Imagine a right triangle being made from this line, with segment AB as the hypotenuse. The missing point of the triangle would be on (-4,-5) Lets name the point C
Okay, so since we have a right triangle, we can solve for the length of AB using the pythagorean theorem.
a²+b²=c² where a and b are side lengths and c is the hypotenuse
The distance from A to C is 5units
The distance from B to C is 3 units
Plug in the data that we know
5²+3²=c²
25+9=c²
34=c²
√34=c
5.830=c
round to the nearest hundredth
5.83=c
Answer=5.83 units
Answer: the equation is
4x^2 + 4x - 12
Step-by-step explanation:
A quadratic equation is an equation in which the highest power of the unknown is 2.
The general form of a quadratic equation is expressed as
ax^2 + bx + c
Where
a is the leading coefficient
c is a constant
Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.
Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)
the equation becomes
(x+2)(x-1)
= x^2 - x +2x - 3
= x^2 + x - 3
Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes
4(x^2 + x - 3)
= 4x^2 + 4x - 12
Answer:
120 different ways
The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.
I think it’s 2 but I’m not sure
Hope this helps it shows the work meaning she paid $205
