5x and 7y. Keep up the good work
Answer: x = 12 ft
Step-by-step explanation:
let the erect part of the pole be x
the slanted part of the pole will be 25-x
the ground distance = 5
they form a right triangle
apply Pythagoras theorem
5^2+x^2=(25-x)^2
25+x^2=x^2 - 50x + 625
50x=625-25
50x=600
x=600/50
x=12 feet
1. diameter over the circumference = diameter over the circumference
d/C = d/C
2. substitute the given values
d/C = d/C
24/75 = d/12.5
3. <span>find the factor
24/75 can be simplified down to 8/25
8/25 = d/12.5
</span><span>4. solve for the missing part
8/25 = d/12.5
cross multiply
(8*12.5) = 25d
100 = 25 d
divide both sides by 25 to isolate d
4 = d
The diameter of the model is 4 inches.
Hope this helps :)</span>
The greatest common factor is B) 3x^2.
In order to find this, we must first look to see the smallest number of x's in a term. The final term 6x^2 (which could also be expressed as 6xx), has 2. Therefore we know we can take out x^2.
The next thing we look for is a number that goes in evenly to all terms. It's easiest to start with the smallest number and it's factors. 6 is the smallest number and it's factors are 6, 3, 2, 1.
Since 6 does not go in evenly to 27, we try 3. 3 goes in evenly to both 27 and 12. Therefore, we can use 3.
The end result is 3x^2
