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Ronch [10]
3 years ago
15

Let v = 3i + 2j and w = 2i + 3j. Sketch v, w, v + w, 2w, and v − w in the plane

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:

Step-by-step explanation:

In the argand plane for plotting points of complex numbers we take i coefficient as x and j coefficient as y and plot as we plot regular points on the graph.

v=3i+2j

Point is (3,2) A

w =2i+3j , Point is (2,3) B

v+w = 5i +5j Point is (5,5) C

2w = 4i+6j , point is (4,6)

v-w = i-j Point (1,-1)

Please find enclosed the above points plotted on the graph.

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A line passes through (-6,-1) and (3,2).What is the equation of the line?
Lina20 [59]

Answer:

y = (1/3)x + 1

Step-by-step explanation:

You first find the slope:

(2 - (-1))/(3 - (-6)) =

3/9 =

1/3

This means the equation of the line is y = (1/3)x + b, where b is a real number.

Plug in either of the points to find the value of b:

-1 = (1/3)(-6) + b -->

-1 = -2 +b -->

1 = b

This means the equation is y = (1/3)x + 1

3 0
3 years ago
Read 2 more answers
Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is
castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

brainly.com/question/17743460

5 0
3 years ago
PLS HELP Complete the table so that the numbers in each column represent the coordinates of a point on the graph
Natasha2012 [34]

Answer:

1 is 1/2 5 is 2 1/2 and 7 would be 3 1/2

Step-by-step explanation:

4 0
3 years ago
Order these numbers from Least to Greatest 4,209 2,438 4,703 3,026
Virty [35]

2,438 3,026 4,209 4,703

7 0
4 years ago
I need help! Dilation with points on a grid!
ryzh [129]

Answer:

D'(-6,-4)

Step-by-step explanation:

When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:

8 0
3 years ago
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