"For any three consecutive numbers": x,y,z:
x
y=x+1
z=x+2
"prove algebraically that the largest number and the smallest number are factors"
x*z=
"of the number that is one less than the square of the middle number"
=y²-1
x*z=y²-1
x*(x+2)=(x+1)²-1
x²+2x=x²+2x+1-1
x²+2x=x²+2x
both sides of the equation are the same, so the statement is correct
Answer:
3x-8
Step-by-step explanation:
Use synthetic division:
5 | 3 -23 40
____<u> 15 -40</u>_
3 -8 | 0
Hence, another factor of the polynomial is 3x-8
Step-by-step explanation:
2(x＋3)
2x＋6
devide each in 2
2x/2 and 6/2
2 and 2 go out
X=3
Answer:
1. 9 cm
2. 50%
3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).
1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.
2. 2 is 50% of 4 and 3 is 50% of 6.
3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).
Step-by-step explanation:
Answer:
1.429 lbs per sack
Step-by-step explanation:
Given that 10 lbs of flour needs to be divided evenly into 7 sacks
amount of flour in each sack,
= 10 lbs ÷ 7 sacks
= 10/7 lbs per sack
= 1.429 lbs per sack
