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
ss7ja [257]
3 years ago
9

Solve the system (x-1)²+(y-2)²=2² and y=2x+2.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

 (x -1)² +((2x +2) -2)² = 4

  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

  (5x +3)(x -1) = 0

The values of x that make these factors zero are ...

  x = -3/5, x = 1

The corresponding values of y are ...

  y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

  y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

You might be interested in
Jonah flipped a coin 10 times. He flipped heads 3 times and tails 7 times. What is the experimental probability that Jonah will
steposvetlana [31]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 3/10 = 0.3

The experimental probability would be 0.3

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0
3 years ago
13. What is a simpler form of each product?
saul85 [17]
13. (a-b)^2=a^2-2ab+b^2
   B is the answer
14. B is the answer
     ( x+9)(x-3)= x^2+6x-27
15. B is the answer
    (x+6)(x-5)=x^2+x-30
16. D is the answer
  (x-6y)(x-4y)=x^2-10xy+24y^2
17. C is the answer
(2x+5)(3x-4)=6x^2+7x-20
18. B is the answer
(5x+7)(x-2)=5x^2-3x-14

7 0
3 years ago
A bag contains 7 red marbles, 8 blue marbles and 4 green marbles. If three marbles
labwork [276]

Answer:

answers is 19cscscsvss

6 0
3 years ago
20. A ball is dropped from a height of a little over 5 feet, and the height is measured at small intervals. The table below show
nekit [7.7K]

Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

P(t)=-15.64t^2\text{ - 1.24t + 5.2}3

b) t = 0.30

\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}

c) t = 0.52 seconds

\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}

d) 0.30 is more likely to be relaible.

e)

\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}

5 0
1 year ago
Four decreased by the product of a number and 7 is equal to 11
Nana76 [90]

Answer:

See image below:)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the coordinates of the midpoint of the segment with the given endpoint S(-1,5) and T(7, -2)
    6·1 answer
  • Activating prior knowledge what is a factor
    13·1 answer
  • the relative frequency of a drawing pin falling pin up is 3/8. How many times would you expect it to fall pin up in 400 drops?
    11·1 answer
  • Pleas help me Solve- 8/0.5 ​
    6·2 answers
  • Please help! Triangle ABC is similar to triangle DEF. m
    5·1 answer
  • The picture below shows a box sliding down a ramp: A right triangle ABC has measure of angle ABC equal to 90 degrees and measure
    14·2 answers
  • Help! <br> serious answers only please!!!
    11·2 answers
  • Help me get the anwser to this Equation
    5·1 answer
  • 8. Define transversal lines.
    9·1 answer
  • Nick walked 5 miles to reach his aunt's house. From there he traveled 8 miles to the shopping mall on a bicycle. He traveled 80%
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!