The slope is 10. For every 1 increase in x, y increases by 10.
First let's find the length of the last side. We can do this by adding AB and BC together, then subtracting this amount from the perimeter of Triangle ABC, 22 cm.
ABC - (AB + BC) ⇒ 22cm - (8cm + 5cm)
22cm - 13cm = 9cm
The hypotenuse is always the longest side of a triangle, so we know that the side we figured out is the hypotenuse. Now we can use the Pythagorean Theorem to see whether the triangle is a right triangle.
Pythagorean Theorem: a² + b² = c², where a and b are legs and c is the hypotenuse.
If a² + b² do equal c², then the triangle is a right triangle.
8² + 5² = 9²
64 + 25 = 81
89 > 81
The triangle is not a right triangle, but we know that it is obtuse since a and b together are longer than c.
Answer: Option C is correct
Step-by-step explanation:
We know tha tCos(A-B) = cosA cosB + sinAsinB
Plugging A = 180 and B = Ф
cos(180-Ф)= cos180cosФ+sin180sinФ
= (-1) cosФ+ (0) sinФ [ since cos180=-1 and sin180 =0]
= -cosФ + 0
= -cosФ
Therefore option C is the correct answer.
Answer:
The slope is 0
Step-by-step explanation:
The slope is the change of y over the change in x. Since y doesn't change at all, it's 0 over 3. 0/3 is just 0, so the slope is 0.
