X = 13
( x + 4) / 51 = (2x - 7) / 57
585 = 45x
585/45 = 45x/45
x = 13
Answer:
That'll help a lot of people in the future ^.^
Step-by-step explanation:
7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
Answer:
Hope that helps
Step-by-step explanation:
Brainliest would be much appreciated
Answer:
256 ft²
Step-by-step explanation:
Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²
Area of a rectangle = width x length
⇒ area of larger rectangle = 6 x 12 = 72 ft²
⇒ area of smaller rectangle area = 6 x 7 = 42 ft²
⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²
