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3 years ago

What is the equation for a line that passes through the points (5,-4) and (-10,17

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer:

The equation of the line is 7 x +5 y = 15.

Step-by-step explanation:

Here the given points are ( 5, -4) & ( -10, 17) -

Equation of a line whose points are given such that

( $x_{1},y_{1}$ ) & ( $x_{2}, y_{2}$ )-

y - $y_{1}$ = $\frac{y_{2} - y_{1} }{x_{2} - x_{1}}$ ( x - $x_{1}$ )

i.e. y - (-4)= $\frac{17 - (-4)}{-10 - 5}$ ( x- 5)

y + 4 = $\frac{17 + 4}{ -15}$ ( x - 5)

y + 4 = $\frac{21}{-15}$ ( x - 5 )

( y + 4) = $\frac{7}{- 5}$ ( x - 5)

5 (y + 4 ) = - 7 (x - 5 )

5 y + 20 = -7 x + 35

7 x + 5 y = 15

Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17) is 7 x + 5 y = 15.

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FinnZ [79.3K]

Answer:

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Step-by-step explanation:

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4 years ago

The population of Brazil was 162,300,000 in 1995. It was growing at a rate of about 2% per decade. Predict the population, to th

stiv31 [10]

Answer:

The population is 168,900,000 to the nearest hundred thousand

Step-by-step explanation:

In this question, we are tasked with calculating the population of Brazil given its population in 1995 and her growth rate per decade.

Mathematically, we use an exponential function to calculate this population.

This can be written as P = I(1 + r)^n

where P is the population in 2015 which we are looking for,

I is the initial population which is 162,300,000

r is the rate of increase per decade given as 2% = 2/100 = 0.02,

n is the number of times between the years we are expecting this growth. The difference between the years 2015 and 1995 is 20 years which signifies 2 decades(1 decade is 10 years). Thus our n is 2

We plug these values into the equation above;

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P = 162,300,000(1.02)^2

P = 168,856,920 which is 168,900,000 to the nearest hundred thousand

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3 years ago

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(-2)?

Shkiper50 [21]

Answer:

Step-by-step explanation:

I'm going to assume you meant "what is the value of f(g(-2))?"

g(-2) = 5(-2) + 4 = -6

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3 years ago

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3 years ago

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernel

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3 years ago