Y=-4X+1 the equation can be anything without a specific x-in’t
Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
Answer:
12
Step-by-step explanation:
1/5 of 30 is 30/5 = 6
1/2 of (30 -6) = 12 . . . half of those remaining after mint icing
The other half of those remaining is also 12 cupcakes. So, 12 cupcakes will get vanilla icing.
Answer:
(a) 
(b) 
(c) 
(d) 
(e) 
Step-by-step explanation:
Solving (a):
Given

Required
Express as a product
Express 10x as 5 * 2x

Apply distributive property


So:

Solving (b):
Given

Required
Express as a product
Express 2x and 3x as 2 * x and 3 * x, respectively

Apply distributive property



So:

Solving (c):
Given

Required
Express as a sum/difference
Apply distributive property



Solving (d):
Given

Required
Express as a sum/difference
Apply distributive property


Solving (e):
Given

Required
Express as a product
Factorize

Apply distributive property

So:

Answer:
A.
Gradient: 4
x-intercept: (1,0)
y-intercept: (0,-4)
B.
Gradient: - 3
x-intercept: (-1,0)
y-intercept: (0,-3)
Line y=5x=40
x-intercept: 8
y-intercept: 40
Step-by-step explanation:
y -5x = 40
x-intercept: 0-5x=40
-5x = 40. x = 40/-5
x = -8
y-intercept: y -0 = 40
y = 40