For this case we have the following expression:
5x3 + 40y6
Common factor 5:
5 (x3 + 8y6)
Factoring the expression within the parenthesis we have:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer:
The factored expression is given by:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer:
25
Step-by-step explanation:
25
(5)² = 25 OR √25 = 5
Answer:
(2, -10)
Step-by-step explanation:
so first i find the axis of symmetry using the equation x= -b/2a
in this problem
a=3
b= -12
c= 2
- (-12)/ 2(3) = 2
2 will be the x point for your vertex
you then plug in your x point into the original equation and solve for y
y = 3(2)^2 - 12(2) +2
y = -10
Vertex is then (2, -10)
Answer: X'(-3, -2), Y'(-5, 1), and Z'(2, -3)
Step-by-step explanation:
Upon reflection across the x-axis, the x-coordinates remain the same while the signs of the y-coordinates flip. So, the coordinates will be X(3, -2), Y(5, 1), and Z(-2, -3).
Upon reflection across the y-axis, the signs of the x-coordinates will flip while the signs of the y-coordinates remain the same. So, the coordinates will be X′(-3, -2), Y′(-5, 1), and Z′(2, -3).
Answer:height=20cm
Step-by-step explanation:
Length=100cm
Breadth=40cm
Volume=80 liters which is equal to 80000cm^3
volume=length x breadth x height
80000=100 x 40 x height
80000=4000 x height
Divide both sides by 4000
80000/4000=(4000xheight)/4000
20=height
Height=20cm
