Please help me with this problem I am stuck so bad please help
1 answer:
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The transformation was a reflection over the line x = -0.5
And the image and preimage can be seen in the graph below.
<h3>How to identify the preimage and image?</h3>
First, the original vertices are:
L(3, 3)
M(2, 4)
N(-1, 0)
3 vertices means that our figure is a triangle.
Now, the transformed vertices are:
L'(2, -5)
M'(3, -4)
N'(-1, 1)
And the graph of both sets can be seen below.
Now we can try to identify the transformation.
Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5
This is a clear implication that the transformation was a reflection over the line x = -0.5
If you want to learn more about transformations:
#SPJ1
Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
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Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = -
2x - 9 = 0 ⇒ 2x = 9 ⇒ x =