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
Answer: (x, y) transforms into (-x, y)
Step-by-step explanation:
When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.
So if we do a reflection over the y-axis, then the value of y must be fixed.
So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)
So the rule is, the y value remains equal and the x changes of sign.
Answer:
4000
Step-by-step explanation:
from 1 - 1000 = 300
1's = 100
10's = 100
100's = 100
1000's = 0
300 * 10 = 3000
then add in all the 3000's (ie 3001,3002, etc ) that adds one more thousand
3000 + 1000 = 4000
Answer:
Step-by-step explanation:
Distribute.
Add 5x and subtract 15 on both sides.
Multiply -1 on both sides.
Answer:
The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
