The translation mode are-
- On a chessboard, moving a knight from (3, 2) to (5, 1) results in a translation of 2 squares up and 1 square left.
- The translation produced is 2 squares right, 1 square up, if a player advances his knight from (5, 1) to (6, 3).
<h3>What is translation?</h3>
In mathematics, a translation is the up, down, left, or right movement of a shape.
Some key features regarding translation are-
- Because the translated shapes appear to be identical in size as the original ones, they are consistent with one another.
- Just one or maybe more directions have been altered.
- There has been no change in its form because it is simply being moved from one location to another.
- The object may initially travel left, then turn right, and so on.
- The direction or the course of this shift in the object's position can also alter.
- Each point on the shape will move by the same number of units during translation.
- For instance, all of the points will move two units to that same right if one point moves two units to that same right.
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Answer:
Total area= 207 ft^2
Step-by-step explanation:
You can divide the figure to make 2 big rectangles.
The first has a base of 15 ft and a height of 15 ft
A1 = b * h
A1= 15 ft * 9 ft A1= 135 ft^2
The second has a base of 12 ft and a height of 6 ft
A2= b*h
A2= 12 ft * 6 ft
A2= 72 ft^2
Total area= A1+A2= 135 ft^2 + 72 ft^2
Total area= 207 ft^2
Answer:
y=-1/5 x +7/5
Step-by-step explanation:
First lets find the slope of the line containing the points (2,3) and (1,-2) by using the equation for slopes m1 = (y2 - y1) / (x2 - x1),
Which results in m1=5
If two lines are perpendicular, then their slopes must satisfy the following condition
m1*m2=-1
So, our new line must have the following slope (m2): m2*m1=1, if m1=5, then m2=-1/5
The line passes through P(-3,2)
Remember that the equation for a line is given by the following:
y=mx+b
if we eval P inside that equation, with m=-1/5
we have b.
2=-1/5*-3 +b
b=2-3/5
Answer:
756
Step-by-step explanation:
This is a combination problem. Combination has to do with selection.
If we are to select r objects out of a oiil of n objects, this can be done in nCr number of ways as shown;
nCr = n!/(n-r)!r!
From the question, there are 4 meats and 9 vegetables to choose from. If the customer is to select 2 different meats and 4 different vegetables from the available ones, this can be done as shown
4C2 (selection of 2 different meats from 4meats) and 9C4(selection of 4 different vegetables from 9 total vegetables)
The total number of ways this can be done is 4C2 × 9C4
= 4!/(4-2)!2! × 9!/(9-4)!4!
= 4!/2!2! × 9!/5!4!
= 4×3×2!/2!×2 × 9×8×7×6×5!/5!×4×3×2
= 6 × 9×7×2
= 756ways
This means 756 different supreme choice pizzas can be made.
If two or more points have the same domain or x value, then it is not a function because points cannot have identical x values, only y values.
With this in mind, C is not a function because there are two 4s in the domain.
