Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

A: 0
B: 13
C: 8
D:16

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]

   = [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]

    = [tex]\sqrt{25+144}[/tex]

    = [tex]\sqrt{169}[/tex]

     = 13 → B


Related Questions

Henry visits the library once every 6 days while James visits it once every 4 days. Both meet each other at the library for the second time on Thursday. On which day of the week did they meet each other for the first time?

Answers

Answer:

They met on Sunday for the first time.

Step-by-step explanation:

This can be found out by taking the LCM

The factors of 6 = 1*2*3

The factors of 4= 1*2*2

LCM = 2*2*3= 12

They both will meet on the 12 day for the second time.

If Thursday is the 12th day  then counting backwards , they met on Sunday for the first time.

Liah randomly selected 25% of the seventh-grade students in her school and asked
them their favorite season. Of the students surveyed, 53 chose summer as their
favorite season. Based on the data, what is the most reasonable prediction of the
number of seventh-grade students in her school who would choose summer as their
favorite season?

Answers

Answer:

212

Step by Step Explanation:

out of 1/4 of the school, 53 chose summer

53*4=212

Someone please help!! I’ll give brainliest:))

Answers

I’ve attached my work...
Hope it helps! Have a nice day :)

Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants.
How many different outfits can Alphonsus put together with his new clothes?

A. 1
B. 3
C. 4
D. 7
E. 12

Answers

E. 12
You take 4 shirts times 3 pairs of pants

Find the measure of angle DAB in the given figure.
a)46
b)25
c) none

Answers

I believe the answer is A!!

A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Need help solving these questions!!! PLEASE HELP AS SOON AS YOU CAN!! 7.
Use the figure below to identify angle pairs: Picture included
Part I:Name a pair of angles that are complementary and adjacent. (1 point)
Part II: Name a pair of angles that are complementary but not adjacent. (1 point)
Part III: Name a pair of angles that are supplementary and adjacent. (1 point)
Part IV: Name a pair of angles that are supplementary but not adjacent. (1 point)
8. Use the figure below to identify and name points. (second picture)
Part I: Name three points that are collinear. (1 point)
Part II: Name three points that are noncollinear. (1 point)
If CD is the perpendicular bisector of AB , then _____ = EB and m

Answers

Answer:

Step-by-step explanation::)

A car that is purchased got 24000 is expected to depreciate at a rate of 7% per year. If the function f(x)=ab^x models this situation, which function could be used to find the value of the car after 10 years?

Answers

Answer:

FV= 24,000*(1.07^-10)

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $24,000

Decrease rate (d)= 7%

Number of periods (n)= 10 years

To calculate the value of the car after 10 years, we need to use the following formula:

FV= PV*(1+d)^-n

FV= 24,000*(1.07^-10)

FV= $12,200.38

Guys please help I’m having so much trouble

Answers

Answer:

Hello! Your answer would be B)B

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

37).
I have read 313 pages of my 1298 pages book. How many pages
must I read until I reach the middle?

Answers

Answer:

336

Step-by-step explanation:

Answer:

you should read 336 pages for you to reach the middle.

Step-by-step explanation:

1298/2--649

649-313--336

what is the value of v in the equation -25=-(4v+7)+10​

Answers

Answer:

-25 = -(4v+7)+10

-25 = -4v-7+10

-25 = -4v+3

4v = 3+25

4v = 28

v = 28 ÷ 4

v = 7

Answer:

Therefore the value of v in the equation is 7

What time is shown on this clock?

six forty-three

seven forty-three

eight thirty-two

nine thirty-two

Answers

Answer:

theres no clock

Step-by-step explanation:

Please help ASAP!!
A turtle and a snail are 360 meters (who counts this again?) apart, and they start to move towards each other at 3 pm. If the turtle is 11 times as fast as the snail, and they met at 3:40 pm, find the speed of each.
Thank you!! :)

Answers

Answer:

Turtle = 11 m / min      

Snail = 1 m / min

Total approach speed = 12 m/min

360 m / (12 m/min) = 30 min

Separation is 30  min       at assumed speed of 1 m/min

But we know the separation is 40 min

So turtle moves at 3/4 * 11 m / min = 33 m/ 4 min

Snail moves at 3/4 * 1 m /min = 3/4 m / mi

Total approach speed = (33 + 3) / 4 = 9 m / min

So in 40 min

9 m / min * 40 min = 360 m

(Leaving out those units,  they approach at 12 * unit of speed)

So the unit of speed has to be 360 m / 40 min = 9 m / min

Maria sets a goal of jogging 17.4 miles this week.She plans on running 2.75 miles each day for 7 dadys.If she follows her plan,witch is true?

Answers

Step-by-step explanation:

Given

Maria goal's is to Jog 17.4 miles

She runs 2.75 miles each day for 7 days

Total distance covered by her in 7 days

[tex]\Rightarrow 2.75\times 7=19.25\ \text{miles}[/tex]

So, she covers more than what she had planned.

Therefore, she is successful in her plan.

Question 8
1 pts
Write the equation of a line that passes through the point (-5,-4) and has
a slope of 1/5.
O y = 0.2x + 3
O y = 0.2x - 3
O y=-3x -0.2
O y = 0.2x - 4
< Previous
Next →

Answers

Answer:

B) y=1/5x-3 where 1/5=0.2.

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=1/5(x-(-5))

y+4=1/5(x+5)

y=1/5x+5/5-4

y=1/5x+1-4

y=1/5x-3

ASAP someone please use the Pythagorean Theorem to solve for the missing side of these two right triangles.

Answers

Answer:

9) x = 5

10) x = 4

Step-by-step explanation:

a^2 + b^2 = c^2

9) 6^2 + x^2 = 8^2

  - 36 + x^2 = 64

  -  36            - 36

_______________

           x^2 = 28

Square root them

Squareroot x^2 is x

Square root 28 is 5.29 round is 5

so x = 5

*Correct me if im wrong*

10) 3^2 + x^2 = 5^2

     9 + x^2 = 25

  -  9              - 9

____________________

             x^2= 16

Square root them

square root of x ^2 is x and square root of 16 is 4

so x = 4

What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution

Answers

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

4/5x=3/10(x+4)  / · 10

8x=3(x+4)

8x=3x+12

8x-3x=12

5x=12  /:5

x=12/5

Which expression shows the amount would you pay if your lunch bill is X and you leave(pay) a 15% tip?

a) x - 0.15x
b) x + 0.15x
c) 1.15x - x
d) 2.15x

Answers

Answer:

Step-by-step explanation:

(b) is correct.  x represents the bill and 0.15 represents the 15% tip on that bill.

Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What
distance will Dallas run from point A to point B?
30 yards
48 yards
50 yards
98 yards

Answers

Answer:

B 48 yards

Step-by-step explanation:

area of triangle with 5 cm radius

Answers

The answer is 32.5cm^2

Hope this helps!!

This graph represents the function f(x)=sin(2x)

Answers

Answer:

a

Step-by-step explanation:

a is the correct statement because there is a relative minimum at 3pi/4 and y values are negative on the interval [pi/2,pi]

The function is negative on the interval (π/2, π) option (A) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a graph of a sin function shown in the picture.

As we know the sin function can be defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.

The sin function is:

f(x) = sin(2x)

From the graph, the region between (π/2, π) the function values is negative because the function exists in the IV quadrant.

Thus, the function is negative on the interval (π/2, π) option (A) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

A rectangle 9 cm long is equal in area to a square which has a perimeter of 24 cm,find the width of the rectangle.​

I want the explanation

Answers

Answer:

3cm

Step-by-step explanation:

The length of a rectangle Is 9cm

The perimeter Is 24

Let the width be x

Therefore the width can be calculated as follows

Perimeter= 2(length+width)

24= 2(9+x)

24= 18+2x

24-18= 2x

6= 2x

x= 6/2

x= 3cm

Hence tbe width is 3cm

Can someone help me with these 3 Spanish questions? ty

Answers

Answer:

1. A

2. C

3. A

Hope this helped!

Refer to the given figure. If QR=3x+4, KL=15, JL=2x+10, find the measure of JL. A. 2 B. 6 C. 18 D. 22

Answers

Answer:

Option C

Step-by-step explanation:

From the given figure, it is clear that the two triangles are similar to each other with QR = KL

As we know

QR = 3x+4 and KL = 15, we can derive the value of X

3X+4 = 15

X = 11/3

Jl = 2X + 10 = 2*11/3 +10 = 22 +30/3 = 52/3 = 18

hence, option C is correct

HELP WILL GIVE BRAINLY NO LINKS PLS​

Answers

Answer:

♨ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}}: [/tex]

∠ FED = 115° , ∠ CEB = 160° , ∠ AEF = x°

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: F \: I \: N \: D}}} }: [/tex]

Value of x

✎ [tex] \underline{ \underline{ \large{ \tt{ \: S \: O \: L \: U \: T\: I\: O\: N}}} }: [/tex]

☃ [tex] \large{ \tt{\angle \: CEG = \angle \: \: FED\: }}[/tex] [ Being vertically opposite angle ]

↣ [tex] \large{ \tt{ \angle \: CEG = 115 \degree}}[/tex]

☼ [tex] \large{ \tt{ \angle \: GEB = \angle \: CEB - \angle \: ceg}}[/tex]

⇢ [tex] \large{ \tt{ \angle \: GEB = 160 \degree - 115 \degree = \underline{ 45 \degree}}}[/tex]

☥ [tex] \large{ \tt{ \angle \: AEC= \angle \: GEB}}[/tex] [ Being vertically opposite angles ]

⇾ [tex] \huge{ \boxed{ \underline{ \large{ \tt{x = 45 \degree}}}}}[/tex]

♕ Hope I helped ! ♡

☄Have a wonderful day / night ! ☃

❀[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]✑

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

L=10 in W=5in H=8in find the volume?

Answers

Answer:

V = 400in.

Step-by-step explanation:

We are given the measurements of what can be assumed to be a rectangular prism, and we need to find the volume.

When finding volume of a rectangular prism, we need to multiply length by width by height.

So we know all of these,

L = 10in

W = 5in

H = 8in

V = LWH

Substitute :

V = (10)(5)(8)

Mutiply :

V = (50)(8)

Multiply :

V = 400in.

Answer:

the formula to find volume is length times width times height.

Step-by-step explanation:

10 times 5 = 50 then multiply 50 by 8 which equals 400. brainliest :0

The probability that a person cannot read is 0.85 what is the probability that 2 people selected at random will be unable to read

Answers

Answer: 0.7225

Step-by-step explanation:

Since the probability that a person cannot read is 0.85. The probability that 2 people selected at random will be unable to read will be gotten by multiplying the value of the probability given twice. This will be

= P(not read) × P(not read)

= 0.85 × 0.85

= 0.7225

Therefore, the probability that 2 people selected at random will be unable to read is 0.7225

how do you solve this?? please answer quick!!

Answers

Answer:

X is 10 Y is 6

Step-by-step explanation:

You deposit $800 in the bank and you earn 12% compounded weekly.

Answers

The Answer Is
300
Hope it help me
Im not that smart but I’m trying to help

Similar right triangles
Find the value of x.

Answers

x^2 = 9.4 = 36
x = 6
good luck
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