Answer:
A
Step-by-step explanation:
Answer:
GCF: (x - 2)
4 / (x + 5)
Step-by-step explanation:
The expression given is:
(4x - 8) / (x² + 3x - 10)
To find the greatest common factor, we have to factorise the numerator and denominator individually.
NUMERATOR:
4x - 8 = 4(x - 2)
DENOMINATOR:
x² + 3x - 10 = x² + 5x - 2x - 10
x² + 3x - 10 = x(x + 5) - 2(x + 5)
x² + 3x - 10 = (x - 2) ( x + 5)
So, the expression becomes:
4(x - 2) / [(x - 2) ( x + 5)]
We observe that the common factor in both numerator ad denominator is (x - 2).
This is the greatest common factor (GCF).
Factoring out (x - 2), the expression can be rewritten as:
4 / (x + 5)
Answer:
D. 2 to 5
Step-by-step explanation:
10 milk orders to 25 juice orders can be simplified to 2:5 when divided by five.
Answer:
147
Step-by-step explanation:
Since these lines are parallel the total sum of the angle 33+x =180 leaving you with x=180-33
Answer:
252 ft²
Step-by-step explanation:
A triangular prism has three rectangles and two triangles, to find the surface area, first find the surface area of thee rectangles and then the surface area of the triangles. After that add all the surface area.
For rectangle 1, surface area = 20 × 3 = 60 ft²
For rectangle 2, surface area = 20 × 4 = 80 ft²
For rectangle 3, surface area = 20 × 5 = 100 ft²
The triangle has height, base and hypotenuse. 5 ft is the hypotenuse and the height and base are 3 ft and 4 ft.
5² = 3² + 4²
For the triangle, the surface area = 1/2 × base × height = 1/2 × 3 × 4 = 6 ft²
Total surface are = 60 + 80 + 100 + 2(6) = 252 ft²
