I’m pretty sure the equation would be
2x + 13 < 3x - 2
Answer:
1. the translation from the original to the translated figure was 2 units up and 1 unit to the left
2. the points of the translated figure if it were translated 2 units down and 3 units to the right would be: A' (4,0), B' (6,-6), C' (5,3), D' (-1,0)
Step-by-step explanation:
Answer:
When we have a quadratic equation:
a*x^2 + b*x + c = 0
There is something called the determinant, and this is:
D = b^2 - 4*a*c
If D < 0, then the we will have complex solutions.
In our case, we have
5*x^2 - 10*x + c = 0
Then the determinant is:
D = (-10)^2 - 4*5*c = 100 - 4*5*c
And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:
D = 0 = 100 - 4*5*c
4*5*c = 100
20*c = 100
c = 100/20 = 5
As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.
This means that c must be larger than 5 if we want to have complex solutions,
c > 5.
I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:
Answer:
6 feet.
Step-by-step explanation:
Dimensions of the Pool =80 feet long by 20 feet wide
Area of the walkway =1344 square feet.
If the width of the walkway=w
- Length of the Larger Rectangle =80+2w
- Width of the Larger Rectangle =20+2w
Area of the Walkway =Area of the Larger Rectangle - Area of the Pool
