Perimeter:
The perimeter of the triangle is the sum of its sides.
We have then:
P = 8 + 12 + 10
P = 30 units
Semi-perimeter:
In geometry, the semiperimeter of a polygon is half its perimeter.
s = P / 2
s = 30/2
s = 15 units.
Area:
Knowing the semiperimeter and the sides, the area is:
A = root (s * (s-a) * (s-b) * (s-c))
where,
s: semi-meter
a, b, c are sides.
A = root (15 * (15-8) * (15-12) * (15-10))
A = 39.68626967
A = 40 units ^ 2
Answer:
D
Step-by-step explanation:
To solve for slope, use the equation:
slope = (y₂ - y₁)/(x₂ - x₁)
(8,1) = (x₁, y₁)
(8, -4) = (x₂, y₂)
Plug into corresponding places
(-4 - 1)/(8 - 8)
-5/0 = Undefined (because you cannot have parts over 0)
There is no slope. Unsolvable
hope this helps
Rate of change= (y2-y1)/(x2-x1)=(306-360)/(16-10)= - 54/6= - 9
Answer:
(2x - 3)(5x + 4)
Step-by-step explanation:
Given
10x² - 7x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 10 × - 12 = - 120 and sum = - 7
The factors are - 15 and + 8
Use these factors to split the x- term
10x² - 15x + 8x - 12 ( factor the first/second and third/fourth terms )
= 5x(2x - 3) + 4(2x - 3) ← factor out (2x - 3) from each term
= (2x - 3)(5x + 4)