Mathematics, 02.10.2019 06:20, junielouwho

What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)? y = –one-fourthx + 33 y = –one-fourthx + 36 y = 4x − 16 y = 4x + 16

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The line that is parallel to the given line and passes through the point (4,32) is:
y=4x+16
to solve the problem, we need to remember that parallel lines have the same slope, so, we need to find a line that has the same slope that the given line and it also pass through the point (4,32).
so, we are given the line:

so, we have that the line has a slope which is equal to "4".
now, we have to find which of the given lines that have a slope equal to "4", also pass through the point (4,32), so, we need to evaluate it into the equations.
therefore, evaluating we have:
third line:

we can see that the equation is not satisfied, so the line does not pass through the point.
so, evaluating the fourth line, we have:

we can see that the equation is satisfied, so the line does pass through the point (4,32)
hence, we have that the line that is parallel to the given line and passes through the point (4,32) is:

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answered: Guest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

answered: Guest

answer: ay

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tengo que bailar contigo hoy (dy)

vi que tu mirada ya estaba llamándome

muéstrame el camino que yo voy (oh)

tú, tú eres el imán y yo soy el metal

me voy acercando y voy armando el plan

solo con pensarlo se acelera el pulso (oh yeah)

ya, ya me está gustando más de lo normal

todos mis sentidos van pidiendo más

esto hay que tomarlo sin ningún apuro

despacito

quiero respirar tu cuello despacito

deja que te diga cosas al oído

para que te acuerdes si no estás conmigo

despacito

quiero desnudarte a besos despacito

firmo en las paredes de tu laberinto

y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)

(sube, sube)

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What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through th...