Answer:
Step-by-step explanation:
Hey there!!
How do we find the equation of a line ?
Ans : We take the slope and the y - intercept and get them together.
How do you find slopes?
Ans - In order to find slop, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
The two points shown in the above question are
( 4 , -8 ) and ( 8 , 5 )
y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4
Now plug in the values:
( 5 + 8 ) / ( 8 - 5 )
13 / 3
Hence, the slope is 13/3
The basic formula : y = mx + b
Where b is the y-intercept and m is the slope.
We have found the slope, hence, the formula would become
... y = 13/3 x + b
Now take a coordinate and substitute it .
I will take ( 8 , 5 )
x = 8 and y = 5
Now plug in the values
... 5 = 13/3 × 5 + b
... 5 = 65/3 + b
Subtract 65/3 on both sides
... 5 - 65/3 = b
... -50/3 = b
Hence, the y-intercept is -50/3
Now plug in all the values to get the total equation...
The final equation : y = 13x/3 - 50/3
... y = 13x - 50 / 3
Hope my answer helps!!
Answer:
She swam a total distance of 2 1/4 miles in those three days.
Step-by-step explanation:
Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)
<u>2/3 = 8/12 </u>
<u>3/4 = 9/12 </u>
<u>5/6 = 10/12</u>
Then, I added the numerators together. Like this:
<u>8 + 9 + 10 = 27 </u>
So, this would be:
<u>27/12</u>
Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.
<u>12 * 2 = 24 </u>
<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.
<u>27 - 24 = 3 </u>
<u>2 3/12</u>
After simplified, the fraction will be:
2 1/4
<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>
Answer:
34 degrees.
Step-by-step explanation:
First of all, the sum of a triangle's degree is 180.
The angle next to the 101 is 79 degree due to the rule of supplementary angle. The angle vertical to 28 is also 28. (Vertical angles are equal).
Now we now the two side, we can figure out the last side.
180-28-79= 73
The last angle is 73 degrees. However, we are looking for x.
x+39=73
All we have to do now is subtract 39 from 73, and that leaves us with 34.
Answer:X=9
Step-by-step explanation:
x+18=3x
18=2x
x=9
