1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tatiana [17]
3 years ago
13

Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada

de Q.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

You might be interested in
Which of the following inequalities are true?
yarga [219]

Answer:

i think its B or D sorry if I'm wrong

3 0
2 years ago
Which shows the factored form of x2-12x-45
Gelneren [198K]
<span>x^2 - 12x - 45
= (x - 15) (x + 3) .........</span><span>factored form</span>
4 0
3 years ago
Read 2 more answers
The plans for a rectangular deck call for the width to be 10 feet less than the length. Sam wants the deck to have an overall pe
sergeinik [125]

Length of deck is 40 feet

<h3><u><em>Solution:</em></u></h3>

Sam wants the deck to have an overall perimeter of 60 feet

Perimeter of rectangular deck = 60 feet

Let "L" be the length of rectangle and "W" be the width of rectangle

Given that plans for a rectangular deck call for the width to be 10 feet less than the length

Width = length - 10

W = L - 10  ------ eqn 1

<em><u>The perimeter of rectangle is given as:</u></em>

perimeter of rectangle = 2(length + width)

Substituting the known values we get,

60 = 2(L + L - 10)

60 = 2(2L - 10)

60 = 4L - 20

80 = 4L

L = 20

Thus the length of deck is 20 feet

7 0
2 years ago
Write the ratio as a fraction in simplest form.<br><br> 51:9
geniusboy [140]

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

8 0
3 years ago
Which expression is equivalent to 4.8+2.2w-1.4w+2.4 ?
KengaRu [80]

we just did this in math-

7 0
3 years ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B3%7D%20" id="TexFormula1" title=" {4}^{3} " alt=" {4}^{3} " align="absmiddle"
    11·2 answers
  • What does y=1\4X-5 equal
    13·1 answer
  • Leslie and Ben are designing a neighborhood. They want the diagonals from the center of each lot to be perpendicular to one anot
    5·1 answer
  • What is smallest to largest value.<br><br> 32-3/5 , 64-2/3, 81-1/4, 49-1/2, 125-2/3
    12·1 answer
  • Steven wants to keep track of how many miles he walks in a year. He expects to walk 5 miles per day, and he has
    9·1 answer
  • Kyle is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints al
    5·1 answer
  • For prime numbers :
    12·2 answers
  • ILL GIVE BRAINLIEST!!!!
    12·1 answer
  • I need help with this Geometry problem
    10·1 answer
  • What decimal is equivalent to -23/20
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!