Answer :6x + 5y = 30
5y = 30 - 6x
y = 6 - (6/5) x
So slope = -6/5
Perpendicular line has slope 5/6 (product of the slopes is -1)
So y = 5/6 x + b
Passed through (-6, -7) so -7 = -5 + b
Sp b = -2
So y = (5/6)x - 2
Step-by-step explanation:
The right answer is
D...
I just took the test Hope this helps :)
Total up the number calls that each point suggests(y coordinates).
0+2+5+9+4+3+9+6+2+0 = 40 calls
Answer:
x < <em>-11.4285......</em>
Step-by-step explanation:
<u>Step 1: Subtract 10 from both sides</u>
3.5x + 10 - 10 < -30 - 10
<em>3.5x < -40</em>
<u>Step 2: Divide both sides by 3.5</u>
3.5x / 3.5 < -40 / 3.5
<em>x < -11.4285......</em>
Answer: x < <em>-11.4285......</em>
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!