Answer:
Part a) The length of the mat is 
Part b) The area of the mat is 
Step-by-step explanation:
step 1
Find the length
Let
L-----> the length of the rectangle
W---> the width of the rectangle
we know that
The perimeter of rectangle is
so
----> equation A
-----> equation B
substitute equation B in equation A
solve for W
Find the value of L
step 2
Find the area
The area of rectangle is equal to
substitute the values
Answer:
(6,5)
Step-by-step explanation:
When reflected across the x axis, x-values does not change, and y-value changes on opposite.
(6, -5) ---> (6, 5)
Answer:
0 ≤ u < 7 and 0 > u > - 7 and combining those two we get - 7 < u < 7.
Step-by-step explanation:
The given inequality is |u| - 2 < 5 ....... (1)
We have to solve this inequality.
Now, from the definition of f(x) = |x| we get, f(x) = x, when x ≥ 0 and
f(x) = -x when x < 0.
Hence, for u ≥ 0, the equation of inequality (1) becomes
u - 2 < 5
⇒ u < 7
Therefore, the solution is 0 ≤ u < 7 (Answer)
Again, for u < 0, the equation of inequality (1) becomes
- u - 2 < 5
⇒ u + 2 > - 5
⇒ u > - 7
Therefore, the solution becomes 0 > u > - 7 (Answer)
Answer:
90 ft
Step-by-step explanation:
first you find the area of the 10 by 3 triangle, since on the other side it,s the same, all we need to do is find one of each triangle then mulitply it by 2 to get the area. then find the area of the 20 by 3 triangle. once you do that you will get 45, then you multiply it by 2 because it is the exact same on the other sides. then when you do that you get 90 ft. I hope this helps you! peace out.
Answer:
The Index
Step-by-step explanation:
A radical expression is composed of three parts:
The Radicand - The number or term under the horizontal bar of the radical symbol.
Radical Symbol - The Radical Symbol √
Index - The number near the "check" part of the radical symbol.
In the given expression, 4 is the index. We are supposed to find the 4th root of x to the third power.
Hope this helps.
