Where do animals live
2 answers:
You might be interested in
The solution to the equations are:
- 9x² - 36x + 36 = 0 has two equal real solutions
- x² - x + 4 = 0 has no real solutions
- The factored expression of 4x² + 23 – 35 is 4(x² -3)
The equation is given as:
The above equation is a quadratic equation which can be represented as:
The discriminant (d) is calculated as:
So, we have:
A discriminant of 0 means that the equation has two equal real solutions
Hence, 9x² - 36x + 36 = 0 has two equal real solutions
<h3>Part B: Describe the solution</h3>The equation is given as:
The above equation can be represented as:
The discriminant (d) is calculated as:
So, we have:
A discriminant of -15 means that the equation has no real solutions
Hence, x² - x + 4 = 0 has no real solutions
<h3>Part C: The solution to the expression</h3>We have:
Evaluate the difference
Factor out 4
Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)
Read more about quadratic expressions at:
#SPJ1
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:
<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9