Answer:
-1
Step-by-step explanation:
|x-4|=x-4 when x-4 is positive or zero.
|x-4|=-(x-4) when x-4 is negative or zero.
x-4 is positive or zero means:
x-4>=0
Add 4 on both sides gives:
x>=4
x-4 is negative or zero means:
x-4<=0
Add 4 on both sides gives:
x<=4
Now we are approaching values of 4 from the left which means these values are less than 4 which makes x-4 negative.
So we are using:
|x-4|=-(x-4) when x-4 is negative or zero.
As x approaches 4 from left we have:
|x-4|/(x-4)=-(x-4)/(x-4)=-1.
If there are eight students total, and five are boys, then the fraction would be 5/8.
5 students out of eight, are boys.
- Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant
So firstly, using our equation plug in the values into the discriminant formula and solve as such:
(-7)² - 4 × 3 × 4
49 - 48
1
So our discriminant is 1. <u>Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.</u>
Answer:
Part 1:
Yes, the side lengths form a right triangle.
Part 2:
Option d 37.1 cm
Explanation:
We need to use the pythagorean theorem.
In part 1, if the 3 side lengths are a right triangle, then, they must verify:
By the theorem. Then:
They're equal, then the lengths correspond to a right triangle.
For part 2, we need to use again the theorem. In this case:
