Answer:
25x - 45 = 5(5x - 9)
Step-by-step explanation:
Find the greatest common factor (GCF) of 25 and 45.
You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:
Factors of 25: 1, 5, 25
Factors of 45: 1, 3, 5, 9, 15, 45
Therefore, 25 and 45 have 2 common factors: 1 and 5
So the greatest common factors is 5
25x - 45 = 5(ax - b)
To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5
To find the value of b, divide 45 by 5: 45 ÷ 5 = 9
25x - 45 = 5(5x - 9)
If it is isosceles, than the legs are the same. We will call them X. The formula for the area of a triangle is 1/2 (base * height). But the base and the height are both X. So the area (18) is equal to 1/2 (x * x), or 1/2(x^2). This means that 36 = x^2. Thus, the length of each side is 6 inches. You can check this work by plugging those into the formula for area. You will find that it equals 18.
Answer: 120, 60, 180
Step-by-step explanation:
1) Area of a rectangle's formula is:
l × w
So, looking at the diagram, we get:
6 × 20 = 120 cm²
2) Area of a trapezoid's formula is:
× h (where both a and b are the different base lengths)
So, looking at the diagram, we get:
× 4 = 60 cm²
3) Add both to find the area of the entire figure.
120 + 60 = 180 cm²
<span>The equation fpxq =ax defines an exponential function with base a. The domain of the function is all real numbers.</span>
