11. An astronaut travels 32 million miles to Mars, turns around and comes back the same way, ending up exactly where he started his trip. What is his displacement?

Answer:

[tex]x = 28 {}^{o} [/tex]

Step-by-step explanation:

hopefully this helps you

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Answer: 28 degrees D

Step-by-step explanation: The whole angle is 90 and the other angle (not x) is 62 so 90 minus 62 is 28

Answer:

No

Step-by-step explanation:

If (x - 3) is a factor then x = 3 is a root and the polynomial will equal zero for x = 3 , that is

3³ - 3(3)² + 2(3) + 2

= 27 - 3(9) + 6 + 2

= 27 - 27 + 8

= 8

since the polynomial ≠ 0 for x = 3 then (x - 3) is not a factor

Based on given conditions,

[tex]a²b + 3 ab - (-5 a²b - 9 ab) [/tex]

[tex]→a²b + 3 ab + 5 a²b + 9 ab[/tex]

[tex]→(a²b + 5 a²b) + (3ab + 9 ab[/tex]

Now collecting the coefficients and adding them,

[tex](1 + 5)a²b + (3 + 9)ab[/tex]

[tex]→6 {a}^{2}b + 12ab[/tex]

Hence, the 6a²b + 12ab should be added.

Answer:

iron- 9.28 * 10-23

silver- 1.79 * 10-22

gold- 3.27 * 10-22

platinum- 3.25 * 10-22

uranium- 3.95 * 10-22

water- 2.99 * 10^-23

Answer:

They each get 8 cookies

Step-by-step explanation:

24 divided by 3 is 8. There are other ways if the question allows there to. be some cookies left over.

Answer:It is the product of the initial population and the growth factor after h hours.

Step-by-step explanation:

this for ttm/im

Answer:

y=0x-7 or y=-7

Step-by-step explanation:

Hi there!

We want to write the equation of the line that passes through the point (-6, -7), but that also has a slope of 0

There are many ways to write the equation of the line; one of the most common ways is to use slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope of this line, we can immediately plug it into the equation as m

So substitute 0 as m in the equation:
y=0*x+b

Multiply

y=0x+b

We can also rewrite it as y=b, but for right now, y=0x+b will be helpful for our calculations

We need to find b now.

As the equation passes through the point (-6, -7), we can use it to help solve for b

Substitute -6 as x and -7 as y:

-7=0(-6)+b

Multiply

-7=0+b

Simplify

-7=b

Substitute -7 as b into the equation.

y=0x-7, or y=-7

Hope this helps!

Take a look here for a similar problem for practice if you wish: https://brainly.com/question/25424204

Answer:

17400y2S-4w

Step-by-step explanation:

The equation of the line that is parallel to the given line and passes through the point (2, 3) is,

[tex]x+2y=8[/tex]

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

Given information-

The points through which the line passes is (2, 3).

The points of the line shown in the image attached below is (-4, 0) and (4, -4).

The slope of the line shown in the image which passes through the point (-4, 0) and (4, -4) is,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-4-0}{4-(-4)}\\m=\dfrac{-4}{8}\\m=\dfrac{-1}{2}[/tex]

As the line which passes through the point (2, 3) is parallel to the line shown below. Hence, the slope of it must be equal to that line.

Therefore the equation of the line which passes through the point (2, 3) and has a slope of -1/2, is,

[tex](y-y_1)=m(x-x_1)\\(y-3)=-\dfrac{1}{2}(x-2)\\2(y-3)=-x+2\\2y-6=-x+2\\x+2y=8[/tex]

Thus the equation of the line that is parallel to the given line and passes through the point (2, 3) is,

[tex]x+2y=8[/tex]

Hence, the option 2 is the correct option.

Learn more about the equation of line here;

https://brainly.com/question/13763238

Answer:

y = –4

Step-by-step explanation:

Answer:

4 is the coefficient of x

Answer:

x = 13°

Step-by-step explanation:

The left base angle of the triangle with x as the vertex is vertically opposite 85° and are congruent.

left base angle = 85°

the angle below the right base in the triangle is corresponding to 98° and are congruent.

right base angle = 180° - 98° = 82° ( adjacent angles on a straight line ) , then

x = 180° - (85 + 82)° = 180° - 167° = 13° ( sum of angles in a triangle )

Answer:

x = 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

sum of two interior angles is equal one exterior angle....this implies that,

6x + 15x-12 = 19x+2.....make X the subject

6x+15x-19x = 2+12

2x = 14..... divide both sides by 2

x = 7

this implies that, 19x + 2 where x is 7,

= 19(7) +2

=135°

therefore,<MNI = 135°

The angle MNI is 135 degree.

An angle is the figure formed when two rays cross at a common endpoint, according to the definition of angles.

The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is remote Interior Angle.

Sum of two interior angles is equal one exterior angle.

Here:

(6 x) + (15 x-12) = (19 x+2)

6 x + 15 x - 19 x = 2 + 12

6 x - 4 x = 14

2 x = 14, x =7

Putting the value of x in (19 x + 2).

19 * 7 + 2 = 133 + 2 = 135.

Therefore, the value of 19 x + 2 is 135 degree.

Learn more about angle here:

https://brainly.com/question/30341390

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Answer:

Simplifying the same denominators first:

16/5 - 13/5 = 3/5

So, we're brought down to:

3/5 + 30/7 + 3/2

35 goes into 5 and 7, so I'll simply 3/5 + 30/7 next -

7 x (3/5) to get 21/35

5 x (30/7) to get 150/35

Now add the two to get 171/35

(150+21=171)

Finally find a common denominator for 35 and 2.

(35x2=70)

2 x (171/35) --> 342/70

35 x (3/2) -->  105/70

Add up 342+105 to get 447 & put over 70.

Answer is 447/70

(It can't be simplified any further than this.)

Hope this helps!

Answer:

x = 15

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer:

I did this quickly, so please check the logic.

I find x = 15

Step-by-step explanation:

See attached image.  Note that I've defined 3 triangles and their Pythagorean equations.  I also define a third line, RQ, as z.  Rearrange the equations and substitute in a way that allows elimination of all variables except x.

Answer: The answer is BC=6 and EF=3

Step-by-step explanation: because BC =6 and EF=3 which will be 6/3 =2/1. so divide 6 by 3 to get 2 then anything divided by one gives itself 2=2. Then compare 2 and 2.

Check the picture below.

In essence, the two triangles made by the radii and the twin tangent lines are congruent by SSS or even for right-triangles congruence by LL.

Applying the tangents theorem, the arc measures are:

Arc EG = 140°

Arc EF = 120°

Arc FG = 100°

The tangents theorem states that a tangent to a circle forms a right angle (90 degrees) at the point of tangency, and also, if two tangents meet at point outside a circle, both tangents are equal.

Using the tangent theorem, we would find the central angles opposite arc EF, FG, and GE which are all the same measure as their central angles.

Let the center of the circle be point O.

m∠EOG = 2[180 - m∠PEG + m∠EOP)] (central angle opposite to arc EG)

Substitute

m∠EOG = 2[180 - 90 + 1/2(40)]

m∠EOG = 140°

Arc EG = m∠EOG = 140°

Arc EG = 140°

m∠EOF= 2[180 - m∠QFO + m∠FQO)] (central angle opposite to arc EF)

Substitute

m∠EOF = 2[180 - 90 + 1/2(60)]

m∠EOF = 120°

Arc EF = m∠EOF = 120°

Arc EF = 120°

m∠FOG = 2[180 - m∠RFO + m∠FRO)] (central angle opposite to arc FG)

Substitute

m∠FOG = 2[180 - 90 + 1/2(80)]

m∠FOG = 100°

Arc FG = m∠FOG = 140°

Arc FG = 100°

Therefore, applying the tangents theorem, the arc measures are:

Arc EG = 140°

Arc EF = 120°

Arc FG = 100°

Learn more about tangents theorem on:

https://brainly.com/question/9892082

Answer:

110

Step-by-step explanation:

Use the pythagorean theorem (a^2 + b^2 = c^2) to solve it. 66 is a and 88 is b. The distance between them is c.

Answer:

60.96

Step-by-step explanation:

127 times 0.48

Answer:

512

Solution:

so first you multiply 15 times 32 and get 480 than you add 32 and get 512.

Answer:

1/2 m

Step-by-step explanation:

It is because 4 = 4/1, 8 = 8/1 and 4/1 divided by 8/1 is also equal to 4/1 times by 1/8 which equals 4/8.

4/8 is simplified to make 1/2m

hope this helps mark brainliest

Answer:

C

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

[tex]\frac{x^2}{12}-\frac{y^2}{4}=1[/tex]

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

Formula for hyperbola with horizontal transverse axis centered at origin

Since we are given our directrices of [tex]x=\pm3[/tex] and foci of [tex](\pm4,0)[/tex], then we can set up the directrices equation to solve for [tex]a^2[/tex]:

[tex]x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2[/tex]

Now we can determine [tex]b^2[/tex] to complete our equation for the hyperbola:

[tex]a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4[/tex]

Therefore, our equation for our hyperbola is [tex]\frac{x^2}{12}-\frac{y^2}{4}=1[/tex]

Answer: all potential energy and no kinetic energy

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

24/8=3

16/8=2

24/16=3/2

3/2*10=15

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