I already finished it but how do you know if it’s decreasing or increasing?

Mathematics

2 answers:

nexus9112 [7]3 years ago

6 0

Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

Liula [17]3 years ago

6 0

The slope of the line will tell you whether it is decreasing or increasing.
negative slopes means it’s decreasing while positive slopes means the line is increasing.

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0 3 8 15 24 35... What is the next value? The choices are 46, 48, 52, and 59.

Leto [7]

The next value would be 48. The values keep increasing by odd numbers. Like the first one is 3 then it goes to 5.

3, 5, 7, 9, 11, 13.....

7 0

3 years ago

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

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 $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.