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
ollegr [7]
2 years ago
15

What’s the correct why to solve

Mathematics
1 answer:
Vaselesa [24]2 years ago
6 0

x^2-y^2=2\\ \underline{x^2+y^2=4}\\\\ 2x^2=6\\ x^2=3\\ x=-\sqrt3 \vee x=\sqrt3\\\\ 3+y^2=4\\ y^2=1\\ y=-1 \vee y=1\\\\ x\in\{(-\sqrt3,-1),(-\sqrt3,1),(\sqrt3,-1),(\sqrt3,1)\}

So, there are 4 solutions.

You might be interested in
Pls help no links if u can pls explain the steps I’ll be grateful
valkas [14]

Answer:

WX = 9

Step-by-step explanation:

WY is the entire line - this tells you that the length of the entire line is 11.

XY is a section of the line, and WX is the section you need to find the length for. Since it is given that XY is of length 2, we can find the length of WX by subtracting the length of XY from WY.

11 (WY) - 2 (XY) = 9.

8 0
2 years ago
A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall
Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : \mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7

Standard deviation : \sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}

=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}

=\dfrac{30.265}{10}=3.0265

The confidence interval for the population mean (for sample size <30) is given by :-

\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=t_{9,0.025}=2.262

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0
3 years ago
A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width
Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = 1\ m=100\ cm

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

Length=4x+5

Now we use the formula of  perimeter of rectangle,

Perimeter=2(Length+width)

On substituting the values, we get;

2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9

Now, we substitute the value of x to get the value of length;

Length=4x+5=4\times9+5=36+5=41\ cm

Thus, Width=9 cm    Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0
3 years ago
If ΔΡQR
frozen [14]

Answer:

If y varies directly as x^3 and y=36 when x=7, find y if x=4? (Round answer to the nearest hundredth) , find y if x=4 x = 4 . (Round off your answer to the nearest hundredth.)

Step-by-step explanation:

6 0
2 years ago
WILL GIVE BRAINLIEST! Simplify 350−−√+332−−√<br><br> Keep in simplified radical form.
Bess [88]

Answer:

350

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Graph the circle (x-8)^2 + (y+5)^2 = 4
    13·1 answer
  • The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minu
    6·1 answer
  • Perform the operation(s) and write the answer in simplest form.
    15·1 answer
  • Please help with #45
    13·1 answer
  • What’s the difference of a number and 7
    6·1 answer
  • four pencils and a ruler cost $1. six pencils and three rulers cost $2.10. find the cost of three pencils and thirteen rulers.​
    14·1 answer
  • 1) Jim took out a loan for $500. The rate is 8%. How much does Jim owe in interest if he pays it back in 4 1/2 years?
    11·1 answer
  • Find the circumference.<br> Use 3.14 for pi<br> r = 4 cm<br> C = [?] cm<br> C=pi d
    14·1 answer
  • Which point is a solution to the system of equations?<br> y = 2x + 2<br> Y = 3x
    12·1 answer
  • An example of a math pattern that ends with 3.28
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!