The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).
Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,
Here we have to translate the point Q(2, 3).
Point (x, y) is translated as (x - 3, y + 4).
That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.
Q(2, 3) after the translation becomes,
Q'(2 - 3, 3 + 4) = Q'(-1, 7)
Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).
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The image of point Q under the translation (x, y) -> (x - 3, y + 4) is Q'(-8, 8)
Given data:
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
The point is represented as Q ( -5 , 4 ).
To find the image of point Q(-5, 4) under the translation (x, y) + (x - 3, y + 4), we simply apply the translation vector (x - 3, y + 4) to the coordinates of point Q.
New x-coordinate = x - 3 = -5 - 3 = -8
New y-coordinate = y + 4 = 4 + 4 = 8
Hence, the image of point Q(-5, 4) under the given translation is Q'(-8, 8).
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The complete question is attached below:
Plot the image of point Q ( -5 , 4 ) under the translation (x, y) + (x - 3, y + 4).
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:
Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).
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.
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Answer:
4x = 25.00
X= $6.25
Step-by-step explanation:
If you divide 25.00 by 4 the answer should be 6.25
Answer:
1877
Step-by-step explanation:
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