Answer:
<h2>52 ft.</h2>
Step-by-step explanation:
In this case, we need to calculate a perimeter, which is the sum of all sides of the rectangle.
So, rectangles has opposite sides equal, therefore, the perimeter should be:
; having L as the larger side.

Hence, the strip of wallpaper needs to be as least 52 ft.
, that is D
when multiplying like variables add the exponents
=
= 
Answer:
They would be 44.6 miles apart
Step-by-step explanation:
Here, we want to calculate how far they will be in 1 hour
Mathematically;
Distance = speed * time
In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles
While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles
Now, we want to calculate how far apart they would be
On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end
On the 24 miles Claire would be at a distance of 20.6 miles
So how far apart they would be is
24 miles + 20.6 miles = 44.6 miles
Answer:
a = 3, b = 0, c = 0, d = -2
Step-by-step explanation:
<em>To find the reflection Multiply the matrices</em>
∵ The dimension of the first matrix is 2 × 2
∵ The dimension of the second matrix is 2 × 3
<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>
2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix
×
= ![\left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%281%2A0%2B0%2A0%29%26%281%2A3%2B0%2A0%29%26%281%2A0%2B0%2A2%29%5C%5C%280%2A0%2B-1%2A0%29%26%280%2A3%2B-1%2A0%29%26%280%2A0%2B-1%2A2%29%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%263%260%5C%5C0%260%26-2%5Cend%7Barray%7D%5Cright%5D)
Compare the elements in the answer with the third matrix to find the values of a, b, c, and d
∴ a = 3
∴ b = 0
∴ c = 0
∴ d = -2
Answer:
D. (x, y) → (-x, -y)
Step-by-step explanation:
A. (x,y) → (y,x) . . . . reflects across the line y=x
B. (x,y) → (y,-x) . . . . rotates 90° CCW
C. (x,y) → (-y,-x) . . . . reflects across the line y=-x
D. (x,y) → (-x,-y) . . . . rotates 180° about the origin