SkylarH35850 SkylarH35850
  • 03-11-2022
  • Mathematics
contestada

The coordinates of the terminal point of the vector <9,4> with its initialpoint is at (-3, 2) is (a, b). State the value of a + 2b. *

Respuesta :

BentonZ217065 BentonZ217065
  • 03-11-2022

Answer:

[tex]a+2b=18[/tex]

Step-by-step explanation:

The vector in component form is given as:

[tex][/tex]

Therefore, if the vector <9,4> has initial point at (-3, 2), to find the terminal point:

[tex]\begin{gathered} 9=x_2-(-3) \\ 4=y_2-2 \end{gathered}[/tex]

Solve for x2 and y2.

[tex]\begin{gathered} x_2=9-3=6 \\ y_2=4+2=6 \end{gathered}[/tex]

Terminal point (a,b) would be (6,6), hence the value of a+2b:

[tex]\begin{gathered} a+2b=6+2(6) \\ a+2b=18 \end{gathered}[/tex]

Answer Link

Otras preguntas

what kind of relationship would a mouse and a rabbit have
what is an object that helps explain ideas about the natural world
What is the main difference between socialism and capitalism?
what is 1/10 of 90000
A chicken can run at a top speed of 9 miles per hour. Determine the top speed of a chicken in miles per minute. Round to the nearest tenth
did the columbian exchange bring more changes to the Americas or to Europe
45 + 35n = 45 + 40n what is n?
What is one of the most important rules to remember about healthy eating? A. Eat only low-fat, low-salt foods while training. B. Eat 10 or more servings of frui
Which one of the following sentences includes a prepositional phrase? A. He came when I was away. B. Because it was raining, Gladys stayed indoors. C. Lois tr
An angle with the measure of 185 is called