Answer:
The answer is 7/24.
Step-by-step explanation:
I attached a picture, but I'll try to walk through it here.
1) A negative and a negative makes a positive, so h becomes positive.
2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).
3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.
4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.
5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.
You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.
P = paddling speed
C = speed of the current
Upstream: 6 = 4 (P - C. Downstream: 6 = 3 (P + C)
4P - 4C = 6
3P + 3C = 6
12P - 12C = 18
12P + 12C = 24
Add the equations:
24P = 42. P = 42/24 = 1.75 mph
Subtract the equations:
-24C = -6
C = 0.25 mph
Your solution is x= -7
5x+10=2x-11
(5x-2x)+10=(2x-2x)-11
3x+10=-11
3x(+10-10)=(-11-10)
3x=-21
3x\3=-21\3
X= -7
The answer is C: (-3,-1)
To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you
Here is proof the answer is C :
<em>y > x - 2 </em>
(lets plug in point C)
-1 > -3 - 2
<u>solve </u>
-1 > -5 <em>?</em>
<em>Yes</em> this statement is true- onto the next inequalitity!
<em>y > 2x + 2 </em>
-1 > 2(-3) + 2
<u>solve </u>
-1 > -6 + 2
-1 > -4<em> ? </em>
<em>Yes, </em>this inequality is true too!
Know we know answer c (-3,-1) is the right answer!