Answer:
5
Step-by-step explanation:
Replace 20 instead of m
20/4=5
Answer:
= 403
Step-by-step explanation:
the sum to n terms of an arithmetic series is
=
(a + l) ← a is the first term and l the last term
here a = - 5 and l = 67 , then
=
(- 5 + 67) = 6.5 × 62 = 403
Answer:
Second option: On a coordinate plane, rectangle A'B'C'D' prime has points
(See the graph attached)
Step-by-step explanation:
For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.
In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.
Answer:
Option (b) is correct.

Step-by-step explanation:
Given expression "four times the square of a number is thirty-six"
We have to write it mathematically and choose the correct options out of given options.
Consider the given expression "four times the square of a number is thirty-six"
Then
let the number be x ,
Then four times the square of a number written mathematically as 
And given "four times the square of a number is thirty-six" written mathematically as 
Therefore, "four times the square of a number is thirty-six" written mathematically as 
Option (b) is correct.