Answer:
Exactly 3 factors
Step-by-step explanatin
The number 1001 is a composite number because 1001 can be divided by one, by itself and at least by 7, 11 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).
The factorization or decomposition of 1001 = 7•11•13. Notice that here, it is written in exponential form.
The prime factors of 1001 are 7, 11 and 13. It is the list of the integer's prime factors.
The number of prime factors of 1001 is 3.
Step-by-step explanation:
Length (L) = 2 cm
Breadth (b) = 2 / 3 cm
Area of the rectangle
= L * b
= 2 * 2/3
= 4/3 cm²
Hope it will help :)❤
8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16
Answer:
The area of triangle ACE before dilation is: 30 square inches
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The length of the image can be determined by multiplying the length of the original point by a certain scale factor.
Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.
Thus, it means the dilated area is 6 times the area before dilation.
Let x be the pre-dilation area
As the dilated area is 6 times the area before dilation, so
6x = 180
divide both sides by 6
6x/6 = 180/6
x = 30 square inches.
Therefore, the area of triangle ACE before dilation is: 30 square inches
F(x) and g(x) were inverse functions, then if f(a) = b, then g(b) = a
f(x) = (5x+1) / x g(x) = x / (5x+1)
f(1) = 6, but g(6) = 6/31 ≠ 1
So, f(x) and g(x) are NOT inverse functions.
