$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=5\\
a_3=8\\
n=3
\end{cases}
\\\\\\
a_3=a_1+(3-1)5\implies 8=a_1+(2)5\implies 8=a_1+10
\\\\\\
\boxed{-2=a_1}
\\\\\\
a_n=-2+(n-1)5$

8 0

3 years ago

Theresa bought a new desktop computer. One side of the desktop screen is 14 inches and the

vazorg [7]

Answer:

23 inches

Step-by-step explanation:

assuming that the desktop screen is a rectangle, then it's diagonal will form two right triangles.

by the Pythagorean theorem

${a}^{2} + {b}^{2} = {c}^{2} \\ a = 14 \: and \: b = 18 \\ c = the \: hypoteneuse$

then

${14}^{2} + {18}^{2} = {c}^{2} \\ 196 + 324 = {c}^{2} \\ 520 = {c}^{2} \\ \sqrt{ {c}^{2} } = \sqrt{520} \\ c \: \: is \: a pprox. \: \: 22.8 in \\ c \: \: rounded \: is \: 23in$

8 0

2 years ago

Distance from (3,5) and (-2,-2)

pochemuha

Answer:5,7

Step-by-step explanation:

7 0

2 years ago