475 Words2 Pages

Launch Area:___(1, 2)___
Point A:___(0, 3)___
Point B:___(-3, 0)___
Point C:___(-1, -4)___
1. Graph the coordinates of the specifics points in space your spacecraft will travel to.
You must show your work on each question below.
2. Determine the equation of the line, in standard form, that will get your spacecraft from the Launch Area to Point A.
3. Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A to Point B.
4. Determine the equation of the line, in slope-intercept form, that will get your spacecraft from Point B to Point C.
5. Convert the equations you arrived at in question 2 and into slope-intercept form. Make sure to include all of your work.
6. Reflect back on this scenario and each equation you created. Would any restrictions apply to the domain and range of those equations? Explain your reasoning using complete sentences.
Answers:
1.)
2.) First, let’s find the slope from Launch Area to point A. m=y2-y1/x2-x1, m=2-3/1-0. This equals -1/1 or just -1. Now we can use point-slope form (y-y1) =m(x-x1).I will now use point A, (0,3) so it would look like this: y-(3)=-1(x-0)=(y-3=-1x+0)=(1x+y-3=0)=(x+y=3)So in standard form, the equation would be x+y=3.
3.) First, let’s find the slope from point A to point B. m=0-3/-3-0. This equals -3/-3, which reduces to positive 1. Now, we can use point-slope form. I will use point B and it would look like this: y-(0)=1(x-(-3)). So once it’s simplified in point-slope form, it would look like this: y-0=1(x+3).
4.) First, let’s find the slope from point B to point C. m=-4-0/-1-(-3). This equals -4/2, which reduces to -2. Now, we can use point-slope form and then rearrange it to make it into slope-intercept form. Since I’m using point C, it should look like this: y-(-4)=-2(x+1)=(y+4=-2x-2)=(y=-2x-6). So the answer in

Related

## Quadrilateral Alien Project

341 Words | 2 PagesShow how you determined the total height of your alien and include what units you used to measure. 1 point Slide 5: The total area of the alien must be given (find the area of each polygon and add all of the areas together – show all of your work). 3 points

## MAT 222: Intermediate Algebra

833 Words | 4 PagesThen, subtract 4 from 7. h4=3 3 When subtracting 4 from 7 the answer is 3. h4=3 3 Cancel out the common factors of 3 from the expression. h4=1 The final answer is 1. Simplifying the f function = f4=2(4)+5 Replace the variable x within the expression f4=2•4+5 Remove the parenthesis and multiply 2 by

## Algebra 2 Fall Exam Review Paper

2068 Words | 9 PagesSet up the matrix equation to solve this system. 2. Given the inequality y < x2 + 2x – 3, is the point (0, -3) part of the solution? Name a point that is part of the solution and one that is not. 3.

## Solving Proportions Paper

623 Words | 3 PagesThis means that this problem can be solved cross multiplying the extremes and means of the problem. y – 1/x +3 = -3/4 This is the problem that we were given to solve for y. First we multiply both sides by x+3 so we will have y-1(x+3) =-3/4(x+3) Then we simplify so we are left with y-1= -3/4x+3 Then we add 1 to both sides which gives us y-1(+1) = -3/4x+ 3(+1) Now we simplify again which us leaves

## Maths - Geometry

621 Words | 3 PagesGeometry and trigonometry Topic assessment 1. Describe fully the curve whose equation is [pic]. [2] 2. Show that the line y = 3x – 10 is a tangent to the circle [pic]. [4] 3.

## Space Flight Engineers

2102 Words | 9 PagesRead on to see examples of how calculus is used in astronomy. An Essential Element Calculus is the mathematical language that describes change. One of the most common uses of calculus is to find the rate at which the position of a moving body changes with time. The laws of planetary motion that are commonly used by astronomers to calculate orbits are derived using calculus. An astronomer who wants to send a rocket into space uses calculus to work out how much fuel the rocket needs to accelerate to the correct velocity.

## GPS Presentation Essay

2328 Words | 10 PagesThis time difference multiplied by the speed of light (300,000 km/sec) gives the distance. Exact coordinates can be calculated for any position on earth by measuring the distance from a group of satellites to the position. When the distance to one satellite is known, the position can be narrowed down to the surface of a sphere surrounding that

## Nt1310 Unit 8 Regression Analysis

1629 Words | 7 PagesWe can conclude that the data are Poisson distributed. Chi-Square test of independence Problem 12.12 Use the following contingency table to determine whether variable 1 is independent of variable 2. Let α = .01 | Variable 2 | Variable1 | 24 | 13 | 47 | 58 | | 93 | 59 | 187 | 244 | Step 1 Ho: the two classifications are independent Ha: the two classifications are dependent Step 2 d.f = (r – 1) (c – 1) Step 3 α = 0.01 x 2 0.01, 3df = 11.3449 Step 4 Reject Ho if x 2 > 11.3449 | Variable 2 | Total | Variable1 | 24 (22.92) | 13 (14.10) | 47 (45.83) | 58 (59.15) | 142 | | 93 (94.08) | 59 (57.90) | 187 (188.17) | 244 (242.85) | 583

## Mat 540 Test 4

1711 Words | 7 PagesConvert the given system to the matrix form: [pic][pic] = [pic] 2 marks ii. Form the augmented matrix: 2 3.5 3 : 1200 3 2.5 2 : 1150 2 marks 4 3 2 : 1400 If you are familiar with this stuff you can skip Steps 1 & 2. iii. Apply row operations to reduce the matrix to the upper triangular form: ( 2 3.5 3 1200 ( -1.5 -2 3 2.5 2 1150 ( ( 4 3 2 1400 ( ( -2.75 -2.5 -650 ( ( ( -4 -4 -1000 ( -0.6875 ( 0.25 37.5 12

## Gyroscope Technology

1303 Words | 6 PagesThe first principle states that if there is no force applied to the gyro, the spin axis of the gyro wheel tends to remain in a fixed direction in space. Precession is the tilting or turning of a gyro in response to a force. For instance, whenever a plane changes direction, small perpendicular force applied to gyro. As result of, the gyro will rotate 90 degrees ahead of that point of force. Gyroscope is being used in almost every vehicle especially in airplane’s instrument such as altitude indicator, heading indicator, and turn coordinator.

### Quadrilateral Alien Project

341 Words | 2 Pages### MAT 222: Intermediate Algebra

833 Words | 4 Pages### Algebra 2 Fall Exam Review Paper

2068 Words | 9 Pages### Solving Proportions Paper

623 Words | 3 Pages### Maths - Geometry

621 Words | 3 Pages### Space Flight Engineers

2102 Words | 9 Pages### GPS Presentation Essay

2328 Words | 10 Pages### Nt1310 Unit 8 Regression Analysis

1629 Words | 7 Pages### Mat 540 Test 4

1711 Words | 7 Pages### Gyroscope Technology

1303 Words | 6 Pages