A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.

Mathematics

1 answer:

Dmitry [639]3 years ago

7 0

Answer:

y = -3/4 + 9

Step-by-step explanation:

y=mx+b

3 = -3/4(8) + b

3 = -6 + b

9 = b

y = -3/4 + 9

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The sum of two numbers is 66. the larger number is 2 more than 3 times the smaller. what are the two numbers?

Montano1993 [528]

The two numbers are 48 and 18.

66 = l + s

l = 2 + 3s

66 = 2 + 3s + s

66 = 2 + 4s

66 - 2 = 64

64 = 4s

64 / 4 = 16

66 = l + 16

66 - 16 = 50

50 - 2 = 48

16 + 2 = 18

66 = 48 + 18

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4 years ago

The cost of a candy bar in a vending machine is $0.95. The cost of a bottle of water in the same machine is $1.25. Jamie has $25

den301095 [7]

Answer:

The answer is $16.45

Step-by-step explanation:

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3 years ago

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u

salantis [7]

$\bf u\implies 
\begin{cases}
(-7,2)\\
(11,5)
\end{cases}\implies [11-(-7)]~,~[5-2]\implies (11+7)~,~(5-2)
\\\\\\
\stackrel{\textit{component form}}{\ \textless \ 18~,~3\ \textgreater \ }\\\\
-------------------------------\\\\
||u||=\sqrt{18^2+3^2}\implies ||u||=\sqrt{333}\implies ||u||=\sqrt{9\cdot 37}
\\\\\\
||u||=\sqrt{3^2\cdot 37}\implies ||u||=3\sqrt{37}\\\\
-------------------------------$

$\bf \ \textless \ -18~,~-3\ \textgreater \ \impliedby \textit{opposite vector to \underline{u}}
\\\\\\
3\cdot 3\sqrt{37}\implies 9\sqrt{37}\impliedby \textit{3 times the magnitude of \underline{u}}
\\\\\\
3\ \textless \ -18,-3\ \textgreater \ \implies \stackrel{\textit{component form of "v"}}{\ \textless \ -54~,~-9\ \textgreater \ }\impliedby \textit{3 times as long as \underline{u}}$

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3 years ago

Read 2 more answers

Horses are to race over a certain english meadow for a distance of 6.7 furlongs. what is the race distance in units of (a) rods

Law Incorporation [45]

we are given

distance=6.7 furlongs

(a) In rods

we know that

$1 furlong=40.0001 rod$