In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction
2 answers:
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Answer:
Part a)
Part b) When Jenny divides the square root of her favorite positive integer by , she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For
-----> the product is an integer
so
The number could be Jenny favorite positive integer
2) For
-----> the product is an integer
so
The number could be Jenny favorite positive integer
3) For
-----> the product is an integer
so
The number could be Jenny favorite positive integer
Part B)
1) For
-----> the result is an integer
2) For
-----> the result is an integer
3) For
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by , she gets an integer
Answer:
<h3>AC=96 units.</h3>Step-by-step explanation:
We are given a parallelogram ABCD with diagonals AC and BD intersect at point E.
, and CE=6x .
<em>Note: The diagonals of a parallelogram intersects at mid-point.</em>
Therefore, AE = EC.
Plugging expressions for AE and EC, we get
Subtracting 6x from both sides, we get
Factoriong quadratic by product sum rule.
We need to find the factors of -16 that add upto -6.
-16 has factors -8 and +2 that add upto -6.
Therefore, factor of quadratic is (x-8)(x+2)=0
Setting each factor equal to 0 and solve for x.
x-8=0 => x=8
x+2=0 => x=-2.
We can't take x=-2 as it's a negative number.
Therefore, plugging x=8 in EC =6x, we get
EC = 6(8) = 48.
<h3>AC = AE + EC = 48+48 =96 units.</h3>