The number is 14
Here's the solution:
Let the number be x
According to the question,
27+7x=125
//Subtract 27 from both the sides
7x=125-27
7x=98
//divide both the sides by 7
x=98/7
x=14
For a translation 4 units down you would subtract 4 from each y value and 5 units right you would add 5 to each x value.
Your resulting points would be.
A'(-1,1), B'(-1,-2), C'(3,-2), D'(3,2)
Answer:
C and D
Step-by-step explanation:
You can tell if equations have no solution if the variables on both sides of the equation are the same.
Choice C is 10+6x=15+9x-3x. You would combine 9x and -3x, turning the equation into 10+6x=15+6x. Since there is a 6x on both sides, Choice C would have no solution.
The same for Choice D. When you simplify everything there is a 3x on both sides, so it would have no solution.
We are given y = kxz
We also know 32 = k×6×8, so k = 32/48 = 2/3.
We are then asked to solve:
Surface area = Area of rectangle + Areas of triangles.
Area of rectangle = 9cm * 15cm = 135cm2.
Areas of triangles = 6cm * 3cm = 18cm2.
Surface area = 135 + 18 = 153cm2
