Graph the equation y=-x. is (5,5) on the line? what is the slope of the line?
1 answer:
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Answer:
Greatest prime is 83 to test 6971 is prime.
Step-by-step explanation:
To find : What is the greatest prime you must consider to test whether 6971 is prime.
Solution :
To determine whether it is prime or not we check it by taking the root and check the nearest prime factor of it
Step 1 - Take the square root of number 6971
Step 2- The last prime number before 83.49
Prime number is 83
Step 3 - Write all the prime number till 83 and if none of the digit divide 6971 then 6971 is prime.
So the only factors to check for 6971 are: 2, 3, 5, 7, 11, 13, 17, 19,, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83.
None of them divides the number
Therefore, 6971 is a prime number.
Greatest prime is 83 to test whether it is prime or not.
<em><u>The slope of HI is 1/2 </u></em>
<em><u> The slope of EF is 1/2</u></em>
<em><u>Solution:</u></em>
Given that,
Triangle DEF is congruent to right triangle GHI
Which means,
These pairs of angles are congruent
{D, G}, {E, H}, and {F, I}
In triangle DEF, E is a right angle
This means that the line segments are perpendicular.
We know that,
Product of slope of a line and slope of line perpendicular to that line is equal to -1
Given that,
Slope of DE = -2
Since the sides EF and HI are congruent,
Slopes of parallel lines are equal
Thus, Slope of HI is 1/2