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Vesna [10]
3 years ago
8

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} }

<u>Now</u><u> </u><u>putting</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>h</u><u> </u><u>=</u><u> </u><u>0</u>

<u>\sf  \large  \implies 0 +  \frac{1}{1 + 0 +  {x}^{2} }  \\  \\  \\  \purple{ \boxed  { \implies  \frac{1}{1 +  {x}^{2} } }}</u>

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
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