Step-by-step explanation:
(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0
2x²+6x-20
2(x²+3x-10)
the factors are 2 and (x²+3x-10)
(2) Factor the polynomial completely. (4 points: 2 point for each factor)
2(x²+3x-10)
2(x²-2x+5x-10)
2(x(x-2) + 5(x-2)) group like terms
2(x+5)(x-2)
(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)
constant = 2 cannot be zero
the other factors are (x+5) and (x-2)
(x+5)=0 => x= -5
or
(x-2)=0 => x=2
(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)
thank you so much, sorry if it's a little confusing!!
(it is indeed confusing, because physical dimensions cannot be negative)
The dimensions of the project (assumed a rectangle) are +2 and -5
Step-by-step explanation:
Chapter 3 of Wheels of Change .
But the bicycle craze had a more lasting impact on women’s clothing than just the use of bloomers. Thanks in large part to cycling, the innovation of rational dress reformers were starting to take effect by the end of the 1890s. Corsets were on their way out, dresses were getting shorter, and women no longer wore the heavy, bulky undergarments that gave them round, unnatural shapes. These changes went a long way toward unburdening women and setting the stage for them to be healthier and more active in the coming century.
Based on the excerpt, women in the 1890s became more independent and their lives improved as a result of
a rise in the popularity of bicycles.
a rise in the popularity of corsets.
cycling becoming less socially acceptable.
clothing becoming more restrictive.
Answer:
7.8
Step-by-step explanation:
36v - 12 = 12 .....add 12 to both sides
36v - 12 + 12 = 12 + 12...simplify
36v = 24...divide both sides by 36
(36/36)v = 24/36
v = 2/3 <===
Answer:
D
Step-by-step explanation:
We need the numbers of each before we can calculate the probability
Number of even numbers are 50
Number of odd numbers are 50
Number of perfect squares;
1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100
10 perfect squares
Probability of selecting even = probability of selecting odd = 50/100 = 1/2
Probability of selecting a perfect square = 10/100 = 1/10
Thus, the probability of having the draws in the other stated in the question will be;
1/2 * 1/2 * 1/10 = 1/40
