Answer: (x - 2)(3x - 5)
Step-by-step explanation:
I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)
the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.
Answer:
The perimeter of rectangle is 
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
----> equation A
---> equation B (area of the constructed figure)
substitute the equation A in equation B

using a graphing tool -----> solve the quadratic equation
see the attached figure
The solution is

Find the value of x
----> 
Find the perimeter of rectangle

Answer:
200
Step-by-step explanation:
Step-by-step explanation:
Volume of the cylinder = πr²h
π(2.1)² (6) = 83.12 cm³
volume of prism = ½bhl
2(10)(3.5) = 70cm³
Volume of cylinder is more than that of prism.
Therefore, Cylinder holds more water
Step-by-step explanation:
Given:
Two Equations
y = x + 5 ..................(1)
y = (3/2) x - 5 ...................(2)
Both are considered as Equation (1) and (2) respectively,
Equating the equation 1 and 2, we get
⇒ x + 5 = (3/2) x - 5
⇒ x - (3/2) x = - 5 - 5
⇒ (2x - 3x) /2 = - 10
⇒ - x = - 20
⇒ x = 20
Now substituting "x = 20" in equation (1), we get
⇒ y = 20 + 5
⇒ y = 25
Thus, we get the value of x = 20 and value of y = 25.