Use the slope formula

Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

Answer:

$m = -2$

Step-by-step explanation:

First lets fill in the variables

$m = \frac{3-9}{2--1}$

Now solve

3 - 9 = -6

2 - -1 = 3

-6/3 = -2

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Given the diagram of parallelogram LMNO, solve for s.

Evgen [1.6K]

< o and < m are congruent because opposite angles are congruent
3t - 15 = 2t + 10
3t - 2t = 10 + 15
t = 25

3t - 15 = 3(25) - 15 = 75 - 15 = 60...< m = 60

< m and < o are consecutive angles and they are supplementary....so they add up to 180
< m + < o = 180
60 + < o = 180
< o = 180 - 60
< o = 120

3s = 120
s = 120/3
s = 40

6 0

3 years ago

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CALC BC HELPPP!!!??? 100PTS!!!

lyudmila [28]

the assumption being that "x" is a plain variable whilst "y" is a function, that matters because the chain rule would be needed for a function, not so for a plain variable.

$4x^2+4x+xy=5\implies 8x+4+\stackrel{\textit{product rule}}{\left( 1\cdot y+x\cdot \cfrac{dy}{dx} \right)}=0 \\\\\\ x\cfrac{dy}{dx}=-8x-4-y\implies \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x}$

now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well

$\left. \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x} \right|_{\stackrel{x=5~}{\textit{\tiny y=-23}}}\implies \cfrac{-8(5)-4-(-23)}{5}\implies \cfrac{-21}{5}$