Answer:
Option B
Step-by-step explanation:
Given that the point A(4,6) is dilated with a scale factor of 2
about the point O(2,1) as centre of dilation
This implies that the new point A' will lie on the lineOA with distance equal to double of OA.
Or A will be the mid point of OA' and AA' will have same slope as OA
Considering the above two conditions we find that
Option A cannot be right.
Option B: Midpoint of OA' = (4,6) matches with given
Slope of AA'=
= slope of OA
Thus option B satisfies both
So answer is B
Option C: 1 is the simplification of the expression
Explanation:
The given expression is
We need to simplify the given expression.
<u>Simplification:</u>
To simplify the given expression, let us apply the exponent rule, where
Thus, the the exponent rule means that any value (except zero) to the power of zero is equal to one.
Thus, the expression becomes,
Therefore, the simplified expression is 1
Hence, Option C is the correct answer.
Answer:
x = 8.8
Step-by-step explanation:
First, you have to solve the side length for the smaller triangle.
Now for the bigger square.
Rounded to the nearest tenth = 8.8
https://g.co/kgs/dg245M
I use this for my pythagorean theorem questions
Answer:
Your sum = - 1
S = ( (-2)^n - 1), If you let n = z, then S = (-2)^z - 1
Step-by-step explanation:
I can use a formula to find the sum of the first n terms.
we have -3, 6, -12, 24, ... etc.
common ratio = r = -2
first term = -3
a_1 = -3
Then: a_n = a_1 * r ^(n -1)
a_n = (-3) * (-2)^(n - 1) is the general formula for the nth term
Sum of first n terms = S = a_1 * (r^n - 1) / (r - 1)
so...
S = (-3) * ((-2)^n - 1 )/ (-2 - 1)
which simplifies to
S = (-3) *((-2)^n - 1) / (-3)
S = ( (-2)^n - 1)
If you let n = z, then S = (-2)^z - 1