1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liraira [26]
2 years ago
12

Find a parametrization of the line through the points A(-3,6) and B(2,9).

Mathematics
1 answer:
choli [55]2 years ago
8 0

Answer:

Parametrization of the line:

  • x = -3 + 5t
  • y = 6 + 3t

Step-by-step explanation:

Given the points

  • A(-3, 6)
  • B(2, 9)

We already know some of the equation lines:

  • Point-slope form → y - y₁ = m (x - x₁)
  • Slope-intercept form → y = mx+b
  • Standard form → ax + by = c

But, in parametric mode, we separate the x and y coordinates and describe each of them change as a function of time.

Plotting the two points A(-3,6) and B(2,9) on a coordinate plane, we have to separate x and y coordinates and given each of them a separate equation.

We observe that when we get from A(-3, 6) to B(2,9), its x-coordinate changes or moves 5 points.

i.e. if we add 5 to -3, it becomes -3+5 = 2

In other words, x-coordinate starts at -3, and moving 5 units in time t, it becomes x = -3+5t

Thus, the x-coordinate becomes:

x = -3 + 5t

We also observe that when we get from A(-3, 6) to B(2,9), its y-coordinate changes or moves 3 points.

i.e. if we add 3 to 6, it becomes 3+6 = 9

In other words, y-coordinate starts at 6, and moving 3 units up in time t, it becomes y = 6 + 3t

Thus, the x-coordinate becomes:

y = 6 + 3t

Thus, parametrization of the line:

  • x = -3 + 5t
  • y = 6 + 3t
You might be interested in
3x41 using standard algorithm
MA_775_DIABLO [31]
41
X 4
=
164 that the answer using standard Algorithm
7 0
3 years ago
Ryan Katie and Mike are roommates. They need to pay an electric bill. The bill is $155.52 The billing cycle is from nov23-dec23.
rusak2 [61]

Answer: Step-by-step explanation:

if I am correct.. Katie is gonna be paying $77.76. Meanwhile, Mike and Ryan are paying $38.88

half of 155.52 = 77.76

half of 77.76 = 38.88

$77.76 + $33.88 + $38.88 = $155.52

7 0
2 years ago
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
tatuchka [14]

Answer:

The best estimate for the average rate of change is -2

Step-by-step explanation:

we know that

the average rate of change using the graph is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

f(a)=f(0)=0  

f(b)=f(4)=-8

a=0

b=4

Substitute

\frac{-8-0}{4-0}=-2

4 0
3 years ago
Read 2 more answers
What is the solution of the system? Use elimination. <br><br> 5x-6y=-32<br> 3x+6y=48
vampirchik [111]

Answer:

x=2 y=7

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

7 0
2 years ago
Read 2 more answers
URGENT!: Which best explains why these two figures are similar or not similar?
-BARSIC- [3]

Answer:

These two figures are similar because \frac{5}{3} equals \frac{15}{9}.

Step-by-step explanation:

The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.

For the smaller figure the ratio is \frac{5}{3}, and for the bigger figure the ratio is \frac{15}{9}. which upon simplification reduces to  \frac{5}{3}.

So we see that the ratios are equal. Thus the figures are similar.

7 0
3 years ago
Other questions:
  • Chase makes 2 gallons of soup for a dinner party. He serves 10 cups of soup to his guests. How many cups of soup will be have le
    15·2 answers
  • The midpoint of A (-4, 2) and B(8, 5) is
    10·2 answers
  • Mary sells fruit with four of her friends. If the earnings are divided evenly, how
    12·1 answer
  • Simon used these steps to solve an equation:
    15·2 answers
  • Help me please thanks you
    7·1 answer
  • The horizontal distance between two towers is 80 m. The angle of depression of the top of the first tower when seen from the top
    12·1 answer
  • Simplify: (−5x + 7) − (x2 − 3x + 2). Write your answer in standard form.
    11·1 answer
  • Alaska is -3 degrees, lowa is 5 degrees, Idaho is - 7 degrees, New York is 9 degrees, and
    13·1 answer
  • Can someone help me ?
    10·1 answer
  • Are the answers 200 cm and 1052 cm? Please help!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!