Determine whether the lines given by the vector equations r1=2i+3j+k+s(4i−k) and r2=2i+3j+k+t(2i+2j+k) intersect. If they intersect, give the coordinates of their point of intersection.

Answers

Answer 1

They do. the initial point is same in both lines.

formally,

[tex] \vec{r_1}=(2\hat i+3 \hat j+\hat k)+s(4\hat i-\hat k)[/tex]

$\vec{r_2}=(2\hat i +3 \hat j +\hat k)+t(2\hat i+2\hat j +\hat k)$

if they intersect then $\begin{vmatrix} 4 & 0 & -1 \\ 2 & 2 & 1 \\ (2-2) & (3-3) & (1-1) \end{vmatrix}=0$

(which obviously is zero)

Answer 2
Got the go back like Troy da.

Related Questions

Given quad overline{PQ}\perp\overline PQ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R: Solve for PQR and x. PLZ HELP

Answers

Answer: Khan Academy 2020! The answer is 40!

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

A circle has a radius of 26.85 inches. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box. the first choose dropdown has :0.25 and 4 then is the scale factor an enlargement or not THE TRIANGLE ON THE LEFT IS 1.5 AND THERE IS AN ARROW GOING INTO A BIGGER TRIANGLE THAT IS 6

Answers

Answer:

Step-by-step explanation:

Circumference of the circle = 2 x pi x r

= 2 x 3.14 x 26.85

= 168.618 Inches

after rounding to nearest tenth, 168.6 inches

Answer:

168.6 inches

Step-by-step explanation:

The formula for finding the circumference of a circle is:

[tex]\pi r2[/tex] (Basically multiplying [tex]\pi[/tex] by the diameter since the radius is half the diameter)

Let's substitute and solve!

3.14(26.85 × 2) =

3.14 × 53.7 =

168.61800............but if we round to the nearest tenth, it will be 168.6 inches!

Hope that helps and maybe earns a brainliest!

Have a great day!    >   <

                                   U

How would I answer this using a number line to find what the sum of
-2 + 2 =

Answers

Solution: in the picture

hope it helps^°^

IT EQUALS 0 CAUSE YOU GO BACK TWO THEN GO BACK UP TWO WHICH IS 0

Math Question (10 Points):

Answers

Answer:

x-axis

Step-by-step explanation:

Answer:

It is the x-axis

Step-by-step explanation:

In  a graph, the horizontal part of it is called the x axis.

Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates

The graph of f(x) = xx is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.

Answers

Answer:C and F are correct

Step-by-step explanation:

got it right on edge

Find the value of x.

Answers

Answer:

D. 15

Step-by-step explanation:

Both equations need the same end result because this is a square:

3x - 15 = 45 - x =

3x - 3x = 45 - x - 3x

0 = 45 - 4x

4x = 60

4x/4 = 60/4 =

X = 15

Check:

3(15) - 15 = 45 - 15

45 - 15 = 45 - 15

30 = 30

The value of x is d 15

22% of $900 = twenty two percent of $900 =

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

$198

▹ Step-by-Step Explanation

[tex]\frac{22}{100} * 900\\\\\frac{22}{1} * 9 = \frac{198}{1} \\\\= 198[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

198

Step-by-step explanation:

22% of 900

22% * 900

Change to decimal form

.22 * 900

198

plsssssss help me!!!!!!!!!!!!!!!!!!!!!!! it is recommended that for every 8 square feet of surface, a pond should have 2 fish. a pond that has a surface of 72 square feet should contain how many feet?

Answers

The answer is 18 feet
18 feet is the answer :)

Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°

Answers

Answer:

x=127°

Step-by-step explanation:First you have to solve for n and to do so you have to add the interior angles together and equal them to the remote exterior angle.

n+7+6n+22=197-5n

12n+29=197

12n=168

n-14

once you get n you have to plug it into 197-5n

197-5(14)

197-70

127

The required value of exterior angle  m∠x is 127.

From figure x is remote exterior angle m∠x=(197−5n)°. and y and z are interior angles m∠y=(6n+22)° and m∠z=(n+7)° respectively. value of x to be determine.

What are exterior angle?

Angle made at outer side of the corner is called exterior angles.

Here, by properties,  sum of the interior angle = remoter exterior angle
So,
m∠x = m∠y + m∠z
197−5n = 6n+22+n+7
168 = 12n
n = 14
put n in m∠x
m∠x=(197−5n)°
m∠x=(197−5*14)°
m∠x=(197−70)°
m∠x=127°

Thus, the required value of exterior angle  m∠x is 127.  

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The parallelogram shown below has an area of 120 units^2 . Find the missing height.

Answers

Answer:

Step-by-step explanation:

133

Please help ASAP!!!!!!!!

Answers

Answer:

Balance = $14,723.06

Step-by-step explanation:

Given:

Principal (P) = $15,000

Interest Rate (R) = 7.5%

Time (T) = ¹/12

Monthly payment = $185.49

Required:

Balance of the loan at the end of 3 months using the formula for simple interest.

SOLUTION:

[tex] I = \frac{P.T.R}{100*12} [/tex]

First Month:

Principal => $15,000

Add interest => [tex](\frac{15,000*7.5*1}{100*12} )[/tex] => $93.75

= $15,093.75

Less payment => $185.49

= $14,908.26

Second Month:

Principal => $14,908.26

Add interest => [tex](\frac{14,908.26*7.5*1}{100*12})[/tex] => $93.18

= $15,001.44

Less payment => $185.49

= $14,815.95

Third Month:

Principal => $14,815.95

Add interest => [tex](\frac{14,815.95*7.5*1}{100*12})[/tex] => $92.60

= $14,908.55

Less payment => $185.49

Balance = $14,723.06

Wow fascinating answer

Find the total cost, to the nearest cent, for a sweater that costs $22.95 with an additional 5.5% sales tax. Show your work.

Answers

Answer:

22.95×1.055≈$24.21

The answer is 24.21
22.95* 1.055= 24.21

Please someone help me

Answers

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

Shorter way
The answer is r= 0.046212737

PLZZ HELPP!! On Tony's map, the distance from Saint John, NB to St. John's, NL is 21 cm. The actual distance between these two cities is 1050km. What is the scale of Tony's map?

Answers

Answer:

1/5 000 000

Step-by-step explanation:

1050km is equal to 105 000 000cm

105 000 000 ÷ 21= 5 000 000

So the scale is 1/5 000 000.

1/5,000,000 just took this question.

A triangle has an area of 369.25 square inches. The height of the triangle is 42.2 inches. What is the length of the base of the triangle? A. 17.5 in. B. 35 in. C. 42.7 in. D. 56 in. Please include all work.

Answers

Answer:

A. 17.5 in.

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * (b * h), where h represents the height and b represents the base. We can solve from reverse using area/height = base*2

369.25/42.2 = 8.75

1/2base = 8.75

base = 8.75 * 2

base = 17.5

Answer:

369.25/42.2 = 8.75

1/2base = 8.75

base = 8.75 * 2

base = 17.5

hope I helped you

Choose the property of real numbers that justifies the equation! Photo of questions are below

Answers

Answer:

Multiplicative Identity Property,Associative Property of Addition,Commutative Property of Multiplication,Zero Property of Multiplication

Step-by-step explanation:

The required properties for the given expression of the real numbers are multiplication property, associative property,  commutative property, and property of zero multiplication.


Given that,

A number of expressions for the real number are given we have determined the corresponding properties for the arithmetic operation given.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
1.
n.1 = n
It is a unit multiplication property.

2.
(4 + b) + 7 = 4 + (b + 7)
it is associative property of real numbers.

3.
m.9 = 9.m
it is commutative property.

4.
0.c = 0
It is a property of zero multiplication.

Thus, the required properties for the given expression of the real numbers are multiplication property, associative property,  commutative property, and property of zero multiplication.


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A shipping container in the shape of a rectangular prism is 60 feet long, 45 1/2 feet wide, and 14 feet tall. What is the volume of the shipping container? A. 2,400 ft.^3 B. 2,730 ft.^3 C. 38.220 ft.^3 D. 76,440 ft.^3 Please include work!!

Answers

C. 38,200 ft^3

Why you ask? Good question, how you solve volume is l•w•h=v (length•width•height=volume) so it was 60•45.5•14=38,200

Hope this helps!

The answer is 38,220.
You multiply the width, height, and length.
Width= 45 1/2
Height= 14
Length= 60

45 1/2•14•60= 38,220

These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.

Answers

Answer:

33.3

Step-by-step explanation:

What is 3 divided by 2,127

Answers

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[tex]3\ \div \ 2127[/tex]

[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)

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If this helped you, could you maybe give brainliest..?

❀*May*❀

I think the answer is 709

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)

Answers

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

16, + infinity . Multiply sides by 1/9 n rages to infinity from 16.

Math Question (10 Points):

Answers

Answer:

A

Step-by-step explanation:

Becuase It expands the (2+4)8=2*8+8*4=6*8=48

Answer: Letter A.

Hope this helps! <3

WILL GIVE BRAINLY PLEASE HELP!!!!A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.
The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?
x2 – 99 = 0
x2 – 99x = 0
x2 + 5x + 104 = 0
x2 + 5x – 104 = 0

Answers

Answer: x2 + 5x – 104 = 0

Step-by-step explanation:

Distribute the x into the x + 5 to make it x2 + 5xSubtract 104 from the other side to set the equation equal to zeroFinal answer is x2 + 5x – 104 = 0

What is the length of AC

Answers

k = 84/7 = 12
(156 - x)/12 = x
12x = 156 - x
13x = 156
x = 12

AC = 156 - 12
AC = 144

Answer:

|AC| = 144

Step-by-step explanation:

The larger triangle (on the left) and the smaller one (on the right) are similar.

Therefore the following equation of ratios is correct:

  x               7

---------- = ---------

156 - x       84

Then 84x = 7(156) - 7x, or

         91x = 1092, or x = 12

Then the length of AC is 156 - x, or 144  

TELL ME THE FORMULA FOR VOLUME AND SURFACE AREA OF PRISMS

Answers

Answer:

surfacevolume = 1/2 (bh) l

surfacearea = bh + pl

So the answer is bh plus pl and I hopes this help good luck

PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

1. 4, 4, 6, 8

2. 5, 11, 3, 1

3. 11, 27, 111

4. [tex]16\sqrt{14}-31[/tex]

5. [tex]20\sqrt{2}-56[/tex]

Step-by-step explanation:

For the tables remember that after you solve any negative number will turn positive

For 4-5 just plug in what is in the parenthesis into x and solve

1. 4,4,6,8

2. 5,11,3,1

3. 11, 27, 111
__
4. 16\|14 -31
___
5. 20\|2 - 56

If you have a problem that has multiple variables, you can solve it using a
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp

Answers

Step-by-step explanation:

two times of a number added to 18 gives 70

what is value of X.

2x + 18 = 70

2x = 52

X = 26 is answer

can u talk to me in comment section

The system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].

A variety of problems can be solved using the system of equations.

Consider a simple problem of purchasing notebooks and pens from the market.

You bought some pens at $2 per pen and some notebooks at $4 per notebook from the market. At the end of shopping, you have spent $40 and you got 15 objects in your bag.

Write the given situation in the form of equations.

Let x be the number of pens bought and y be the number of notebooks bought.

So, the equations can be made as,

[tex]x+y=15\\2x+4y=40[/tex]

Therefore, the system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].

For more details, refer to the link:

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Find the measure of a A. 44 B. 88 C. 46 D. 90

Answers

Answer: Choice A. 44

====================================================

Explanation:

Since we have a circle, the segments extending from the center outward to the edge of the circle are radius segments. Any two radii of the same circle are the same length. The triangle on the left with the 92 degree angle is isosceles. Any isosceles triangle has exactly two side lengths that are the same, which leads to the base angles being the same as well.

For the triangle on the left with angles a,b,92, the base angles are 'a' and 'b'. So a = b.

For any triangle, the angles add to 180

a+b+92 = 180

a+a+92 = 180 ... Replace b with 'a'

2a+92 = 180

2a = 180-92

2a = 88

a = 88/2

a = 44

angle b is also 44 as well

a+b+92 = 44+44+92 = 180

Answer for this question is A. 44

i’ll mark you brainliest, please show work!! i’ll also give more points

Answers

Answer:

414

Step-by-step explanation

80+10hrs=230

23bacteria:1hr

414bacteria:18hrs

The answer is 414 I’m pretty sure

Plzz help I’ll mark brainliest

Answers

Answer:

c

Step-by-step explanation:

the correct answer is c

plz mark me brainliest

Help me ASAP for this picture

Answers

Answer: 12
Solution: Multiple 16 by 3/4.
the answer would be

12
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In which mountain range can you find Rich Mountain the highest peak in Oklahoma Region? A. the Ouachita Mountains B. the Ozark Mountains C. the Wichita Mountains D. the Arbuckle Mountains Tony owns a shop that sells mobile phones and laptops. The retail price of a mobile phone is $240, and it will include a sales tax of 15% on the retail price. If the shop owner offers a discount of $46 off the final price including the sales tax, what is the percent decrease for the price of the mobile phone? A 20% B 15% C 19.17% D 16.67% From a static hot air balloon, a 10kg projectile is launched at a speed of 10m / s upwards. If the balloon has a mass of 90kg. What is the final velocity of the latter? Select one: a. 0.57m / s down b. 2.56m / s down c. 1.11m / s down d. 2.03m / s down e. 3.15m / s down Consider the following calling sequences and assuming that dynamic scoping is used, what variables are visible during execution of the last function called? 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The emergence of movements for equality, a well-organized political activist youth culture, and a counterculture that rebelled against established norms in society are all factors that highlight this change. Is there a single person or event you think exemplifies the changing US society of the 1960s and 1970s? Explain your choice and why you chose it. Or, explain why you think no single person or event exemplifies this period. Then, name an event that you think illustrates the changing perceptions of authority within the United States in the 1960s and 1970s and explain your reasoning. No Response(s) Be the first to respond to the Discussion topic! Identify effective decision making techniques? The total factory overhead for Bardot Marine Company is budgeted for the year at $367,500. Bardot Marine manufactures two types of boats: speed boats and bass boats. The speedboat and bass boat each require three direct labor hours for manufacture. Each product is budgeted for 5,000 units of production for the year.When required, round all per unit answers to the nearest cent.A. Determine the total number of budgeted direct labor hours for the year in each department.Fabrication direct labor hoursAssembly direct labor hoursB. Determine the departmental factory overhead rates for both departments.Fabrication $ per dlhAssembly $ per dlhC. Determine the factory overhead allocated per unit for each product using the department factory overhead allocation rates.Speedboat: $ per unitBass boat: $ per unit A rectangular prism has a volume of 285.6. cubic feet. The prism is 12 feet long and 3.4 feet wide. What is the height of the prism? A. 7 ft B. 15 ft C. 19 ft D. 22 ft Please include all work!! 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If these are the only two adjustments required to convert net income to net cash provided by operating activities, the combined effect will be a(n):