Amelia needs 
stick of butter to make cornbread and apple muffins.
Step-by-step explanation:
Given,
Stick of butter needed to make cornbread = 
Stick of butter needed to make apple muffins = 
Total stick of butter needed = Cornbread + Muffins
Total stick of butter needed = 
Total stick of butter needed = 
Total stick of butter needed =
Amelia needs stick of butter to make cornbread and apple muffins.
Keywords: fraction, addition
Learn more about addition at:
#LearnwithBrainly
Product of 6 and a number means 6 times something (let's call it x)
6 times x or 6x
product is multipled by 9
(6x) times 9 or 9(6x)
using associative property or commutative I forgot
9(6x)=(9)(6)(x)=(54)(x)=54x
So leangh of ladder=2x+1
bottom edgre=x-1
wall edge=2x
so therefor, since this is a right triangle, use pythagorean theorem
a^2+b^2=c^2
c=hypotonues=longest side
b and a=sides touching the right angle
so x-1 and 2x are a and b
2x+1=c
subsitute
(x-1)^2+(2x)^2=(2x+1)^2
x^2-2x+1+4x^2=4x^2+4x+1
add like terms
5x^2-2x+1=4x^2+4x+1
subtract 1 from both sdies
5x^2-2x=4x^2+4x
subtract 4x from both sdies
5x^2-6x=4x^2
subtract 4x^2 from both sides
x^2-6x =0
factor out the x using distributive property which is
ab+ac=a(b+c)
x^2-6x=x(x-6)
(x)(x-6)=0
if xy=0 then assume x and/or y=0
x=0
we remember that one of the side legnths is 2x and if x=0 then the side legnth=0 which is not possible, so we discard
x-6=0
add 6 to both sides
x=6
subsitute and solve
legnth of ladder=2x+1
x=6 subsitute
2(6)+1=12+1=13
legnth of ladder =13 feet
height=2x
2(6)=12
height=12 feet
base=x-1
6-1=5
legnth of ladder=13 feet
height=12 feet
base=5 feet
Answer:
y = -
x + 1
Step-by-step explanation:
The equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope using the points (3, 0) and (0, 1).
Slope = 
= 
Thus, the slope of the line is -.
Based on the graph, the y-intercept is 1.
Thus, the equation of the line is: y = -x + 1.
