Determine the equation of the line that has the same y-intercept as 2x + y + 6 = 0 and is perpendicular to the line on the grid

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Answer:

y = 1/2x - 6

Step-by-step explanation:

Change 2x + y + 6 = 0 into slope intercept form (y = mx + b)

y = -2x + 6

The slope of a perpendicular line will be the opposite reciprocal of the slope given so -2 will change to 1/2

plug in the m (1/2) and the b (6) into y = mx + b

y = 1/2x - 6

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The ratio of male teachers to female teachers in a school is 1 to 5. If there are 60females teachers how many male teachers are

ANTONII [103]

Answer:

There are 12 male teachers.

Step-by-step explanation:

Ratio of male teachers to female teachers in a school is 1 to 5.

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3 0

4 years ago

After 7 years, Amber earned $1575 in simple interest from a cd into which he initially deposited $6000. What was the annual inte

ankoles [38]

$\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1575\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &7
\end{cases}
\\\\\\
1575=(6000)(r)(7)\implies \cfrac{1575}{(6000)(7)}=r\implies 0.0375=r
\\\\\\
r\%=0.0375\cdot 100\implies r=\stackrel{\%}{3.75}$