Step-by-step explanation:
s = side of square
l = length of rectangle = s + 3 cm
w = width of rectangle = s - 2 cm
s² + 30 = (s + 3)(s - 2) = s² + - 2s + 3s - 6 = s² + s - 6
30 = s - 6
s = 36 cm
Answer:
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Step-by-step explanation:
Qaudratics are in the form
Where a, b, c are constants
Now, let's arrange this equation in this form:
Where
a = 1
b = 4
c = -32
We need to know the discriminant to know nature of roots. The discriminant is:
If
- D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
- D > 0, we have 2 distinct roots/solutions and both cut the x-axis
- D < 0, we have imaginary roots and it never cuts the x-axis
Let's find value of Discriminant:
Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.
We get the roots/solutions by factoring:
Thus,
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
This all depends on the content you are studying, and what learning style works for you. One thing that works for most people is repetition. Although it sucks, it works because that’s how our brains are wired. Tell yourself, “I will not stop studying until I understand this concept or calculation,” for example. Then take a break once you are comfortable with it. Repeat again as needed. Start studying early and only study what you don't know. Try to be as consistent as possible. Good luck!
Answer:
<h3>12:1 or 12/1</h3>
Step-by-step explanation:
can also be written as 48:4
Cross cancel common factor : 4