Find the equation of line a and line b.

HELP PLEASE

Answer:

C

Step-by-step explanation:

because the nearest is to ones tenth hundred thousand

Answer:

[tex]\huge\boxed{\bf\: \frac{1}{3}\rightarrow probability}[/tex]

Step-by-step explanation:

Given,

We are asked to find the probability of choosing a blue marble if they are randomly chosen. Then,

Probabilty of a blue marble

= Number of blue marbles / Total number of marbles

= 2/6

= 1/3

[tex]\rule{150pt}{2pt}[/tex]

To find the slope:

 ⇒ must know the slope's formula

    ⇒ [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

        ⇒ [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] are any points on the line

           ⇒ we use (-1,2) and (0,5) since they are the only points that we

                know that are on the line

Let's solve:

  [tex]Slope = \frac{5-2}{0--1} =\frac{3}{1}[/tex]

Slope is 3

Hope that helps!

Answer:

$1.50

Step-by-step explanation:

4(1.50 + 3x) = 24

4(1.50 + 3x)  = 24/4                                                                                                                

_________

1.50 + 3x = 6.  subtract by 1.50 from both sides.

3x = 4.50

3x/3 = 4.50

          ____

             3

x = 1.50

                                                                      hope this helps!

Answer:

—8, —5, —2, 1, 4

Step-by-step explanation:

Check out the attached photo

Answer:

Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.

Step-by-step explanation:

Step-by-step explanation:

16.

x = Xien's age

2 + x/2 = 11

x/2 = 9

x = 18

so, Xien is 18 years old.

17.

4x - 5 = 7

first dividing everything by 4 is not a mistake. I would have done it as second step simply to avoid dealing with the fractions. but it works either way.

so, his way :

4x/4 - 5/4 = 7/4

4x/4 = 12/4

x = 3

my way

4x - 5 = 7

4x = 12

x = 3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

If it passes through x, then let's find x when y = 0

[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]

So, required values of x are 3 and -2

Now, let's differentiate the equation to get slope slope for tangent ~

[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]

[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]

Now, plug in the values of x to find slopes of tangents

[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]

We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'

[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]

Now, write the equations of normals using point slope form :

Normal 1 : passing through (3 , 0), and slope = -1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]

[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]

and

Normal 2 : passing through (-2 , 0), and slope = 1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]

[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]

That's all for Aunty ~ hope it helps !

The surface area of the shape is 400 square yards

The formula for calculating the surface area of the shape is given as:

Surface area = Area of square + area of triangle

Surface area = (15 * 20) + (0.5 * 10 * 20)
Surface area = 300 + 100
Surface area = 400 square yards

Hence the surface area of the shape is 400 square yards

Learn more on surface area of figure here:

https://brainly.com/question/16302190

Answer:

A, D, E, F

Step-by-step explanation:

If you graph those four equations or plug in 0 as x, you would find that all of them are equal to -8

Answer:

x < - 2

Step-by-step explanation:

7 < 3 - 2x ( add 2x to both sides )

2x + 7 < 3 ( subtract 7 from both sides )

2x < - 4 ( divide both sides by 2 )

x < - 2

Answer:

see explanation

Step-by-step explanation:

the angles in a square are right .

the diagonals bisect the angles , then

∠ OKL = 45°

The diagonals are perpendicular to each other , then

∠ MOL = 90°

All sides are congruent , so

perimeter = 4 × NM = 4 × 8 = 32

Answer:

Perimeter: 32

measure of angle OKL: 45

measure of angle MOL: 90

Step-by-step explanation:

Things to remember:

- the side of the square are all equal

- vertical angles are congruent

 + ex. MON and KOL; MOL and NOK

- the entirety of the four angles in the center of the square equal 360 degrees

 + ex. MON + MOL + LOK + KON = 360 degrees

- corners of a square equal 90 degrees and since lines MK and LN cut the square in half we can assume that angles like OKL are also cut in half, making them 45 degrees

+ ex. angle NKL (90) = OKL (45) + OKN (45)

- The four triangles in the square are isosceles

If we have the angles of OML and MLO we can find MOL since the angles of a triangle equal 180

OML (45) + MLO (45) + MOL (x) = 180

90 + x = 180

x = 90

Answer:

B

Step-by-step explanation:

the tangent- chord angle XYZ is half the measure of its intercepted arc XY

∠ XYZ = [tex]\frac{1}{2}[/tex] × 94° = 47°

Answer:

I think that the correct answer would be B. 47 degrees

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

x=12

Step-by-step explanation:

The photo might help.

If anything is not understandable I'm here to help :)

Answer:

The third angle is 104

Step-by-step explanation:

their for first angle is x and second angle of a triangle is 52 more than the first angle x×52 and again The third angle is two times the first and x=52×2×= 104

Answer:

question5=B that is the answer

Answer:

$469887

Step-by-step explanation:

you should use compound interest formula which is

A=P(1+r/100) ^t

A = 242800 ( 1 + 0.045 ) ^ 15

when you punch this into a calculator you will get 469886.5771.....

when you round it off to a whole number the answer is $469887

Answer:

Air that is moving primarily in a horizontal direction.

Answer:

Wind is the movement of air horizontally.

Answer:

  caveat: your grader may expect <E, N> coordinates, reversed from these

  A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)

  B. resultant <N, E> = <-174.288, 377.052>

  C. resultant = 415.385∠115°

Step-by-step explanation:

The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.

The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...

  a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))

  a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant

__

Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...

  (North + i·East)

Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.

__

The airplane speed vector in <north, east> coordinates is ...

  400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>

Similarly, the wind speed vector is ...

  40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>

__

The sum of the vectors is found from the sum of their components:

  plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>

__

Converting this vector in linear form back to a magnitude and direction gives ...

  magnitude = √((-174.288)² +377.052²) = √172544.644542

  magnitude ≈ 415.385 . . . mph

  direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°

  direction ≈ 115°

_____

Additional comment

As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.

Answer:

8cm

Step-by-step explanation:

[tex]Here,\\\\Area(A)=64\pi cm^{2} \\Radius(r)=?\\\\As\:we\:have,\\\\\hookrightarrow Area=\pi r^{2} \\\\\hookrightarrow \frac{64\pi cm^{2} }{\pi } =r^{2} \\\hookrightarrow 64 cm^{2} =r^{2} \\\\\hookrightarrow \sqrt{64cm^{2} } =r\\\\\hookrightarrow 8cm=r\\\\\hookrightarrow r=8cm[/tex]

Answer:

[tex]\huge\boxed{\bf{radius_{circle} = 8cm}}[/tex]

Step-by-step explanation:

Given:-

To find:-

Ans:-

[tex]\sf \to Area_{circle} = \pi*r^2 [/tex]

[tex]\sf \to 64\cancel{\pi} cm^2 = \cancel{\pi}*r^2 [/tex]

[tex]\sf \to 64cm^2 = r^2 [/tex]

[tex]\sf \to r = \sqrt{64cm^2} [/tex]

[tex]\sf \to r = 8cm [/tex]

therefore [tex]\tt radius_{circle} [/tex] = 8cm

[tex]\: [/tex]

[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]

Answer:



These are the inequalities

A: [tex]W\geq -7[/tex]

B: [tex]W > -7[/tex]

C: [tex]W < -7[/tex]

D: [tex]W\leq -7[/tex]

I assume the "different" one is referring to the wording of the expression. B, C, and D are all similarly worded so I believe A is the "different" one.

The chords in the circle L are illustrations of intersecting chords

The lengths that are even numbers are FJ and GJ

The length AD is given as:

AD = 10

From the circle, we have:

AD = AH + HK + KD

Where:

AH = 3 and KD = 2

So, we have:

10 = 3 + HK + 2

Solve for HK

HK = 5 ---- odd length

Next, we calculate length FH using the following intersecting chord theorem

FH * HB = AH * HD

This gives

(FJ + 3) * 3 = 3 * (2 + 5)

Divide by 3

FJ + 3 = 7

Subtract both sides by 3

FJ = 4 --- even length

Next, we calculate length KE using the following intersecting chord theorem

KE * KC = KD * KA

This gives

KE * 3.2 = 2 * (5 + 3)

Evaluate the product

KE * 3.2 = 16

Divide by 3.2

KE = 5 --- odd length

Next, we calculate length GJ using the following intersecting chord theorem

GJ * JE = FJ * JB

This gives

GJ * 4.5 = 4 * (6 + 3)

Evaluate the product

GJ * 4.5 = 36

Divide by 4.5

GJ = 8 --- even length

Hence, the lengths that are even numbers are FJ and GJ

Read more about intersecting chords at:

https://brainly.com/question/15660011

To calculate the area of a parallelogram

 ⇒ we must know the formula

     ⇒ Area = base * height

What are we given:

Thus:

   Area = 3ft * 4ft = 12 [tex]ft^2[/tex]

Hope that helps!

The length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes

Local time refers to the time of a particular region. The term local refers that whoever is noticing the time and calling it local time means that the person is telling about the time of the place where they're currently staying.

For this case, we're provided that:

When its 8:00 a.m. Damascus it its 4:00 pm in Vladivostok, so the time in Vladivostok is 8 hours ahead of Damascus (or 16 hours behind).

Assuming its 8 hours ahead, as the plane departs from 10:45 am from Vladivostok, and lands in Damascus at 12:30 pm, so 12:30 pm + 8 hours gives 8:30 pm in Vladivostok.

So, the plane departed at 10:45 am of Vladivostok and lands at 8:30 pm in Vladivostok, so it took 9 hours and 45 minutes for his flight to go from Vladivostok to Damascus. (since difference between 8:30 pm and 10:30 am (from 10:30 am to 8:30 pm) is of 9 hours 45 minutes)

Thus, the length of the considered flight in terms of time is given by: Option C. 9 hours, 45 minutes

Learn more about timezones here:

https://brainly.com/question/4054255

Answer:

When it is 8:00 a.m. in Damascus, it is 4:00 p.m. in Vladivostok. If your plane departs from Vladivostok at 10:45 a.m. local time and lands in Damascus at 12:30 p.m. local time, how long was the flight?

a.   1 hour, 45 minutes

b.   5 hours, 45 minutes

c.   9 hours, 45 minutes<<< CORRECT

d.   13 hours, 45 minutes

Step-by-step explanation:

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