The slope is -4 and the y-intercept is -12.
Answer:
It's simple.
Step-by-step explanation:
Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are


From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
<h3>What is the Pythagoras theorem?</h3>
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.
After drawing a right-angle triangle from the above information.
Applying Pythagoras' theorem:
60² = 6² + x²
After solving:
x = 59.69 ≈ 59.7 foot
Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
Learn more about Pythagoras' theorem here:
brainly.com/question/21511305
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