Answer:
Step-by-step explanation:
Use the Quadratic formula:
You can identify that, in this case:
Now you need to substitute these values into the formula:
Remember that:
Therefore,rewriting and simplifying, you get:
Then, you get the following roots:
Answer:
the first three are the answer
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
Answer:
x = 39
Step-by-step explanation:
there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two
so, (36 + 42)/2 = x
36 + 42 = 78
78/2 = 39
Answer:
3.528
Step-by-step explanation:
First, you need to determine the scale factor. Divide one side in the larger triangle by the corresponding side in the smaller triangle. For example, 8/2. This would give you a scale factor of 2. Then you can reverse the process with the dimensions you need to get the area. The height of the larger triangle is 3.36, so to find the height of the smaller one, you divide it by 2, or the scale factor, to get the height of the smaller triangle which is 1.68. Next, you can solve for area of triangle using a=bh/2, so 4.2*1.68/2=a = 3.528.
