Answer:
The length is 16.1 ft and the width is 4.7 ft
Step-by-step explanation:
Let
x -----> the total length of the tables
y -----> the width of the tables
we know that
The area is equal to
so
-----> equation A
-----> equation B
substitute equation B in equation A
Solve the quadratic equation by graphing
The solution is
Find the value of x
therefore
The length is 16.1 ft and the width is 4.7 ft
Answer:
(d - 5)^6 = d^6 - 30*d^5 + 375*d^4 - 2500*d^3 + 9375*d^2 - 18750*d + 15625
Step-by-step explanation:
Suppose you have (x + y)^6, the numbers in the 6th row of Pascal's triangle are the coefficients of the terms in a sixth order polynomial.
In the figure attached, Pascal's triangle is shown.
The coefficients are 1, 6, 15, 20, 15, 6,1. Then:
(x + y)^6 = x^6 + 6*x^5*y + 15*x^4*y^2 + 20*x^3*y^3 + 15*x^2*y^4 + 6*x*y^5+ y^6
Replacing x = d and y = -5:
(d - 5)^6 = d^6 + 6*d^5*(-5) + 15*d^4*(-5)^2 + 20*d^3*(-5)^3 + 15*d^2*(-5)^4 + 6*d*(-5)^5+ (-5)^6
(d - 5)^6 = d^6 - 30*d^5 + 375*d^4 - 2500*d^3 + 9375*d^2 - 18750*d + 15625
Answer:
Vertex form:
The vertex is
Step-by-step explanation:
For a general quadratic function the form is:
For the function
The values of the coefficients for the function are the following: ,
,
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract
Write the expression of the form
The vertex is (h, k)
The vertex is: