Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.
Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.
Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:
The distance between these 2 points is 13.
0.00
*First column to your left - ones column (1)
*Column just after decimal place, in the middle - tenths column (1/10)
*Column to the far right - hundredths column (1/100)
The only numbers that can go in these columns are 0-9.
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1.54 + 2.37
= (1 + 5/10 + 4/100) + (2 + 3/10 + 7/100)
= 1 + 5/10 + 4/100 + 2 + 3/10 + 7/100
= 3 + 8/10 + 11/100
= 3 + 8/10 + (10/100 + 1/100)
= 3 + 8/10 + (1/10 + 1/100)
= 3 + 8/10 + 1/10 + 1/100
= 3 + 9/10 + 1/100
= 3.91
The pack of pens that has 12, is you bought 120 pens the total would be $90 but with the other pack it would cost $93.60
hope this helps!
Step-by-step explanation:
First we need to get his speed:
speed = distance / time
If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute
If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute
Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.
Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles
please mark me as brainliest
If a line is parallel to another it has the same slope. Since the equation y = 1/3x +8 is parallel to the line we are trying to find, our second line will have the slope of 1/3x as well
This is the equation of a line:
y = mx + b
m = slope = 1/3x
b = y intercept = unknown
We have to find b to make this equation complete. How do we do this?
First plug what you know into the equation: y = 1/3x + b
Second we must solve for b. To do this plug a point that passes through the line (in this case they said (6, -2) passes through the line) into the x and y of the equation:
-2 = 1/3(6) + b
Now solve for b!
-2 = 6/3 + b
-2 = 2 + b
- 2 - 2 = b
-4 = b
The equation parallel to y=1/3x + 8 and passes through point (6, -2) is y = 1/3x - 4
The image below is the two line one a coordinate plane. As you can see, they are parallel to each other
Hope this helped!
