Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is
It is the point slope form of a line, therefore the slope of the line is 
and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.
The point slope form of a line is
Where m is the slope and b is y-intercept.
Therefore the slope of the line is and the y-intercept of the line is 
.
Slope is defined as
Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is 
.
Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.
Hello!
To find the quadrant of where the angle 7π/6 radians is located, we will need to convert from radians to degrees. To do that, we will need to multiply it by 180/π.
7π/6 × 180/π = 1260/6 = 210 degrees
Since 210° is between 180° and 270°, then 7π/6 radians is located in the third quadrant shown by: Quadrant III, then 180° < θ < 270°.
Therefore, 7π/6 radians is located in quadrant III.
Perimeter is the lengths of the edges added up. And if the shape is a rectangle, there are 4 edges so we divide by 4. 44/4=11. each of the four sides are 11 feet long.
width=11
length=11
area=width*length=121
Complete question :
Lucy has block letters that are in the shape of cubes with sides 2 3 foot long. She has a box which is 1 1 3 foot long, 2 3 foot wide, and 2 3 foot tall. Find the number of block letters that will fit in the box.
Answer:
1/2
Step-by-step explanation:
Number of block letters that will fit in :
Volume of box ÷ volume of each letter cube
Volume of each letter cube = (side length)³ = (2/3)³ = 8/27 ft³
Volume of box = length * width * height
Volume of box = 1 1/3 * 2/3 * 2/3
Volume of box = 4/3 * 2/3 * 2/3 = 16 / 27 ft³
Therefore ;
8/27 ÷ 16/27
8/27 * 27/16
= 8/16
= 1/2
