Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
Answer:
ST = 20
Step-by-step explanation:
RT is the sum of RS and ST
Replacing with length you get:
17 + x + 6 = 3x - 56
17 + 6 + 5 = 3x - x
28 = 2x
14 = x
ST = x + 6 = 14 + 6 = 20
It opens downwards so it looks like this “n”. That is because a in the formula is a negative number in this situation
Answer:
37ft³
Step-by-step explanation:
Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³
Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³
Volume of the water = volume of the fish tank - volume of the cubic stone
i.e Volume of the water = 45ft³ - 8ft³ = 37ft³
Answer:
BF
BA
AG
Step-by-step explanation: