The graph shows two lines, A and
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)

Answer:x+8, y-7

Step-by-step explanation:

[tex]x^2+y^2=r^2~\hfill x=rcos(\theta )~\hfill y=rsin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ r=3sin(A)\implies \stackrel{\textit{multiplying both sides by "r"}}{r^2~~ = ~~3~rsin(A)}\implies x^2+y^2=3y[/tex]

r = 3sinA is written in rectangular form as[tex]x^2+y^2 = 3y.[/tex]

Any complex number z = a + ib can be written in polar form as:

[tex]z = r(\cos(\theta) + i\sin(\theta))[/tex]

Complex numbers are those numbers that contain the imaginary and the real part.

Raising this to nth power (n being an integer), we get:

[tex]z ^n = r^n (\cos(n\theta) + i\sin(n\theta))[/tex]

We need to find r = 3sinA is written in rectangular form as[tex]x^2+y^2[/tex].

We know that

x = r cosA

y = r sin A

We have been given ;

r = 3sinA

Multiply by r on both sides;

[tex]r^2 = 3r sin A\\\\r^2 = 3 y[/tex]

therefore,

[tex]x^2+y^2 = 3y[/tex]

Hence, r = 3sinA is written in rectangular form as [tex]x^2+y^2 = 3y[/tex].

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Answer:

x = 41

Step-by-step explanation:

x = 180 - 97 - 42

x = 41

Sum of the triangle = 180

I hope my answer helps you.

Answer:

x° = 41°

Step-by-step explanation:

x° = (180-42- 97)° = 41°

Hope this helps

Unit rate in this case denotes to distance traveled in miles per hour.Indirectly it denotes to speed

#Car A

#Car B

As we can observe

car A is traveling faster

Answer:

D. $30

Step-by-step explanation:

All you have to do is multiply 15 by 2 and you'll get 30.

Answer:

Below in bold.

Step-by-step explanation:

z = 87 degrees ( vertical angles)

9x - 87 = 180 - z   ( adjacent angles are supplementary)

9x - 87 = 180 - 87  

9x = 180

x = 20 degrees.

Answer:

c-21cm

Step-by-step explanation:

21 is the biggest one(unless the options are the diameters..it wouldstill be option c though)

Answer:

C, D, E

Step-by-step explanation:

15 * .15 = 2.25

50 * .05=  2.5

100 * .10= 10

100 * .05= 5

200 * .03= 6

Answer:

A rational number is a number that can be expressed as a fraction of two integers.

if  x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².

Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.

[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]

[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]

Hence,

[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.

Answer:

100

Step-by-step explanation:

Range = highest - lowest (R = H - L)

In order, the set is 0, 20, 40, 76, 90, 100

100-0 = 100

Answer:

100

Step-by-step explanation:

Range = Highest value -lowest value

100-0=100

Answer:

20% chance of getting the right answer

Step-by-step explanation:

he has a 1/5 chance, translated into 20 percent

Answer:

-2

Step-by-step explanation:

Apply the rule for this:

a - (- b) = a + b

Thus, we have:

-14 - (-12) = -14 + 12

Add the number:

Since there are more negative than positive the final solution is negative

Hence, now 14 - 12 = 2

Now bring the negative down:

-2

Therefore, the answer is -2

Kavinsky

When there are two minuses beside each other

⇒ we can equate them as a '+'

   so:

       -14 - (-12) = -14 + 12 = -2 or Choice (B)

Hope that helps!

Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot.

A geometric figure can be defined as the forms of different dimensional objects that are formed through a combination of lines, planes or points.

In Geometry, the following terminologies and definitions are used to describe a geometric figure:

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Answer:

5/24

Step-by-step explanation:

Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.

5/8 · 1/3

Hope that helps!

Answer:

I'm pretty sure the answer is 6½

Area of the yellow sector is 58.91 cm2

The spinner has a circular shape and would be solved as a circle.

Area of a circle = pi r^2

= 3.142 * 5^2

= 78.55 cm2

The circle is divided into 8

78.55 / 8 = 9.8188

Area of 6 parts = 6 * 9.8188
= 58.9128 cm2

Answer:

im thinking that is 3/74 because i count them

Step-by-step explanation:

3/74 rhe answer but 3/77 are wrong he just thinking

Answer:

3 over 77, 3/77

Step-by-step explanation:

You add up all of the marbles. (including the blue ones)

30+28+13+6 = 77.

So. You have a 3/77 chance of pulling a blue marble.

Answer:

13cm

Step-by-step explanation:

In this case you have to use the Pythagorean theorem.

cy = 24/2

cy=12 cm ( a perpendicular drawn to a chord from the center bisects the chord..

ac=5 cm (given)

now,

ay^2= 25cm + 144 cm

ay^2 = 169 cm

√169 = 13 cm

Answer:

13 cm

Step-by-step explanation:

Since AC is perpendicular to XY , and XA and AY are both radii of the same circle, you can say that AC is a perpendicular bisector.

From there, we can say that XC is 1/2 of 24 cm, or 12 cm.

We can then form triangle ACX use the Pythagorean theorem to find the length of AX.

The square root of 12^2 + 5^2 is 13.

Therefore, the radius of the circle is 13 cm

Answer:

-1.8 kJ

Step-by-step explanation:

Given

Solving

Answer:

2250 J

Step-by-step explanation:

Work done is given by the formula :

work done = force × distance

Substituting values given gives us:

Work done = 45 × 40

Work done = 2250 J

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees

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Let's see

#1

#2

The direction will be resultant

Now

Answer:

n≈9

n=9.015625

Step-by-step explanation:

64(n+2)=141(5)

Break up the parenthesis.

64n+128=705

Subtract 128 from both sides.
64n=577

Divide 64 from both sides.

577/64

Then you get your answer.

n≈9

The coordinates of the vertices A'B'C when ABC is dilated by a scale factor of 1/6 are 1/6(x,y)

The rule of transformation is given as:

Dilation by a scale factor of 1/6

Mathematically, this is represented as:

(x,y) => 1/6(x,y)

This means that the coordinates of the vertices ABC are multiplied by 1/6 to get the coordinates of the vertices A'B'C

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Answer:

Step-by-step explanation:

2x+y

=2(2)+1

=4+1

=5

Answer:

5

Step-by-step explanation:

Sub x=2, y = 1

2(x) + y = 5

2(2) + 1 = 5

Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:

b. 0.39.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

As for the other parameters, we have that [tex]\sigma = 1.8, n = 81[/tex].

Hence, the margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{1.8}{\sqrt{81}}[/tex]

[tex]M = 0.39[/tex]

Hence option b is correct.

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Using linear functions, it is found that the two plans will donate the same amount for 4 miles.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the functions for the amount donated with n miles are given by:

They will donate the same amount for n miles as such:

f1(n) = f2(n).

10 + 0.5n = 4 + 2n.

1.5n = 6

n = 6/1.5

n = 4.

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Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.

In a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.

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