Answer: y = -2/5x + 3
Step-by-step explanation:
The formula for a line is: y = mx + b.
<em>m</em> is the slope of the line. We calculate this by looking at how many units the line travels vertically over how many units the line travels horizontally, or rise over run. In this example, we can see that the line goes down 2 units for every 5 it goes to the right, meaning the slope is equal to -2/5.
<em>b</em> is the y-intercept, or where the line crosses the y-axis. In this example, the line crosses the y-axis at (0, 3) making the <em>b</em> value equal to 3.
Therefore, the equation for this line put together is y = -2/5x + 3.
Answer: 12/18
Step-by-step explanation:
For a quick explanation, all you need to do is multiply 1/6 by 6 to get 1 whole and do the same to 2/3 so it’s proportional again.
Answer:
The taxi drove Hailey for 19 miles.
Step-by-step explanation:
1. Subtract the tip.
$87.90 - $2.40 = $85.5
2. Divide by the price per mile. ($4.50)
$85.5 / $4.50 = 19
Answer:
The length of the legs is 8.64cm and 14.64cm respectively
Step-by-step explanation:
I've added an attachment to aid my explanation.
At different intervals, I'll be making reference to it.
Given



From the attachment, we have:

Since, M is the Midpoint

Substitute 17 for AB


Also, from the attachment


Substitute 8.5 for y


--------- (1)
Also, from the attachment

Substitute 8.5 for z


----------- (2)
Subtract (2) from (1)


Make x the subject

Apply Pythagoras Theorem:
We have that:

The above can be replaced with
(see attachment)

Substitute 6 + w for x




Reorder

Solve using quadratic equation:

Where







Split:
or 
or 
or 
But length can't be negative
So:

Recall that: 


<em>Hence, the length of the legs is 8.64cm and 14.64cm respectively</em>
x-5= 0
move -5 to the other side
sign changes from -5 to +5
x-5+5= 0+5
x= 5
x-6= 0
x-6+6= 0+6
x= 6
Answer: B. 5 and 6