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
Elena-2011 [213]
2 years ago
11

Help mathlook at pic​

Mathematics
1 answer:
Sloan [31]2 years ago
8 0

Answer: \Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Step-by-step explanation:

<u>Given the system of equation</u>

1)~y=-(x+2)^2+1

2)~y=2x+5

<u>Expand the parenthesis of the 1) equation</u>

y=-(x+2)^2+1

y=-(x^2+4x+4)+1

y=-x^2-4x-4+1

y=-x^2-4x-3

<u>Current System</u>

1)~y=-x^2-4x-3

2)~y=2x+5

<u>Substitute the y value of the 1) equation with the 2) equation</u>

2x+5=-x^2-4x-3

<u>Add ( x² + 4x + 3) on both sides</u>

2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)

2x+5+x^2+4x+3=0

<u>Combine like terms</u>

x^2+2x+4x+5+3=0

x^2+6x+8=0

<u>Factorize the quadratic equation</u>

(x+4)(x+2)=0

x=-4~\text{or}~x=-2

<u>Substitute the x values into one of the equations to find the y value</u>

y=2x+5

y=2(-4)+5=-8+5=-3

y=2(-2)+5=-4+5=1

<u>Therefore, the two solutions are:</u>

\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in
6 in<br> 5 in<br> 14 in<br> Area =
Hunter-Best [27]

Answer:

184

Step-by-step explanation:

2*(6*5+6*14+5*14)=184

3 0
3 years ago
Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into bot
DedPeter [7]

Answer:

X = 8, y = 8

Step-by-step explanation:

This question is an optimization problem. Two equations are going to be needed here

n = x+y

P = xy

Such that 64 = xy

When we divide through by x we get:

y = 64/x

So that n becomes:

n = x + 64/x

n = x+64x^-1

We take derivative

n' = 1-64x^-2

When n' = 0 then a min|max occurs

0 = 1-64x^-2

Such that:

64/x² = 1

Divide through by x²

64 = x²

x = √64

x = 8

Remember y = 64/x

So,

Y = 64/8

Y = 8.

X = 8, y = 8

Thank you!

3 0
2 years ago
Please help me asap
s2008m [1.1K]

Answer:howw??

Step-by-step explanation:

Umm how?

5 0
3 years ago
Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is _____.
Bond [772]

Answer:

d = 1.1 units

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 3, then they lie on a vertical line. The distance between the 2 points is the difference in the y- coordinates, that is

d = | 2.4 - 1.3 | = | 1.1 | = 1.1 units

7 0
2 years ago
Read 2 more answers
Charlie's art class is 5 hours long. How long is his class in minutes?
Gemiola [76]

Answer:

300 minutes

Step-by-step explanation:

60 minutes in an hour

5 hours

60x5 = 300

7 0
2 years ago
Read 2 more answers
Other questions:
  • A. None<br> B. One <br> C. Two<br> D. Three or more
    11·2 answers
  • How would you write 2x^2-7=11 in both quadratic property and square root property?
    15·1 answer
  • -3(8n - 5) - 2n = 8n - 21
    7·1 answer
  • 7-11 mini-mart started a promotion where you can buy a refillable 40 oz. Soda for a one-time price $6.00, then fill the cup for
    12·1 answer
  • please help asap!!!!!!!!!! Ashley and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of pla
    10·1 answer
  • Question is in the picture
    13·2 answers
  • HELP please im doing a test and it's due in 7 minutes
    15·1 answer
  • I need Help please!!!
    9·1 answer
  • The scatter plot shows the population P of a town (in thousands) t years after 2000. Which best linear equation to model the tow
    9·2 answers
  • What is the 185th digit of the following pattern 12345678910111213141516
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!