Step-by-step explanation:
By pythagoras triplet
sum of square of bigger side should be equal to sum of square of remaining two sides
so 75² + 33² = 5625 + 1089 = 6714
and 89² = 7921
here 6714 is not equal to 7921
so this triangle is not right angled triangle
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Answer:
The x -coordinate(s) of the point(s) of intersection of these two polynomials are
The sum of these x -coordinates is
Step-by-step explanation:
The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).
Thus, and we solve for x
Using Zero Factor Theorem: = 0 if and only if = 0 or = 0
The solutions are:
The sum of these x -coordinates is
We can check our work with the graph of the two polynomials.
Answer:
2x + 3y = 4
Step-by-step explanation:
The standard form:
Ax + By = C
So from the given form, arrange it to the standard form.
First, simplify the form by distribution.
y + 6 = -2/3(x - 11)
y + 6 = -2/3x + 22/3
Next, you make the fractions into whole by multiplying both sides by 3(this would eliminate all fractions).
(3)y + 3(6) = 3(-2/3x) + 3(22/3)
3y + 18 = -2x + 22
Now, arrange the "Ax" and the "C's".
3y + 18 = -2x + 22
2x + 3y + 18 = 22
2x + 3y = 22 - 18
2x + 3y = 4
Cheers!
Shortest to tallest: Plant A, Plant B, Plant C.
Given:
Plant A 1/3 inch tall
Plant B 3/4 inch tall
Plant C 5/6 inch tall
Order from shortest to tallest.
First we need to get the least common multiple of the three fractions.
Multiple of 3: 3, 6, 9, 12
Multiple of 4: 4, 8, 12, 16
Multiple of 6: 6, 12, 18
Their least common multiple is 12. We need to multiply each fraction by the number that will give the product of 12 to the denominator.
Plant A: 1/3 * 4/4 = 4/12
Plant B: 3/4 * 3/3 = 9/12
Plant C: 5/6 * 2/2 = 10/12
Since the denominator is common, we will use the numerator as basis in ordering the plants from shortest to tallest.
4 is less than 9 and 9 is less than 10.
so, Plant A is the shortest, Plant B is the medium height, and Plant C is the tallest.
Answer:
c=13.7 meters
Step-by-step explanation:
The 7.7 meters and 6 meters added together equal 13.7