Answer:
Right triangles are triangles in which one of the interior angles is 90 degrees, a right angle. Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary).
The side opposite the right angle is called the hypotenuse. The sides adjacent to the right angle are the legs. When using the Pythagorean Theorem, the hypotenuse or its length is often labeled with a lower case c. The legs (or their lengths) are usually labeled a and b.
Step-by-step explanation:
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Answer: finding slope (-4, 1), (1,-2) : m= -3/5
To solve this remember PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). This is the order in which you solve such problems.
So, start with P or Parenthesis. The brackets ([]) are considered parenthesis, which means you want to solve everything inside them first. So to simplify inside the brackets, think pemdas again and look for more Parenthesis. There are two sets of parenthesis inside the brackets, but only one requires you to simplify: (-2-5) [aka (-2)+(-5).] which is -7.
This leaves you with -2[(-3)(-7)(3)]
Next comes E, but there are no exponents.
After that is Multiplication. You can now multiply the numbers in these>> [] brackets. So (-3) x (-7) x (3) is 63. the number is positive because the two negatives cancel one another out to become positive.
that leaves you with -2[63] which is equal to -126.
I hope this helps :)
Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
