Answer:
-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Alrighty let's do this.
We know that formula for the Area of a triangle is:
They give us the area as 
, so let's include it in the equation.
Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that 
So replace 
in the equation with 
.
You will now get:
Now we can work towards solving. Let's get simplifying.
bring everything to one side so we can make a quadratic and factor:
We get that 
.
Since we need the height of the triangle we'll need to call back on what h is. We found earlier that 
, so to find h, we just sub in our b value into that.
We find that 
Answer:
70% = 7/10
Step-by-step explanation:
The fraction is given in the problem statement as 70%. It can be expressed as 7/10, 0.7, 0.70, and many other ways. Take your pick.
21/2 or 10 1/2
Explanation:
8 3/4 is the same as 35/4
so Darcy harvests 35/4 per 5/6 hours
to figure out how much is harvested in one hour, you divide the amount harvested by the amount of hours taken to harvest it.
35/4 ÷ 5/6 =35/4 × 6/5
35/4 × 6/5 = 7/2 × 3/1 = 21/2
so the answer is 21/2 or 10 1/2
The first equation is x = -1
The second and third equations are no solution
The third equation is all rel numbers.
We can tell each one by solving them. In the first one, you get the following.
4 + x = -8x - 5 ----> Add 8x to both sides
4 + 9x = -5 ----> Subtract 4 from both sides
9x = -9 ----> Divide both sides by 9
x = -1
For the middle two, when you attempt to solve, you get untrue statements. This shows there are no solutions. See the example below.
7 + 2x = 2x - 7 ----> Subtract 2x from both sides
7 = -7 (UNTRUE)
And for the last one, each term cancels out, which shows that we have all real solutions.
-3x + 3 = 3( 1 - x) ----> Distribute the 3
-3x + 3 = 3 - 3x ----> Add 3x to both sides
3 = 3 (TRUE)
