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
storchak [24]
2 years ago
11

How can I do substitution method in Algebra 2? The equations are y= x^2-2x-3 and y=x^2+5x+11

Mathematics
1 answer:
Nikitich [7]2 years ago
7 0

\bf \begin{cases} \boxed{y} = x^2-2x-3\\ y = x^2+5x+11 \end{cases}\qquad\qquad \stackrel{\textit{substituting on the 2nd equation}}{\boxed{x^2-2x-3} = x^2+5x+11} \\\\\\ ~~\begin{matrix} x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ -2x-3= ~~\begin{matrix} x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +5x+11\implies -2x-3=5x+11\implies -3=7x+11 \\\\\\ -14=7x\implies \cfrac{-14}{7}=x\implies \blacktriangleright -2=x \blacktriangleleft

\bf \stackrel{\textit{since we know that }y = x^2-2x-3}{y=(-2)^2-2(-2)-3} \implies y = 4+4-3\implies \blacktriangleright y = 5 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-2,5)~\hfill

You might be interested in
WHAT IS 1+1 WILL GIVE BRAINLIEST
cupoosta [38]

Answer:

2

Step-by-step explanation:

when you add 1 to 1, it equals 2

3 0
3 years ago
Read 2 more answers
A convenience store sells two brands of orange juice Brand A contains 11 fluid once and costs
Anna35 [415]

Answer:

$0.03

Step-by-step explanation:

2.31/11 =.21

2.70/15 =.18

.21-.18 = .03

6 0
1 year ago
Mr. Morgan ingested $20,000 dollars in an account earning 4.5% annual interest. How many years would it take for him to earn $5,
satela [25.4K]

Answer:

6

Step-by-step explanation:

7 0
2 years ago
What is another way to express 12/12
Readme [11.4K]
The answer is 6/6 so does that help you today and it can also be one whole
3 0
2 years ago
Read 2 more answers
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
2 years ago
Other questions:
  • Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
    15·1 answer
  • The set of real numbers that are greater than negative five
    6·1 answer
  • Help me please
    14·1 answer
  • What is the degree of one and a half full turns
    11·1 answer
  • -11=-7/y<br><br> PLSSSS HELPPP
    5·1 answer
  • The distance between(-12,-9) and (12,-9)
    5·2 answers
  • A 28 foot ladder leans up against a building and reaches the base of a window that is 20 feet high. How far is the base of the l
    11·1 answer
  • The prices for different prices at a grocery store are shown in the table below which of the following spices has the least pric
    7·1 answer
  • PLZ HELP WILL GIVE BRAINLIEST
    15·1 answer
  • Rounding number to the nearest hundredth
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!