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2 years ago

Find the components of the vector v with initial point P and terminal point Q. Find the unit vector u in the direction of v.

Mathematics

1 answer:

love history [14]2 years ago

8 0

Answer:

Step-by-step explanation:

v=Q-P

v=(5,1,0)

u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)

u=(5/5.09,1/5.09,0)

v=Q-P

v=(1,1,0)

u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)

u=(1/ $\sqrt{2}$ ,1/ $\sqrt{2}$ ,0)

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Which function represents the relationship between x and y?

zepelin [54]

The correct answer is c

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3 years ago

8x + y = 9 Convert the following equations to standard form

Citrus2011 [14]

Answer:

x=1/8y+9/8

y=y=−8x+9

Step-by-step explanation:

Let's solve for y.

8x+y=9

Step 1: Add -8x to both sides.

8x+y+−8x=9+−8x

y=−8x+9

Let's solve for x.

8x+y=9

Step 1: Add -y to both sides.

8x+y+−y=9+−y

8x=−y+9

Step 2: Divide both sides by 8.

8x/8=−y+9/8

x=−1/8y+9/8

5 0

3 years ago

What is the value of a in the equation? a + 6 = 22 - 7 A.11 B.9 C.14 D.8

Ugo [173]

A= 9 so the answer would be “B”

5 0

2 years ago

Read 2 more answers

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm= $7

Each mixer produced nets the firm= $6

Using this all data linear system of equation will be:

$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

$from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\$

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0

3 years ago

One teacher wants to give each student two and 1/6 slices of pizza if the teachers had 13 slices of pizza how many students will

hram777 [196]

Answer:

6 students.

Step-by-step explanation:

First let's combine 2 and 1/6.

6/6 + 6/6 + 1/6 = 13/6.

Now we will turn 13 to 13/1 and divide by 13/6

$\frac{13}{1} \div \frac{13}{6} = \frac{13}{1} \times \frac{6}{13}$

$\frac{13 \: \times \: 6 \: = \: 78}{ 1 \times \: 13 \: = \: 13}$

$78 \div 13 = 6$

So, the teacher will hand the pizza out to 6 students.

5 0

3 years ago