(b) is the answer.
Step-by-step explanation:
By the Pythagorean Theorem,
A² + B² = C²
Where:
A = Length of side 1
B = Length of side 2
C = Hypotenuse
This rule applies to all right-angled triangles.
The length of the hypotenuse of a right-angled triangle is always the largest value.
Therefore, we can test the answers with the equation above.
(a)
8² + 18² = 20²
64 + 324 = 400
388 ≠ 400
The rule of Pythagorean theorem doesn't work on a, so (a) is not a right-angled triangle.
(b)
12² + 35² = 37²
144 + 1225 = 1369
1369 = 1369
The rule of Pythagorean theorem works here, so (b) is a right-angled triangle.
Answer: 28/32 but converted its 7/8. My work is kinda messy sorry. But this is my work.
-6 (negative six) is the answer
Answer:
Wyatt wrote the correct expression
Step-by-step explanation:
Here we are to evaluate which of the students wrote an expression with the highest common factor being 8c
For Tanya; 32c + 16c; 16c( 2 + 1); This is wrong as the highest common factor is 16c
For Wyatt, we have 8c - 48cd; factorizing, we have 8c(1-6cd); This is correct
For Xavier we have 36c-24c; 8 is not a factor of 36, so it won’t work
For Yang 8c + 40; 8(c+ 5); what we are trying to look for is 8c and not 8 so this is wrong also
Find the critical points of 
:
All three points lie within 
, and 
takes on values of
Now check for extrema on the boundary of . Convert to polar coordinates:
Find the critical points of 
:
where 
is any integer. There are some redundant critical points, so we'll just consider 
, which gives
which gives values of
So altogether, has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).
