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
Mnenie [13.5K]
3 years ago
15

Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x

Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

x = 2-t and y = -5\cdot t +21

Step-by-step explanation:

Given that y = 5\cdot x + 11 and t = 2-x, the parametric equations are obtained by algebraic means:

1) t = 2-x Given

2) y = 5\cdot x +11 Given

3) y = 5\cdot (x\cdot 1)+11 Associative and modulative properties

4) y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11 Existence of multiplicative inverse/Commutative property

5) y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11 Associative property

6) y = -5\cdot (-x)+11  \frac{a}{-b} = -\frac{a}{b} / (-1)\cdot a = -a

7) y = -5\cdot (-x+0)+11 Modulative property

8) y = -5\cdot [-x + 2 + (-2)]+11 Existence of additive inverse

9) y = -5 \cdot [(2-x)+(-2)]+11 Associative and commutative properties

10) y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11 Distributive property

11) y = (-5)\cdot (2-x) +21 (-a)\cdot (-b) = a\cdot b

12) y = (-5)\cdot t +21 By 1)

13) y = -5\cdot t +21 (-a)\cdot b = -a \cdot b/Result

14) t+x = (2-x)+x Compatibility with addition

15) t +(-t) +x = (2-x)+x +(-t) Compatibility with addition

16) [t+(-t)]+x= 2 + [x+(-x)]+(-t) Associative property

17) 0+x = (2 + 0) +(-t) Associative property

18) x = 2-t Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is x = 2-t and y = -5\cdot t +21.

You might be interested in
In a given figure if o is the centre of circle and oabc is a parallelogram find the value of abc
ahrayia [7]

From the given information, we get the value of ABC = 120°.

<h3>How to estimate the value of ABC?</h3>

Given: In the figure, O exists the center of the circle and OABC exists as a parallelogram.

Now, the radius of the circle exists

OA = OB = OC

Opposite sides of a parallelogram are equal

AB = OC and OA = BC

In ∆OAB,

OA = OB = AB and,

In ∆OCB,

OC = OB = BC

Therefore, ∆OAB and ∆OCB exist in equilateral triangles.

All angles of an equilateral triangle are equivalent to 60°.

Hence, ∠ABC = ∠OBA + ∠OBC

∠ABC = 60° + 60°

∠ABC = 120°

Therefore, the value of ∠ABC = 120°.

To learn more about parallelogram refer to:

brainly.com/question/24291122

#SPJ9

6 0
2 years ago
Solve for B -(12 x 2) x (-6) = -12 x (2 x b)<br> A. -6<br> B. 6<br> C. -12<br> D. 12
myrzilka [38]

<u><em>Answer:</em></u>

<u><em>Option A</em></u>

<u><em>Step-by-step explanation:</em></u>

<u><em>-(12 x 2) x (-6) = -12 x (2 x b)</em></u>

<u><em>=> -24 x -6 = -12 x 2b</em></u>

<u><em>=> 144 = -24b</em></u>

<u><em>=> b = -6</em></u>

<u><em>Hoped this helped.</em></u>

5 0
2 years ago
PLEASE HELP ME IN MATH ITS URGENT
Alika [10]

Answer:

D

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Candy is on sell for $0.75 each. You have a coupon for $.25 off your total purchase. Write a function rule for the cost of n pie
enyata [817]

t(n)=.75n-.25

Term number x .75 subtract .25



6 0
3 years ago
Read 2 more answers
^2\left(\frac{d}{dx}\left(\frac{\partial }{\partial x}\left(\right)\right)\right)^'\frac{\partial }{\partial x}\left(\log _{ }\l
LenaWriter [7]

Answer:

ok what

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A number is chosen at random from 1 to 50. Find the probability of selecting divisors of 24
    11·1 answer
  • For a given input value rrrr, the function hhhh outputs a value qqqq to satisfy the following equation.
    7·1 answer
  • (08.06)
    7·1 answer
  • James estimated the total cost of groceries to be $50. The actual cost of the groceries is $65. What is the percent error? Round
    8·1 answer
  • What is 10,000 steps in feet
    9·2 answers
  • Find the volume <br><br> Help me please
    12·2 answers
  • Line
    9·1 answer
  • Which of the following is equal to 7 x 509?
    6·2 answers
  • The coordinates of the point that is a reflection of Y(-4,-2) across the x-axis are what. The coordinates of the point that is r
    12·1 answer
  • An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!