What are the exact values for x and y

What is the ninth term in the binomial expansion of (x – 2y)13? 329,472x5y8 –329,472x5y8 –41,184x8y5 41,184x8y5

scZoUnD [109]

Hello,
Please, see the detailed solution in the attached file.
Thanks.

4 0

4 years ago

Adjust the equation so the line passes through the points. Y=x+1

lapo4ka [179]

Answer:

Slope=

2.000

=1.000

x−intercept=

−1

1

=−1.00000

y−intercept=

1

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(x+1)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-x-1 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-1 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

y-intercept = 1/1 = 1.00000

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

x-intercept = 1/-1 = -1.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 2.000/2.000 = 1.000

Geometric figure: Straight Line

1. Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3. y-intercept = 1/1 = 1.00000

3 0

3 years ago

A car is traveling at an average speed of 80km/h.What is it's speed in meters per second (m/s)

jekas [21]

Answer:

22.21 m/s

Step-by-step explanation:

1 hour = 80km

1 minute = 80000 ÷ 60 = 1.333km

1 second = 1.333 ÷ 60 = 22.21

4 0

3 years ago

You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t

lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

$Perimeter = 2 \times (Length + Width)$

Putting the values of perimeter and length to find the value of width.

$48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}$