Answer:
3x + 10cm
Step-by-step explanation:
This is calculated as:
Length of Tom's pencil - Length is Ellen's pencil
Length of Tom's pencil: 5x+25cm long.
Length of Ellen's pencil : 2x+15cm long.
(5x + 25)cm - (2x + 15)cm
5x + 25 - 2x - 15
5x - 2x + 25 - 15
3x + 10 cm
Therefore, Tom's pencil is 3x + 10cm longer is than Ellen's.
Step-by-step explanation:
I'm struggling with that to sowy T T
4b-3 .. you use distributive property and multiply 3*b-1 then you have 7b-3b-3 then you combine like terms and subtract 3b from 7b and get 4b-3
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
Answer:
C.y = 3x + 4
Step-by-step explanation:
We have two points, so we can find the slope
m = (y2-y1)/ (x2-x1)
= (7--2)/ (1--2)
= (7+2)/(1+2)
= 9/3
=3
The slope is 3
We can find the point slope form of the line
y-y1 = m(x-x1)
y-7 = 3(x-1)
Distribute
y-7 =3x-3
Add 7 to each side
y-7+7 = 3x-3+7
y = 3x+4
This is in slope intercept form (y=mx+b)
