Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
Answer:
87.5 square inches
Step-by-step explanation:
The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.
Area of the belt knuckle = area of the 4 triangles + area of the rectangle
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 9 inches
height (h) = 2.5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*9*2.5)
= 22.5 inches²
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 4 inches
height (h) = 5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*4*5)
= 20 inches²
✔️Area of the rectangle = l*w
l = 9 inches
w = 5 inches
Area = 9*5 = 45 inches²
✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches
Answer:
$3.50
Step-by-step explanation:
5.25/3 = 1.75
1.75 x 2 = 3.5
3/4 can be sliced from three pieces
Answer:
7m +3
Step-by-step explanation:
To find the perimeter of a triangle, we add up all the sides
m + 3m + 3m+3
Combine like terms
7m +3
