So the first thing we need to do is multiply 3*-5, since order of operations dictates it (PEMDAS)

Now, whenever we see a minus negative number, we can think of it as adding a positive number

Now we just add them together

23 is the answer
Answer: 235 cm^2
Explanation: you can cut the shape into two smaller ones and then solve for each smaller shapes area. to find out the length of the top piece with 11 as length you can subtract nine from fourteen. from their you calculate the area of the top shape (11x5=55) and then the bottom shape (9x20=180). from their just add the two areas to get 235.
Answer:
3
Step-by-step explanation:
r=6/2=3
Answer:
c=7
Step-by-step explanation:
The problem says that 8 less than 4 times c is less than twenty, so we can first show 8 less than 20.
4c -( I did this because it said 4 times the number c)
Then, we show 8 less than that.
4c-8
It says it is twenty, and that means it equals twenty.
4c-8=20
Now we solve!
4c-8=20
+8 +8
*we add 8 to both sides*
4c=28
*we divide both sides by 4 since we want to isolate c*
c=28/4
c=7
I hope this helped!
First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

Which means that the roots are

Next, we can expand the function definition:

In this form, it is much easier to compute the derivative:

If we evaluate the derivative in the points of interest, we have

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

is what we need. The three lines are:
This is the tangent at x = -2
This is the tangent at x = 0
This is the tangent at x = 1