The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.
From the graph:
The two points are (-4, -2) and (4, 5)
The line equation passing through two points:
[y - 5] = (5+2)/(4+4)[x - 4]
y - 5 = 7/8[x - 4]
8y - 40 = 7x - 28
8y = 7x + 12
Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
Learn more about the geometric transformation here:
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Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - 
= - 
= - 5
product of roots = 
= 
= - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
<u><em>v=-6 is the right answer. </em></u> First you had to subtract by 7 from both sides of equation, and it gave us, 
. And then simplify, and it gave us, 
. You can also add by 8v from both sides of equation, and it gave us, 
. Next simplify, and it gave us, 
. Then you divide by 2 from both sides of equation, and it gave us, 
. And finally simplify, and it gave us the answer is <u><em>v=-6 is the right answer.</em></u> Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie
This is x^3+x^2+1=-x in math terms, where x is the number. So x^3+x^2+x+1=0. We can write this: x^2(x+1)+(x+1)=(x^2+1)(x+1)=0. The only real solution is x+1=0, so x=-1.
Hopefully that makes sense
