Answer:
Step 1: Identify the coordinates of each of the vertices of the triangle.
Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.
Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.
Step-by-step explanation:
Triangle: A triangle is a three-sided geometric figure made by connecting each pair of points in a set of three with straight lines. The points that define a triangle are known as vertices
Answer:
3.1 * 10^10
Step-by-step explanation:
Alice has read 150 pages, you would multiple 200 by .75 (75%). If Nina had read 50% of her book and she read 150, you multiple by 2, and get 300. So Nina has 300 pages in her book.
Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
