Step-by-step explanation:
4x + 2xy=
4×4 + 2×4×-3
= 16 + (-24)
= - 8
The given shapes area is found to be 4 square yards.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.
Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards
Area of the triangle =
* base * height =
* 5 * 4 = 10 square yards.
The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.
Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.
Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.
Area of given shape = Area of the triangle - Area of the rectangle.
Area of given shape = 10 square yards - 6 square yards = 4 square yards.
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Your answer is 25% because a change from 16 to 20 represents a positive change (increase) of 25%
10 feet is 120 inches. If 2 inches represents 120 inches, then the scale is 120/20 or 1inch scale = 60 inches = 5 feet