Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that 
and 
, then:
The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that 
and 
, then:
The length of BC is 51 units.
Answer:
The length of the other leg is 
Step-by-step explanation:
I will assume that the triangle is a right triangle
In a right triangle the legs are perpendicular
so
The area of a right triangle is equal to
where
a and b are the legs of the triangle
In this problem we have
substitute the values
Answer:
Step-by-step explanation:
Solve for the mean (average) of the five test scores.
Subtract that mean from each of the five original test scores. Square each of the differences.
Find the mean (average) of each of these differences you found in Step 2.
Take the square root of this final mean from #3. This is the standard deviation.
The one that does not show a direct variation is that answer B because I notice that letters A, C, and B have slopes and that the function is equal to kx, making it a direct variation. But on the answer B, the function y = 6/x is a indirect variation, making it equal to xy = 6.
Answer:
(k - 3)(k^2 + 3k + 9)
Step-by-step explanation:
Base equation:
(k^3 - 3^3)
The first bracket will be a - b, second will be:
a^2 + ab + b^2
(k - 3)(k^2 + 3k + 9)
