Answer:
8,192 bits
Step-by-step explanation:
1. Determine how many bytes are in a kilobyte.
To do this, we simply need to get 2 to the tenth power (2 * 2 * 2 * 2 * 2 *2 * 2 * 2 * 2 * 2), which ends up being 1,024 bytes in one kilobyte.
2. Determine how many bits are in 1,024 bytes.
Since 1 byte = 8 bits, all we have to do is multiply 1,024 bytes by 8 bits, which leaves us with 8,192 bits.
Answer: 1 kilobyte = 8,192 bits
To find the point of intersection, we want to set the two equations equal to each other to find where they meet. The problem is, we have two variables, which means we can't just set them equal to each other as is. We need to manipulate the equations so that we can remove one of the variables at a time to solve for the other one.
First, let's move y to one side so we can solve for x.
2x-3y=9
2x-9=3y
y=(2x-9)/3
5x+4y=11
4y=11-5x
y=(11-5x)/4
Now that they both equal the same thing (y), we can set them equal to each other and solve for x. This will give us the x value for the point of intersection of the lines.
(11-5x)/4=(2x-9)/3
3(11-5x)=4(2x-9)
33-15x=8x-36
33+36=8x+15x
69=23x
x=69/23
x=3
Now, we can do the opposite, and solve for x to find the y coordinate.
2x-3y=9
2x=3y+9
x=(3y+9)/2
5x+4y=11
5x=11-4y
x=(11-4y)/5
(3y+9)/2=(11-4y)/5
5(3y+9)=2(11-4y)
15y+45=22-8y
15y+8y=22-45
23y= -23
y= -1
The coordinates for the point of intersection of the two lines is (3, -1).
Answer:
Step-by-step explanation:
so first what you want to do is split the shape in to
Draw a line down where the 2 is.
you should have a rectangle and a triangle
then you find the area of the rectangle
Rectangle:
5 x 2 = 10m^2
After than you try to find the triangles area
the bottom of the triangle is 9m but since to split it in 2 you will now have 7m
multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2
Add your two areas together and you will get 27.5m^2
Answer:
10' 11''
Step-by-step explanation:
131 / 12 = 10.1666...
10 * 12 = 120
131 - 120 = 11
12 represents the feet and the remainder, 11, is the inches.
Answer:
35 and 15
Step-by-step explanation:
Process of elimination:
Try 105 and 5 - 105 is way too much and 5 is way too little. We know that they are between 5 and 105.
Try 50 and 10.5 - This is closer, but 50 is still too much and 10.5 is too little. We now know that the two numbers are between 10.5 and 50
Try 30 and 17.5 - This is very close, but now 30 is not enough and 17.5 is too much. We now know that the smaller number is between 10.5 and 17.5 as well as the larger number is between 30 and 50.
Try 40 and 13.125 - This is also very close, but 40 is too much and 13.125 is too little. We now know that the lower number is between 13.125 and 17.5 as well as the larger number is between 30 and 40.
Try 35 and 15 - Success: 35 and 5 make the simplified ratio of 7:3! They also are products of 525!
