Answer:
Step-by-step explanation:
(21x-14)+4=95 - Distributed in the 7 into the parenthesis
21x-10=95 - combine like terms
21x=105 - add 10 to both sides
x=5 - divide both sides by 21
Answer:
each 10 minutes equals 1 foot
Step-by-step explanation:
The equation would be written like this 2x-10=48. First add 10 to both sides so 2x-10+10=48+10 so simplified that is 2x=58. Now, divide both sides by 2 to get x by itself so it will look like this 2x/2=58/2 simplified that is x=29. I hope this helped you.
Answer:
the slope is 5x
Step-by-step explanation:
Answer:
y = 3/5x - 17/5
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
First, plug in these values of the two given points.
(-4 - (-1)) / (-1 - 4)
Simplify within the parentheses.
(-4 + 1) / (-1 - 4)
(-3) / (-5)
3/5
This is your slope. Plug this into a standard slope-intercept equation: y = mx + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 3/5(-1) + b
Multiply.
-4 = -3/5 + b
Add 3/5 to both sides. -- To add it easier, <em>convert 4 to a have a denominator of 5</em>.
-20/5 = -3/5 + b
-20/5 + 3/5 = b
-17/5 = b
Now, plug this into your standard equation.
y = 3/5x - 17/5
Check this equation by plugging in the <em>other point you did not use</em> (4, -1)
-1 = 3/5(4) - 17/5
-1 = 12/5 - 17/5
-1 = -5/5
-1 = -1
Your answer is correct!
Hope this helps!
