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
Alik [6]
3 years ago
9

Which system is equivalent to 3x squared - 4y squared = 25 over -6x squared -2y squared = 11

Mathematics
1 answer:
TEA [102]3 years ago
3 0
So we are given the following system:
3x^2-4y^2=25\\
-6x^2-2y^2=11\\\text{Multiply the second equation by -2:}\\12x^2+4y^2=-22\\\text{Add to the first equation we get:}\\15x^2=3
\text{ therefore }x=\pm \sqrt{ \frac{1}{5} }
Using the first equation again we get:
3x^2-4y^2=25\\
3x^2=4y^2+25\\
x^2= \frac{1}{3}(4y^2+25)\\x^2= \frac{1}{3}(4 \frac{1}{5} +25)\\= \frac{43}{5}\\x=\pm \sqrt{ \frac{43}{5} }
You might be interested in
Solve : 3 under root a/b​
Aleksandr [31]
Do you know the numbers a/b equals too
3 0
3 years ago
Hi. Please I need help with these questions.
ElenaW [278]

Answer:

Q 12 roots of the equation

2x^{2} -6+1=0 \\= (x-\frac{\sqrt{10} }{2})(x+\frac{\sqrt{10} }{2})\\

∝ = \frac{\sqrt{10} }{2}

β = -\frac{\sqrt{10} }{2}

no matter if u oppose the root

(i) 2(\frac{\sqrt{10} }{2})(-\frac{\sqrt{10} }{2} )^{2}+2(\frac{\sqrt{10} }{2} )^{2}(-\frac{\sqrt{10} }{2})+2(

(ii)((\frac{\sqrt{10} }{2})^{2} - 3 (\frac{\sqrt{10} }{2})(-\frac{\sqrt{10} }{2}) + ((-\frac{\sqrt{10} }{2})^{2}) = \frac{25}{2}

Q 13  roots of equation

4x^{2} -3x-4=0\\\alpha = -0.693\\\beta = 1.443

the roots of the second equation are

x1 = 1/3(-0.693) = -0.231

x2 = 1/3(1.443) = 0.481

the equation is

(x+0.231)(x-0.481)=0

x^{2}-\frac{1}{4} x-\frac{1}{9}

4 0
3 years ago
Write two numbers that multiple to the value on top & add the value on the bottom.
Tju [1.3M]

Answer:

23040

This is because math.

8 0
3 years ago
pls help - will give brainliest farmer is painting a new barn. He will need to calculate the surface area of the barn to purchas
Brut [27]

Answer:

m^2

Step-by-step explanation:

You only need the surface area, which means you will not use cubed (^3). But the surface area is two dimensions (length and width). SO you must use m^2.

6 0
3 years ago
Read 2 more answers
Vishal wants to burn at least 2,400 calories during his weekly workouts. He burns 400 calories per hour swimming and 600 calorie
maw [93]

Answer:

2 hours

Step-by-step explanation:

given that the calorie burn rates are:

swimming: 400 cal / hour

rollerblading: 600 cal / hour

If he swims for 3 hours, he will burn:

400 cal / hour x 3 hours

= 1200 cal

Since his goal is 2400 calories, the number of calories that he has left to burn after swimming is:

2400 - 1200

= 1200 calories.

Number of hours of rollerblading to burn 1200 calories

= 1200 calories ÷ 600 calories per hour

= 2 hours

8 0
3 years ago
Read 2 more answers
Other questions:
  • mags wants to know what the hottest hairstyle Trend in is in our town what is the best group to survey of to find this informati
    7·2 answers
  • Which graph represents the piecewise-defined function?
    8·1 answer
  • Match the formula to the correct figure.
    15·2 answers
  • What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?
    14·2 answers
  • Use the standard normal table to find P(z ≥ 1.06). Round to the nearest percent.
    6·1 answer
  • What is bigger 0.075 or 0.75 and why
    10·1 answer
  • Find the area and circumference of each circle.
    9·1 answer
  • What’s 17/5 as a decimal?
    10·2 answers
  • Help plz:))) I’ll mark u brainliest
    5·1 answer
  • In the diagram below, R is located at (24,0), N is located at (12,18), T is located at (12,6), and E is located at (18,15). Assu
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!