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3 years ago

A line passes through the point (-8, 4) and has a slope of - 5/4.

Mathematics

2 answers:

ratelena [41]3 years ago

6 0

Answer:

y-4=m(x+8)

Step-by-step explanation:

point slope form is y-y1=m(x-x1) where y1 is the y in the point the line passes through, and x1 is the x in the point the line passes through.

So, you can put in (-8,4) in as I did.

Also, since the x in the point the line passes through is a negative, and two negatives make a positive, that's why the x-x1 part changes into x+8

Hope my explanation makes sense!

Bad White [126]3 years ago

4 0

Answer:

Point-slope equation is

y-y1 = m(x-x1)

m is a slope, m=5/4

y1 = -5, x1 = 8

Point-slope equation is

y+5 = 5/4(x - 8).

Step-by-step explanation:

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3 years ago

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Eduardwww [97]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{40}}}}}$

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Yara multiplies and divides a certain number by the same

Butoxors [25]

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

$x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004$

From the first equation we have:

$10 ^ y = \frac {40,000} {x}$

Substituting in the second equation:

$\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}$

We choose the positive value:

$x = 0.4$

So, the number is 0.4.

So:

$10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5$

Thus, the exponent is 5.

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3 years ago

Will give 25 points and brainliest answer if correct

Norma-Jean [14]

Let $d$ be the common difference between terms in the sequence $\{a_n\}_{n\ge1}$ . Then

$a_{19}=-58$
$a_{20}=a_{19}+d$
$a_{21}=a_{19}+2d$
$\implies-164=-58+2d\implies d=-53$

The first term in the sequence, $a_1$ , satisfies

$a_2=a_1+d$
$a_3=a_1+2d$
$a_4=a_1+3d$
...
$a_{19}=a_1+18d$
$\implies-58=a_1+18(-53)\implies a_1=896$

So the explicit formula for the $n$ -th term in the sequence is

$a_n=a_1+(n-1)d\implies a_n=896-53(n-1)$

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3 years ago