The vertices of the image reflected across the x-axis are P'(-8,-1), Q'(-6,-8), and R'(4,3).
A point on a polygon where the sides or edges of the object meet or where two rays or line segments meet are called vertices.
The given vertices are P(-8, 1), Q(-6, 8), and R(4, -3).
To reflect the points across the x-axis, the x variable would stay the same while the y variable becomes the opposite.
So, the given vertices changed like:
P(-8,1) will become P'(-8,-1)
Q(-6,8)will become Q'(-6,-8)
R(4,-3) will become R'(4,3)
Hence, we can say that P'(-8,-1), Q'(-6,-8), and R'(4,3) are the vertices of the image reflected across the x-axis.
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Answer:
P'(-8,-1)
?'(-6,-8)
R'(4,3)
Step-by-step explanation:
If you were to reflect the points across the x-axis, then the rule here would be that the x variable would stay the same while the y variable becomes the opposite.
So,
P(-8,1) = P'(-8,-1)
?(-6,8) = ?'(-6,-8)
R(4,-3) = R'(4,3)
Answer:
368 sq. units.
Step-by-step explanation:
We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.
Now, the four isosceles right triangles have one leg equal to 4 units.
Therefore, the area of four triangles = sq. units.
Now, we have the area of the given square is (20 × 20) = 400 sq. units.
Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)
Answer:
Step-by-step explanation:
On seeing the graph we find that x intercepts are 1 and 5.
Also y intercept is 5
Vertex is at (3,-4) and also parabola is open up.
The possible equations can be of the form
y =a(x-1)(x-5)
y =a(x^2-6x+5)
When x=0, y =6
Hence 6 =5a
a =6/5
Solution is
Answer: Its 10 I just took the test :)
Step-by-step explanation:
Answer:
length = 7.5 cm
Step-by-step explanation:
Volume of rectangular box = 60 cubic cm
length * width * height = 60
length * 4 * 2 = 60
length * 8 = 60
length = 60/8 = 7.5 cm
15 ft
23 ft
10 ft