The coordinates of the vertices of the translated triangle are found by adding 3 to the x-coordinates and 2 to the y-coordinates of the original triangle's vertices. To draw the translated triangle, plot these new coordinates and connect them. This explains the process of translating a triangle using a translation vector in a coordinate plane.
The question you're asking is about the translation of a triangle in the coordinate plane. The translation vector is defined as (x+3, y+2). Let's suppose we have a triangle with vertices A, B, and C with coordinates (xA,yA), (xB,yB), and (xC,yC) respectively.
To find the coordinates of the vertices of the translated triangle, we simply apply the translation vector to each vertex. This means that we add 3 to the x-coordinates and 2 to the y-coordinates of each vertex. Thus the translated vertices A', B', C' are given by:
To draw the translated triangle, plot the coordinates of A', B', C' on your graph, and connect them to form the triangle. This will be your translated triangle using the given translation vector.
#SPJ12
5 different meats
3 different cheeses
3 different breads
5x3x3 = 15*3 = 45
there are 45 choices
The sandwich shop offers a total of 45 different sandwich combinations based on the given options of meats, cheeses, and breads. Each sandwich consists of one type of each category.
The question asked is related to the concept of combinations in mathematics. It gives a variety of choices for making a sandwich - 5 types of meats, 3 types of cheeses, and 3 types of breads. Assuming that each sandwich will have one meat, one cheese, and one type of bread, we can calculate the total combinations by multiplying the number of options in each category together. Combinations are used when the order of selection does not matter.
So, the total number of sandwich combinations would be 5 (meats) * 3 (cheeses) * 3 (breads) = 45 different sandwich choices.
#SPJ12
Greetings!
In this question, we need to solve the equation where "k" will be our subject variable.
We were given the equation: 10n = 5(k - 3)
In order for "k" to be the subject, we need to solve for "k" where "k" is by itself.
Solve the equation for k:
10n = 5(k - 3)
Use the distributive property to distribute the 5
10n = 5k - 15
Add 15 to both sides to get 5k by itself
10n + 15 = 5k
Divide both sides by 5 to get "k" by itself
2n + 3 = k
Therefore, when "k" is the subject the equation is rearranged to: k = 2n + 3
Answer:
k = 2n + 3
Given:
m = 2 & n = -1
so, m0 - n2
= 2*0 - (-1)*2
= 0 - (-2)
= 0 + 2
= 2
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
A variable is a symbolic name for (or reference to) information. The variable's name represents what information the variable contains. They are called variables because the represented information can change but the operations on the variable remain the same.
Learn more about Algebra & Variables here
#SPJ2
Answer:
it would cost $34.50 to purchase 7.5 lbs of walnuts.
Answer:
$34.50
Step-by-step explanation:
First find out how much 1/4 of a lb will cost.
3.45/3= 1.15
This is the cost for only 1/4 a lbs of chopped walnuts. Take this number and multiply it by 4 to find how much it would cost for 1 whole pound of walnuts.
1.15x4= 4.60
It costs $4.60 for a whole pound of walnuts. If you are trying to find how much it costs for 7.5 lbs, then multiply 4.60 by 7.5.
4.60x7.5= 34.5
For 7.5 lbs of walnuts will cost $34.50