A=(2,3) B=(4,5)
Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation

Answers

Answer 1

Answer:

[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]


Related Questions

Find the volume of each question in the picture:

Answers

Answer:

21.V=1746.1

22.V=1922.7

23.V=54.4

Step-by-step explanation:

V=h*w*l                V=pir^2*h

V=12*8*14 .           V=pi*4^2*8

V=1344 .               V=402.1

V1+V2=1344+402.1=1746.1

V=pi*r^2*h             V=2/3*pi*r^3

V=pi*6^2*13           V=2/3*pi*6^3

V=pi*36*13             V=2/3*pi*216

V=1470.3                V=452.4

V1+V2=1470.3+452.4=1922.7

V=1/3pi*r^2*h           V=1/3pi*r^2*h

V=1/3pi*2^2*6          V=1/3pi*2^2*7

V=8pi                       V=28/3pi

V=25.1 .                    V=29.3

V1+V2=25.1+29.3=54.4

Convert 22 days to weeks and days.
22 days=
Convert 454 minutes to hours and minutes.
454 minutes =
Convert 4 years and 4 months to months.
4 years and 4 months =
Convert 12 pounds and 13 ounces to ounces.
12 pounds and 13 ounces=

Answers

Answer:

22 days = 3 weeks and 1 day

454 minutes = 7 hours and 34 minutes

4 years and 4 months = 148 months

12 pounds and 13 ounces = 205 ounces

please what is the interquartile range ?

Answers

Answer:

3.

Step-by-step explanation:

15 - 12 = 3.

The ends of the box are the lower and upper quartiles.

The difference  upper - lower = the interquartile range.

Bob is saving up for a new phone. He has about $150 right now but she has a job and gets paid $15 an hour to babysit. If he works everyday for about a month, how much money should she have? Write an equation.

Answers

Current Balance: $150

Income rate: 15x

Equation: 15x+150

help i keep on getting answers that are not what I am looking for

Answers

10 is the correct answer

Please help me please

Answers

Answer:

Option D

Step-by-step explanation:

→ Simplify the option

3 × 3 × 2 × 2 = 36

→ Simplify the other part

3 × 2 × 2 = 12

Solve the equation x^2 - 16x+ 54 = 0 by completing the square.
Fill in the values of a and b to complete the solutions.

Answers

Answer:

[tex]x = 8\±\sqrt{10[/tex]

[tex]a =8[/tex]    [tex]b = 10[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 16x + 54 = 0[/tex]

Required

Complete the square

[tex]x^2 - 16x + 54 = 0[/tex]

Subtract 54 from both sides

[tex]x^2 - 16x + 54 -54= 0-54[/tex]

[tex]x^2 - 16x = -54[/tex]

--------------------------------------------------

Take half of - 16

[tex](-16/2) = -8[/tex]

Square the result

[tex](-8)^2 = 64[/tex]

Add the squared result to both sides of the equation

--------------------------------------------------

So, we have:

[tex]x^2 - 16x +64= -54+64[/tex]

[tex]x^2 - 16x +64= 10[/tex]

Expand

[tex]x^2 - 8x - 8x + 64 = 10[/tex]

Factorize

[tex]x(x - 8) - 8(x - 8) = 10[/tex]

Factor out x - 8

[tex](x - 8)(x - 8) = 10[/tex]

[tex](x - 8)^2 = 10[/tex]

Take square roots

[tex]x - 8 = \±\sqrt{10[/tex]

Solve for x

[tex]x = 8\±\sqrt{10[/tex]

We have:

[tex]x = a - \sqrt{b}[/tex]

[tex]x = a + \sqrt{b}[/tex]

By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]

Answer:

Step-by-step explanation:

Hello :D help pls? Thanks
What is the area of this partial circle if the radius is 8 inches long? Leave your answer in terms of pi.

Answers

Answer:201.06

Step-by-step explanation:

Identify the volume of a rectangular pyramid with length 16 m, width 12 m, and height 17 m.

Answers

Answer:

Correct Answer:  1088 m3

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is rectangular, the base of the pyramid is a rectangle.

Use the formula for the area of a rectangle to calculate the area of the base.

B = lw

Substitute 16 for l and 12 for w.

B = 16 ⋅ 12

Simplify.

B = 192 m2

To find the volume of the pyramid, use the formula for the volume of a pyramid.

V = 1/3 Bh

Substitute 192 for B and 17 for h.

V = 1/3 ⋅ 192 ⋅ 17

Simplify.

V = 1088 m3

Therefore, the volume of the rectangular pyramid is 1088 m3.

solve for x
logx(128)=7​

Answers

Answer:

x is 2

Step-by-step explanation:

50 POINTS. A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t)= -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. What domain makes sense for this function

Answers

Answer:

The domain that makes sense for this function is all values greater than or equal to 0.

Step-by-step explanation:

A ball is thrown into the air from a height of 4 feet at time t = 0. It is modeled by the function:

[tex]h(t)=-16t^2+64t+4[/tex]

The domain of the function is time t. The range of the function is the ball's height in the air h.

Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.

Therefore, the domain that makes sense for this function is all values greater than or equal to 0.

In interval notation, this is:

[tex][0, \infty)[/tex]

And as an inequality:

[tex]t\geq 0[/tex]

HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :)

Answers

The area of a parallelogram has the following formula: A=bh

Plug-in the given numbers.

Base=14cm

Height=13cm

A=bh

A=14 x 13

A=182

Therefore, the area of the figure is 182cm2

Answer:  182 square centimeters

Step-by-step explanation:

The formula for finding the area of a parrallelogram is A = bh.  If the top measurement is 14 cm, then the bottom measurement is also 14 cm.  The height is 13 cm.  

A = (14) (13)

A =  182 cm^2  

Given that f(x)=x^2+3x-28f(x)=x
2
+3x−28 and g(x)=x+7g(x)=x+7, find f(x)+g(x)f(x)+g(x) and express the result in standard form.

Answers

9514 1404 393

Answer:

  x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) + g(x)

  = (x^2 +3x -28) +(x +7)

  = x^2 +(3+1)x +(-28 +7)

  = x^2 +4x -21

Can someone please help me with this I will mark u brilliant

Answers

Answer:

80 is the median

The median is just the number in the middle and since 80 is in the middle the median is 80 hope that helps!

the answer is 80, hope this helps !

Find the area of the sector MAG in terms of Pi and approximate to the nearest hundredth

Answers

Answer:

Area of sector MAG = 35.2π unit² (Approx.)

Step-by-step explanation:

Given:

Diameter MP = 26 unit

ARC MG = ARC IP

∠GAI = 30°

Find:

Area of sector MAG

Computation:

Radius = Diameter MP / 2

Radius = 26 / 2

Radius = 13 units

∠MAG = ∠IAP

So,

∠MAG + ∠GAI + ∠IAP = 180

∠MAG + 30 + ∠MAG = 180

2∠MAG = 150

∠MAG = 75°

Area of sector = [θ/360][π][r]²

Area of sector MAG = [75/360][π][13]²

Area of sector MAG = [0.2083][π][169]

Area of sector MAG = 35.2π unit² (Approx.)

PLz help me plz plz I need thed answer plz

Answers

Answer:

[tex]-15\geq x\geq 5[/tex]

Step-by-step explanation:

X is between -15 and 5, the closed dots tell us we must include both -15 and 5 in the equation

2x^2 + 3x - 12, when x = 5

solve this and I'll give you brainliest.

Answers

403

2(5)^2 = 400 + 3(5) = 415 -12 = 403

The perimeter of a rectangle is 42 meters. The length of the rectangle is 3 meters less than twice the width. Find the length of the rectangle. *

Answers

Answer:

The length of the rectangle is 13m

URGENT!! PLS HELP 16 students are competing an art contest in how many different ways can students finish first second and third

Answers

In 48 ways I just did 16 times 3

A recipe calls for 21 scoops of sugar. each scoop is 2.5 oz. how many scoops do you need if each scoop holds 3.5 oz of sugar ?

Answers

Answer:

we need 6 scoops of sugar

estimate 38.6+4.3 to the nearest 10​

Answers

The awnser to the question is 40.0

Austin checks the temperature at 10:00 p.m. He notices if the temperature
falls by 5 more degrees, it will break the record-low temperature for that date,
which is 26 degrees.
If t = the temperature in degrees at 10:00 p.m., which mathematical sentence
expresses the information above?
O A. t-5 < 26
B. t+ 5 < 26
O C. -5 > 26
O D. t+5 > 26

Answers

Answer:

A. t - 5 < 26°

Step-by-step explanation:

Record low temperature for that date = 26°

Temperature at 10:00 PM = t

A fall in temperature by 5° = t - 5

Thus, this is said would mean the record low temperature would be breaking at this point, meaning the new temperature low recorded will be less than 26°.

In mathematical expression, this is expressed as;

t - 5 < 26°

(x+6)(x-4)=

(2x+5)(x-3)=

(3x+2)(2x+5)=

(2x-1)(x-5)=


please help this is multiplying polynomial expressions

Answers

Answer

1. x²+2x-24

2. 2x²-1x-15

3. 6x²+19x+10

4. 2x²-11x+5

Answer:

[tex]x^{2} +2x-24[/tex]

[tex]2x^{2}-x-15[/tex]

[tex]6x^{2}+19x+10[/tex]

[tex]2x^{2}-11x+5[/tex]

Step-by-step explanation:

A popular internet subscription service for movies, TV series, and documentaries conducts a survey in which it randomly samples 1,000 of its customers. The survey asks the customers which way they use their streaming service the most: (1) watching movies, (2) watching TV series, or (3) watching documentaries. They also ask the level of satisfaction with the service they most often use (on a scale of 0 to 10 with 0 very poor and 10 excellent). Is there statistical evidence for this internet subscription service that the mean satisfaction differs between customers who watch movies, TV series, or documentaries the most?
(a) State the hypothesis for conducting ANOVA. What were the assumptions on which the ANOVA was based?
(b) What F test statistic is needed to reject the null hypothesis at the signficance level 0.05?
(c) Suppose the test statistic is observed at F 0.46 and the p-value equals 0.63. State your conclusion in the context of this problem using the significance level .01.

Answers

b because if a popular internet subscription is 1000 it’s b

1+1=?,
Plz Helppp meeeeeeeeeeeeeeeeeee

Answers

Answer:

2 is teh answer

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Find the median of the set of data. 30, 16, 49, 25

Answers

Answer:

16,25,30,49

25+30=55

55÷2=27.5

Step-by-step explanation:

median means the middle value of any set of data so first arrange the data into ascending order.

16, 25, 30, 49

the data is even so we take both the middle value , add it and divide it with 2

25+30=55

55÷2=27.5

The measure of ZA is 18° greater than the measure of ZB. The two angles are complementary. Find the
measure of each angle.

Answers

Ok do I am answering this so I can finish school Srry

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

C) (-4,2)

Step-by-step explanation:

It would be in quadrant II, so (-4,2)

If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D. what is the perimeter of
A'B'CD?
A)
30 units
B)
60 units
90 units
D)
120 units

Answers

Answer is A 30 units

how many solutions does this graph have?

Answers

Answer:

one solution

Step-by-step explanation:

It will cross the x-axis one time

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