Answer:
(x, y) → (x - 3, y + 5 )
Step-by-step explanation:
A shift of 3 units to the left means subtract 3 from the original x- coordinate.
A shift of 5 units up means add 5 to the original y- coordinate.
Thus the rule representing the translation is
(x, y ) → (x - 3, y + 5 )
Answer:
D
Step-by-step explanation:
i added it
Answer:
c
Step-by-step explanation:
1/2x2/5=2/10
multiply both denominators by each other, then with numerator.
Given:
Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).
Perimeter of this triangle is to be no more than 77 feet.
To find:
The inequality and solution of the inequality.
Solution:
Perimeter of a triangle is the sum of all side.
Perimeter of given triangle 
Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.





Divide both sides by 6.


Therefore, the required inequality is
and the solution is
.
Answer:
The lateral area rectangular prism is
.
The area of the two bases of rectangular prism together is
.
The total surface area rectangular prism is
.
Step-by-step explanation:
Height of the rectangular prism = h = 4 units
Length of the base of the rectangular prism = l = 6 units
Width of the base of rectangular prism = b = 5 units
Rectangular prism = Cuboid
Lateral surface area of cuboid = L.S.A = 2 × h × (l+b)
Lateral surface area of rectangular prism :

Area of the base = l × b
Area of the base of the rectangular prism = 
Area of the two bases = 
Total surface area of cuboid = T.S.A = 2 ×(lb+bh+hl)
Lateral surface area of rectangular prism :

