from both sides )
20t - 210 = 0 ( add 210 to both sides )
20t = 210 ( divide both sides by 20 )
t = 10.5 hours
