Area = l•w
length= 2x+1 width= x
210 = (2x+1)(x)
distribute x
210 = 2x^2 + x
move 210 to other side
2x^2+x-210 = 0
factor the polynomial
(2^x2+21x)-(20x-210)=0
x(2x+21)-10(2x+21)=0
(x-10)(2x+21)=0
x=10, -21/2
measurements can’t be negative so x=10
the width is 10
the length is 2(10)+1=21
Answer:
3. 29
4. 12
Step-by-step explanation:
I may have explained this a few more times than necessary, but agin the Pythagorean theorem. Plug in the numbers and square them. Add them, and then find the square root of that in the eNd.
Answer:
77.5 = 12.5t
6.2 mins.
Step-by-step explanation:
The scuba diver was at the sea bed from where the water surface is at 77.5 m height. The ascending speed of the diver is 12.5 m/minute.
a. If the diver take t minutes to reach the water surface, then the equation that models the situation is
77.5 = 12.5t ......(1)
b. If we consider the sea bed as a reference level i.e. zero height, then the sea surface will be at 77.5 m height.
Therefore, in that case, it is reasonable to write the distance 77.5 m as a positive number.
c. Solving the equation (1), we get, t = 6.2 minutes.
So, the diver will take 6.2 mins to reach the surface. (Answer)
Answer:
y=-3x+8
Step-by-step explanation: