Answer: The correct option is (A) (2, -2).
Step-by-step explanation: Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.
We are to find the location of the image of point K after the rotation.
We know that
a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.
From the figure, we see that the co-ordinates of point K are (2, -2).
Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,
the co-ordinates of the image of point K will also be (2, -2).
Thus, the location of the image of point K is (2, -2).
Option (A) is CORRECT.
Answer:
The slope is 4 and y-intercept is actually 3... (I hope)
Remember rise over run, here you can see that it goes up 4 and over 1.
I am so sorry, I'm not good at explaining
Answer:
89⁷/₈ in
Step-by-step explanation:
The perimeter of a shape can be found by adding up the side lengths.
So, we have to find 20⁹/₁₆ + 23³/₈ + 21⁵/₁₆ + 24⁵/₈
Common denominator (16): 20⁹/₁₆ + 23⁶/₁₆ + 21⁵/₁₆ + 24¹⁰/₁₆
Add fractions: ⁹/₁₆ + ⁶/₁₆ + ⁵/₁₆ + ¹⁰/₁₆ = ³⁰/₁₆
Simplify: ³⁰/₁₆ = ¹⁵/₈ = 1⁷/₈
Add whole numbers: 1⁷/₈ + 20 + 23 + 21 + 24 = 89⁷/₈ in
See the attached picture:
6% = 1200
9% = 2400
12% = 3800
Step-by-step explanation:
this is totally simple.
the formula for the area of a circle (as you can find with any search on the internet in seconds) :
A = pi×r²
r is the radius.
and once you understand even the most basics of a circle, you know that the radius is half of the diameter.
so, in our case, r = 6/2 = 3 m
the area of the circle is therefore
pi×r² = pi×3² = pi×9 m²
