Answer:
2x+46
Step-by-step explanation:
-2(x-5)+4(9+x), Multiply
-2x+10+36+4x, Combine like terms
Simplified= 2x+46
Answer:
rebecca increased the length by 3 and the width by 2
Step-by-step explanation:
First we need to find the length and width by factorizing the expressio ofr the area;
A = 2w^2+7w+6
A = 2w^2+4w+3w+6
A = 2w(w+2)+3(w+2)
A = (2w+3)(w+2)
Since l = 2w
Length = 2w+3
width = w+2
This shows that rebecca increased the length by 3 and the width by 2
G(x) is a translation of f(x) 5 units up
Giving us g(x)=f(x)+5
So k=5
Answer:
r = 0.0424 cm (3sf)
Step-by-step explanation:
it makes 150 rev/sec
1 revolution = 1 circumference = 2pi*r
so every second the spool goes through 2*pi*r*150 of distance
we know that the rate of pulling is 40cm/sec
so 2pi*r*150 = 40
r = 40/(2pi*150), which is 0.04244131816 cm.
check: Circumference is 2pi*r = 0.2666
now multiply by 150rev/sec = 40 cm/sec
