First you must plot one point on the y-axis. This point will be -5 because the y-intercept is a -5. Then you look at the slope. This is the number in front of the x. The numerator tells you how far up or down to go and the denominator tells you how far left or right to go. Because the slope is positive, we will go 2 points up from -5, and 3 points right from that. Plot your point. Then do the same thing from there. 2 up and 3 right and so on.
Chose a fraction with a denometer of 8.
Ex: 3/8
To compare 5/6 and 3/8 we need to find the LCM (the lowest common denominator.)
This can easily be done by listing the multiples of each number.
6: 6, 12, 18, 24, 30, 36
8: 8, 16, 24, 32, 40, 48
The Lowest common denominator would be 24.
6*4=40
8*3=40
Since we altered the denometer, either by multyplying by 6 or 8 (to get 24), we must do the same for the numerator.
3/8*3
9/24
5/6*4
20/24
Now we compare the fraction properly.
20 is larger than 9 so we know that 3/8 is less than 5/6.
Hope this helps! Please leave a thanks/braniest answer!
Answer:
the shortest distance is the distance from a point to a line that make 90° .
so AC is the shortest distance.
<h3>step by step explanation</h3>
- then we have the find the distance between point A and C.
- to find that we use the distance formula .
d^2=(-3-1)^2 + (-3--1)^2
=(-4)^2 + (-2)^2
=16 + 4
=20
d=√20
this is the distance between point A and point C.
Answer:
x=3/2
Step-by-step explanation:
Answer:
Option (a).
Step-by-step explanation:
It is given that 3n is an odd number.
We need to find an even number from the given options.
Even numbers: Which are divisible by 2.
Odd numbers: Which are not divisible by 2.
We need know that the numbers are alternatively even and odd.
If we add or subtract 1 from an odd number, we always get an even number.
If we add or subtract 2 from an odd number, we always get an odd number.
3n is an odd number. So,
3n-1 is an odd number.
3n+2 is an even number.
3n+2 is an even number.
3n+2n is an even number because 2n is an even number and sum of two even numbers in always an even number.
Therefore, the correct option is (a).
