Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 10 x = 24 ( subtract 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2, since
- 12 × 2 = - 24 and - 12 + 2 = - 10, thus
(x - 12)(x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 2 = 0 ⇒ x = - 2
Answer:
x = 1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−
5
5
=3
4x+−1=3
4x−1=3
Step 2: Add 1 to both sides.
4x−1+1=3+1
4x=4
Step 3: Divide both sides by 4.
4x
4
=
4
4
x=1
Answer:
The area is 28.
Step-by-step explanation:
Visualize the rectangle as 2 split squares.
The top square is easily 4x4, so the area of that part is 16.
Now visualize the bottom square as two rectangles.
To find the area of the dented side, you would use the equation of finding the area of a triangle, a=(w x h)
because the dented side is actually just one half of the rectangle on the other side.
Since it is the same height as the top square, but is 2 in width, it would be written as a=(2 x 4) . So the area of that part is 4, and the area of the other rectangle would be just 2 x 4 so it is 8.
Totaling these numbers, you get the area of the full rectangle.
Answer:
No solution.
Step-by-step explanation:
2x + y = 7
-2x - y = 6
From the first equation:
y = 7 - 2x
Plug this into the second equation:
-2x - (7 - 2x) = 6
-2x + 2x = 6 + 7
0 = 13
this doesn't make sense so theer is:
No solution.
