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3 years ago

The given line passes through the points and (4, 1).

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

9514 1404 393

Answer:

y +3 = 1/2(x +4)

Step-by-step explanation:

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The point-slope form of the equation for a line is ...

y -y1 = m(x -x1)

Filling in the known values, this is ...

y -(-3) = 1/2(x -(-4))

y +3 = 1/2(x +4)

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noname [10]

Answer:

Step-by-step explanation:

this one is correct

1/5+1/5=2/5

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3 years ago

Solve for b.

BARSIC [14]

Answer:

Step-by-step explanation:

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3 years ago

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HELP PLEASE !!!!!!!!!!!

horrorfan [7]

Answer:

option B

Step-by-step explanation:

$\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )$

$= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty$

$\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\$

$= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3$

$\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\$ $\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty$

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3 years ago

Marissa is 8 years older than lance. next year, lance will be 3 times lances age. how old is lance?

olga2289 [7]

Answer:

The answer would be 3

Step-by-step explanation:

This is because, hope this makes sense, Shes 8 years older and the answer choices were: 3, 4, 11 and 12, well 3+8=11 and it says next year she will be 3 times his age, still being 8 years older, next year lance will be 4 and whats 3 years times 4, twelve. And whats 8 years older than four 12. Hope this makes sense but it has to be 3.

8 0

3 years ago

Can someone please answer. There is one problem. There's a picture. Thank you!

yawa3891 [41]

Degrees: $s = \frac{\pi}{180}\theta r$
   $s = \frac{\pi}{180}(\frac{s}{r})(r)$
  <span> $s = \frac{\pi}{180}(\frac{165}{4})(4)$
  </span> $s = \frac{\pi}{180}(41.25)(4)$
   $s = \frac{\pi}{180}(165)$
   $s = \frac{165\pi}{180}$
   $s = \frac{11\pi}{12}$
   $s = \frac{11\pi}{12} * \frac{180}{\pi}$
   $s = 11 * 15$
   $s = 165\°$

Radians: $s = \theta r$
$s = \frac{s}{r}(r)$
$s = \frac{165}{4}(4)$
$s =41.25(4)$
$s =165$
$s =165 * \frac{\pi}{180}$
$s =11 * \frac{\pi}{12}$
$s = \frac{11\pi}{12}$

$Arc\ Length = \frac{central\ angle}{360} * circumference$
$Arc\ Length = \frac{\theta}{360} * 2\pi r$
$Arc\ Length = \frac{165}{360} * 2(3.14)(4)$
$Arc\ Length = \frac{11}{24} * 2(12.56)$
$Arc\ Length = \frac{11}{24} * 25.12$
$Arc\ Length = \frac{276.32}{24}$
$Arc\ Length \approx 11.51\bar{3}$

The answer is A.

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3 years ago

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