Hey there! I'm happy to help!
First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).
Let's convert this below
A: (1,1)⇒(-1,-1)
B: (5,4)⇒(-5,-4)
C: (7,1)⇒(-7,-1)
D: (3,-2)⇒(-3,2)
Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.
A: (-1,-1)⇒(4,-2)
B: (-5,-4)⇒(0,-5)
C: (-7,-1)⇒(-2,-2)
D: (-3,2)⇒(2,1)
Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)
Now you know how to find the coordinates of translated figures! Have a wonderful day! :D
The answer is C
So how?
I multiplied 48*.19= 9.12 then subtracted that from 48 and got 38.88 which rounds to 39
C is the answer
I hope this helps! :D
Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.
- Initially, the dog is 5 feet underground.
- Each minute, the dog goes 2 more feet underground.
Hence, the underground height of the dog after t seconds is given by:
The time it takes for the dog to reach 13 feet underground is <u>t for which h(t) = 13</u>, hence:
It takes 4 min for the prairie dog to reach 13 feet underground.
A similar problem is given at brainly.com/question/25290003
The factored form would be (3x-9)(x-1)
The picture should help a bit
The volume formula of a cylinder is :
From the problem, the volume is 1 m^3 and the height is 0.6 m.
Substitute the given to the formula :
Take the square root of both sides of the equation :
![\begin{gathered} r^2=0.53 \\ r=\sqrt[]{0.53} \\ r=0.728 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20r%5E2%3D0.53%20%5C%5C%20r%3D%5Csqrt%5B%5D%7B0.53%7D%20%5C%5C%20r%3D0.728%20%5Cend%7Bgathered%7D)
The answer is r = 0.728 m
