Answer:
m = rise/run = 4/5.
Step-by-step explanation:
This line goes throught the "exact" grid intersections (-2, 0) and (3, 4). As we move from the first point to the second, we see that x increases by 5 (this is the 'run') and y increases by 4 (this is the 'rise'). Thus, the slope of this line is m = rise/run = 4/5.
Answer:
Devante is 23 and Savannah is 32.
Step-by-step explanation:
We can set up a system of equations.
s - savannah's age
d - devante's age
s = d + 9
s + d = 53
Now we can substitute (d + 9) for s in the second equation.
(d + 9) + d = 53
2d + 9 = 53
2d = 46
<u>d = 23</u>
To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)
23 + 9 = 32
<u>s = 32</u>
Answer:
10.6
Step-by-step explanation:
The amount of salt in one liter is 1.2 ounces, meaning to make one pound (16 oz) it would take 13 1/3 liters of water.
For 2.5 pounds, it would be 2.5*16, or 40-- 40 liters for 2.5 pounds of salt.
40 liters in (U.S.) gallons is 40/ (approximately) 3.785 , or 10.5680, 10.6
This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
