Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(11,4)(10,5)
d = sqrt (10 - 11)^2 + (5 - 4)^2
d = sqrt (-1^2) + (1^2)
d = sqrt (1 + 1)
d = sqrt 2
d = 1.41 <===
Answer: Option D.
Step-by-step explanation:
You can calculate the surface area of this right prism by adding the area of its faces.
You can observe that the faces of the right prism are: Three different rectangles and two equal triangles.
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
The formula for calculate the area of a triangle is:
Where "b" is the base and "h" is the height.
You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
Then, this is:
Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:
Answer:
the first one is -9/40. the second one is 109/20. the third one is -8/35.
Step-by-step explanation:
here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.
If you mean distance, then we can use the distance formula to find out.
(x - x)² + (y - y)² = d² Distance formula
(-2 + 2)² + (7 + 6)² = d² Substitute the points; remember that when you subtract a negative, you add, and also remember to always subtract in the same direction (with the points (1,2) and (3,4), if you do 1 - 3, then do 2 - 4 and not 4 - 2)
(0)² + (13)² = d² Add
0 + 169 = d² Square
169 = d² Add
13 = d Take the square root of both sides to cancel out the exponent
The distance between (-2,7) and (-2,-6) is 13 units.
Hope this helps!
Based on the fact that the Polygon ABCD was translated, then the polygon that is a translation of it will be Polygon 3.
<h3>What polygon is the translation of Polygon ABCD?</h3>
When a shape is translated, it is taken as it is from one area of the coordinate plane, to another area of the plane.
This means that it doesn't change in height, or orientation.
The only polygon that still looks like Polygon ABCD is Polygon 3 which means that it is the translated version.
Find out more on transformations at brainly.com/question/4289712
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