If the two sides with length 3 and 4 are the two legs, then the missing side, i.e. the hypotenuse, is indeed 5.
But it could also be the case that 4 is the hypotenuse and 3 is one of the legs. In this case, the missing side is the other leg, so we calculate it using
So, a right triangle with legs 
and 3 has an hypotenuse of 4.
Answer: 
Step-by-step explanation:
Given
Cost per student in the year 1978 is $2200
The cost increases to $10,300 in 2008
Suppose 
is the linear equation defining the cost per student after x years
Substitute the value for 1978
After 30 years it becomes
Thus, the linear equation becomes
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where
(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex
This is also called vertex form because the vertex (h,k) is grouped according to their variable.
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be
y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.
The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1
Answer:
4in : 1ft
Step-by-step explanation:
We start with:
3/4 in = 3/16 ft
This means that the length of 3/4 inches is the same as the length of 3/16 feet.
To reduce this, we can start by dividing by 3 in both sides of the equation:
(3/4)/3 in = (3/16)/3 ft
1/4 in = 1/16 ft
Now we can multiply both sides by 16:
16/4 in = 16/16ft
4 in = 1ft
now we reduced the ratio to:
4in : 1ft
Step-by-step explanation:
Sp = rs 800
loss = 10%
Cp = ?
we know that,
cp= sp×100÷ 100-L%
= 800×100÷100-10
= 80000÷90
= 888.89#
