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
marin [14]
3 years ago
8

In the system shown below, what are the coordinates of the solution that lies in quadrant I?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

(4,3)

Step-by-step explanation:

solve the simultaneous equations

x²+y²=25.........................(i)

x-y²= -5.............................(ii) ⇒make y² the subject of the equation;

y²=x+5.................................(iii)

Substitute equation (iii) in (i)

x² + x+5 =25

x²+x=25-5

x²+x-20=0..........solve for the quadratic equation

x(x-4)+5(x-4)=0

(x-4)(x+5)=0

x-4=0

x=  4 or

x+5=0

x=  -5

finding value of y

if y²=x+5 then;

when x=4, y²=4+5=9⇒y=√9 = ±3...................y= ±3

when x= -5  , y²= -5+ 5=0............... y=0

Coordinates = (4,3) and (-5,0)

Coordinates that lie in the 1st quadrant is (4,3)

Arisa [49]3 years ago
4 0

Answer:

(4,3)

Step-by-step explanation:

Given

x^2+y^2=25

x-y^2=-5

In order to solve the equations, from equation 2 we get

-y^2= -5-x

y^2=5+x

Putting the value of y^2 in equation 1

x^2+5+x=25

x^2+5-25+x=0

x^2+x-20=0

x^2+5x-4x-20= 0

x(x+5)-4(x+5)=0

(x+5)(x-4)=0

So

x+5=0  x-4=0

x=-5   x=4

Now for x=-5

x^2+y^2=25

(-5)^2+y^2=25

25+y^2=25

y^2=25-25

y^2=0

so Y=0  

And for x = 4

x^2+y^2=25

(4)^2+y^2=25

16+y^2=25

y^2=25-16

y^2=9

y= ±3

So the solution to the system of equations is

(-5,0) , (4,3), (4,-3)

The only solution that belongs to first quadrant is (4,3)

You might be interested in
PLEASE HELP HEHE!
storchak [24]

Answer:

5%

Step-by-step explanation:

8 0
2 years ago
The system has
vladimir2022 [97]

Answer:

One solution

Step-by-step explanation:

In this graph, the two lines only intersect once, meaning there is only one solution. If they intersect twice, then there are two solutions. If the two lines are parallel, there are no solutions. If the lines are the same, there are an infinite amount of solutions.

7 0
2 years ago
The voting trends for 163 countries were studied. Malta was rated number 1, but was left off of Table 2-2 which is a random samp
Crazy boy [7]
I think the possible way that the percentage vote of a country is different to the next random sampling to the other data table is its population in each country. In the first table i think Malta has the edge to this table data and place in number 1 but to the other data table the country was left of. 
4 0
3 years ago
Hey please help me please help please
Airida [17]

1.

a) metres to centimetres :

multiply length by 100

b) metres to millimetres:

multiply length by 1000

c) kilograms to grams:

multiply the mass value by 1000

d) litres to millilitres :

multiply volume by 1000

2.

a) 3 m = 3× 100 = 300 cm

b) 28 cm = 28 × 10 = 280 mm

c) 2.4 km = 2.4 × 1000

= 24 × 10^-1 × 10^3

= 24 × 10^2 =2400 m

d) 485 mm =485 / 10

= 485 / 10 ^1

= 485 × 10 ^-1

= 48.5 cm

e) 35 cm = 35 / 100

= 35 /10^2

= 35 × 10 ^ -2

= 0.35 m

f) 2.4 m = 2.4 / 1000

= 24 × 10 ^-1 / 10^3

= 24 × 10^-1 × 10 ^-3

= 24 × 10 ^ -4

= 0.0024 km

g) 2495 mm = 2495 /1000

= 2495 /10^ 3

= 2495 × 10 ^-3

=2.495 m

4 0
3 years ago
HELP ME MATH ASAP PLEASEE
bulgar [2K]

Answer:

What is the question??

7 0
3 years ago
Other questions:
  • Find the quotient <br> #Algebra2
    13·2 answers
  • Look at this picture to help
    5·1 answer
  • it costs $13 for admission to an amusement park, plus $1.50 for each ride. if you have a total of $35.50 to spend, what is the g
    9·2 answers
  • Annette rode her bike 6.8 miles at a constant rate for 90 minutes. To find how fast she traveled, she solved the equation 6.8=x·
    12·2 answers
  • Distance between the points (-3,5) and (-1,-2)
    8·1 answer
  • Cheryl earns $7.58 per h. If her regular pay last week was $272.88, how many hours did she work?
    12·2 answers
  • Klarissa is baking a cake. The recipe calls for \large 1\frac{3}{4} cups of flour, and Klarissa wants to triple the recipe. How
    8·1 answer
  • Plz help with math homework
    11·2 answers
  • M&lt;1=146° Find m&lt;3 and explain how you know.
    14·1 answer
  • Half a number is subtracted from 7 results in 34
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!