Answer:
Step-by-step explanation:
when you raise an exponent to a power you multiply
Also since the terms inside the parenthesis are multiplied and not added, you don't have to worry about expanding it
1.) 1+10a-5a
Subtract 5a from 10a
Final Answer: 1+5a
3.) x-9-3x
Subtract 3x from x
Final Answer: -9-2x
5.) 1-4n+2n-1
Subtract 1 from 1
-4n+2n
Add
Final Answer: -2n
7.) 10k-3k
Subtract
Final Answer: 7k
9.) 5r+4-4
Subtract
Final Answer: 5r
Answer:
(7√6)/2
Step-by-step explanation:
The side ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
This tells you the length of the horizontal line is 7√3, and the value of x is ...
(7√3)/√2 = (7√6)/2
_____
<em>Additional comment</em>
Call the length of the horizontal line "y". Then the given ratios tell you ...
7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3
and
x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2
When we rationalize the denominator, we get ...
x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2
Answer:
Radius of the circle = 6 units
Step-by-step explanation:
Let the radius of the circle be r
According to the given condition:
Area of the circle = 3 times the circumference of the circle
Answer:
see explanation
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in
perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in
Equating the two gives
10x - 6 = 24 ( add 6 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Thus
length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in
Width of rectangle B = x = 3 in
