The ratio of green pepper plants to red pepper plants in Joe's garden is 2:7. If Joe has 20 more red pepper plants than green pe
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Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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Answer:
Step-by-step explanation:
Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:
For a:
For b:
For c calculate the square of a sum:
(add like terms) c:
For d:
Answer:
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
--- Point on A
--- Corresponding point on B
When A is reflected across the x-axis, the rule is:
So, we have:
Next, is to calculate the translation from to
This is calculated using:
and
So, we have:
---- i.e. Shift by 6 units to the left
--- i.e. Shift by 1 unit down
