Answer:
Therefore,
x = -13 , y = 17 or x = 12 , y = 42
Step-by-step explanation:
First, you have to form equation in terms of x and y. With the given informations, the equations will be :
Next, you have to solve it by substitution :
<span>1/3, 1/4, 1/8
The answer given is not the only possible answer. You need to come up with 3 different fractions so that the LCD (least common denominator) So first, determine the prime factors of 24.
24 = 2 * 2 * 2 * 3
Now you want some denominators that will need all of those prime factors. For the above list of 3, 4, 8, only the 3 and 8 are important, since one of them uses the prime factor of 3 and the other uses 3 prime factors of 2, so the LCD for those 2 numbers is 24. The 3rd denominator could be almost anything that uses some combination of prime factors 2,2,2,3 such as 1/2, 1/4, 1/6, 1/12, etc. I just happened to pick 1/4. The only real restriction is that none of the denominators can use any extra prime factors. If they did. then the resulting LCD would not be equal to 24.</span>
This is the concept of scale factors; The length of the larger figure will be calculated as follows;
linear scale factor=[length of larger figure]/[length of smaller figure]
plugging the values in the above formula we get:
let the length of the larger figure be x;
thus;
x/12=4/3
multiplying both sides by 12 to solve for x we get:
12*x/12=4/3x12
x=16
thus the length of the larger figure is x=16
Answer:
Step-by-step explanation:
Hope this helps!
Answer:
(5x-3)(8x-5)
Step-by-step explanation:
(5x-3)²-(3x-2)(3-5x)=(5x-3)²-(3x-2)[-(5x-3)]
=(5x-3)²+(3x-2)(5x-3)
=(5x-3)(5x-3+3x-2)
=(5x-3)(8x-5)