You can take x = a, 2y = b and then can apply the binomial theorem.
The expansion of given expression is given by:
Option D: 
is
<h3>What is binomial theorem?</h3>
It provides algebraic expansion of exponentiated(integer) binomial.
According to binomial theorem,
<h3>How to use binomial theorem for given expression?</h3>
Taking a = x, and b =2y, we have n = 7, thus:
Thus, Option D: is correct.
Learn more about binomial theorem here:
brainly.com/question/86555
Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
e) The correlation coefficient, r, is 0.397.
Step-by-step explanation:
Given that:
Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158
Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.
Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397
Answer:
The width of the floor is 10 ft.
Step-by-step explanation:
First, you have to form expressions of width and length in terms of w. With the given information :
width = w ft
length = (w - 2) ft
Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :
A = l × w
80 = (w - 2) × w
w(w - 2) = 80
w² - 2w = 80
w² - 2w - 80 = 0
(w + 8)(w - 10) = 0
w + 8 = 0
w = -8 (rejected)
w - 10 = 0
w = 10
This is what I learned:
D = Divide
M = Multiply
S = Subtract
B = Bring down
C= Check
D= Dad
M= Mom
S= Sister
B= Brother
C= Cousin
Hope this helped you! :)
Step-by-step explanation:
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
