Answer:
32
Step-by-step explanation:
substitute the given values of a, b and c into the expression:
b² - 2ac = 4² - (2 x 4 x -2)
= 16 - (-16)
= 16 + 16
= 32
Answer:
1. If it is just a line and it has no end points then it means that it is a line if it has endpoints then it's a line segnment.
2. a suplementary angle is equal to 180 degrees and congruent angels are equal angles. (conruent is just a fancy word for equal.)
Step-by-step explanation:
/
Answer:
$9.9
Step-by-step explanation:
Answer:
The first term is 14
The common difference is -2.5
Step-by-step explanation:
we know that
The rule to calculate the an term in an arithmetic sequence is

where
d is the common difference
a_1 is the first term
we have that
The third term of an arithmetic sequence is equal to 9
so


substitute

----> equation A
The rule to find the sum of the the first n terms of the arithmetic sequence is equal to
![S=\frac{n}{2} [2a_1+(n-1)d]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Bn%7D%7B2%7D%20%5B2a_1%2B%28n-1%29d%5D)
we have
The sum of the first 8 term is 42
so


substitute
![42=\frac{8}{2} [2a_1+(8-1)d]](https://tex.z-dn.net/?f=42%3D%5Cfrac%7B8%7D%7B2%7D%20%5B2a_1%2B%288-1%29d%5D)
![42=4[2a_1+7d]](https://tex.z-dn.net/?f=42%3D4%5B2a_1%2B7d%5D)
----> equation B
Solve the system of equations
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is (14,-2.5)
see the attached figure
therefore

The first term is 14
The common difference is -2.5
Answer:
16
Step-by-step explanation:
8 / 2 (2+2)
8/2(4)
4(4)
16