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3 years ago

Write the equation of the line that passes through the given points. (0,3) and (-17,1)

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

the equation: y=2/17x+3

the slope: 2/17

Step-by-step explanation:

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the sum of Ages of two brother is 18the elder brother is 10 years older than younger brother then what are the ages of those bro

NemiM [27]

Answer:

Age of younger brother is 4 years..

And age if elder brother is 14 years.

Step-by-step explanation:

Let us denote 'x' as the age of smaller brother,

then, the age of younger brother will be x+10 years.

x+x+10 = 18

2x+10 = 18

2x = 18-10

2x = 8

x = 8/2

x = 4

Age of younger brother is 4 years.

Age of elder brother = x + 10

= 4 + 10

= 14 years.

4 0

3 years ago

Find the derivative of <img src="https://tex.z-dn.net/?f=tan%5E%7B-1%7D%20x" id="TexFormula1" title="tan^{-1} x" alt="tan^{-1} x

sladkih [1.3K]

$\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}$

$\frak {\huge{ \frac{1}{1 + {x}^{2} } }}$

Step-by-step explanation:

$\sf let \: f(x) = { \tan }^{ - 1} x \\ \\ \sf f(x + h) = { \tan}^{ - 1} (x + h)$

$\sf f'(x) = \frac{f(x+h) - f(x) }{h}$

$\sf \implies \lim_{ h \to 0 } \frac{ { \tan }^{ - 1}(x + h) - { \tan}^{ - 1}x }{h} \\ \\ \\ \sf \implies \lim_ {h \to 0} \frac{ { \tan}^{ - 1} \frac{x + h - x}{1 + (x + h)x} }{h}$

By using

$\sf { \tan}^{ - 1} x - { \tan}^{ - 1} y = \\ \sf { \tan}^{ - 1} \frac{x - y}{1 + xy} formula$

$\sf \implies \large \lim_{h \to0 } \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{h} \\ \\ \\ \sf \implies \large{\lim_{h \to0} } \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{ \frac{h}{1 + hx + {x}^{2} } \times (1 + hx + {x}^{2} )} \\ \\ \\ \sf \implies \large \lim_{h \to0} \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{ \frac{h}{1 + hx + {x}^{2} } } + \lim_{h \to0} \frac{1}{1 + hx + {x}^{2} }$

Now putting the value of h = 0

$\sf \large \implies 0 + \frac{1}{1 + 0 + {x}^{2} } \\ \\ \\ \purple{ \boxed { \implies \frac{1}{1 + {x}^{2} } }}$

6 0

2 years ago

Carmen paid $17.64 for a 7.94-ky bag of dog food. A few weekel later, she paid $18.88 for an 8,39 ky bag at a different store,

shepuryov [24]

Not sure gffhjjhsbhjjkk

5 0

3 years ago

Help (fraction) problem :(

Nastasia [14]

Answer:

it's 8 4/6 because you have to make the denominator all 6 so you would have to mutiply the bottom and do the same for the top keep the whole number the same and then add it all up you'll get 8 4/6

4 0

3 years ago

Read 2 more answers

Please answer please

IRISSAK [1]

Step-by-step explanation:

cos A = 16/20 = 4/5

tan A = 12/16 = 3/4

sin A = 12/20 = 3/5

4 0

3 years ago

Write the equation of the line that passes through the given points. ​(0​,3​) and ​(-17​,1​)

Write the equation of the line that passes through the given points. (0,3) and (-17,1)