Mosab plans a trip to visit his grandparents. The online directions show four possible routes. He wants to get there as quickly
1 answer:
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Answer:
y = - x - 5
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 2x + 3 is in this form with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
y = - x + c ← is the partial equation
To find c substitute (- 2, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = - x - 5 ← equation of perpendicular line
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
Solve for a. Distribute:
Combine like terms:
Subtract 18 from both sides:
Hence, the value of a is:
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.