What is the 8th term of the binomial expansion (x + y)10?
2 answers:
Answer:
120x^3y^7
We can use the Pascal's triangle to solve this question.
This pascal's triangle is shown in the Image below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression is :
(x+y)10
After you do the steps you be left with:
120x^3y^7
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Answer:
D) ,
Step-by-step explanation:
The blue boundary line has a y-intercept of 2 and a slope of 2.
It has equation :
Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is
The blue boundary line passes through the origin and has slope .
Its equation is
Since the boundary line is not solid and the right half-plane is shaded, its inequality is
The correct choice is D.
In the figure, we can consider that the base is the side that mesures 12 in and that the height is the side that measures 15 in, since that sides are perpendicular. So, we just need to use the given formula:
Hence, the area of the triangle is 90 in² (B).
The point L is plotted at A. (1, -1).
Step-by-step explanation:
Step 1:
First, we plot the coordinates of both triangles.
The coordinates of the triangle EFG are as follows;
E = (-4, 4), F = (-4, -2), and G = (2, -2).
The coordinates of triangle JKL are;
J = (-2, 2), K = (-2, -1), and L = (x, y).
Step 2;
Next, we need to find the distances between at least two coordinates for both triangles.
The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.
The distance of EF
The distance of JK
The distance of FG
The distance of KL = (Scale factor)(the distance of FG),
The distance of KL
Step 3;
So the point L is 3 points away from point k on the x axis.
(x, y) = (-2+3, 1) = (1, -1).
So point L is plotted at option A. (1, -1).