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
Korvikt [17]
3 years ago
10

Solve the following system. (Use (x,y) format in a single answer space.)

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
5 0

Answer:

(3;4); (-3;-4); (3;-4); (-3;4)

Step-by-step explanation:

for more information see the attached picture.

Mkey [24]3 years ago
5 0

Answer:  The required solution set is

(x, y) = (3, 4), (-3, 4), (3, -4) and (-3, -4).

Step-by-step explanation:  We are given to solve the following system :

x^2+y^2=25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y^2-x^2=7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

We will be using the method of Elimination to solve the problem.

Adding equations (i) and (ii), we have

(x^2+y^2)+(y^2-x^2)=25+7\\\\\Rightarrow 2y^2=32\\\\\Rightarrow y^2=16\\\\\Rightarrow y=\pm\sqrt{16}~~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow y=\pm4.

From equation (ii), we get

(\pm4)^2-x^2=7\\\\\Rightarrow 16-x^2=7\\\\\Rightarrow x^2=16-7\\\\\Rightarrow x^2=9\\\\\Rightarrow x=\pm\sqrt9~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=\pm3.

Thus, the required solution set is

(x, y) = (3, 4), (-3, 4), (3, -4) and (-3, -4).

You might be interested in
If one postage stamp costs $0.85, how<br> much does a book of 25 stamps cost?
aniked [119]

Answer: $21.25

Step-by-step explanation:

0.85 x 25

5 0
3 years ago
Read 2 more answers
If a vertical line passes through a graph only once the relation is considered to be a function. True or false?
kotykmax [81]
This is True -----------
6 0
3 years ago
Read 2 more answers
A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation
Rzqust [24]

Answer:  0.6065

Step-by-step explanation:

Given : The machine's output is normally distributed with

\mu=27\text{ ounces per cup}

\sigma=3\text{ ounces per cup}

Let x be the random variable that represents the output of machine .

z-score : z=\dfrac{x-\mu}{\sigma}

For x= 21 ounces

z=\dfrac{21-27}{3}\approx-2

For x= 28 ounces

z=\dfrac{28-27}{3}\approx0.33

Using the standard normal distribution table , we have

The p-value : P(21

P(z

Hence, the probability of filling a cup between 21 and 28 ounces=  0.6065

8 0
3 years ago
That are equal to 4⋅10-3:
kozerog [31]
Answer: 37

Explanation:

Order of operations says you do multiplication first, you get 4 • 10 = 40

Then do subtraction, so 40 - 3 = 37

Hope this helps!
7 0
3 years ago
Math help pls!!<br> i have no clue how to do this
REY [17]

Answer:

I THINK it's A

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Find an integer x such that 37x $\equiv$ 1 (mod 101).}
    5·1 answer
  • Is y = 3x² + 2 a function or not?
    5·2 answers
  • If you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two ye
    8·1 answer
  • Y=0.27x constant of proportionality
    7·1 answer
  • HELP ME, I need to get the value of the numbers
    6·2 answers
  • Help the stupid kid plz. its liner slop formula
    13·2 answers
  • I need help on this one
    9·1 answer
  • The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 de
    10·1 answer
  • Evaluate 32 + (5 − 2) ⋅ 4 − 6 over 3
    13·2 answers
  • Plsss I need help
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!