Answers
Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :
Line 1:
(3x² - 5y²) * 2 = 22 * 2
6x² - 10y² = 44
We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.
Line 2:
(2x² + 4y²)*3 = 22*3
6x² + 12y² = 66
We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.
Solving your system of equations is exactly the same thing as solving this new system of equation :
6x² - 10y² = 44
6x² + 12y² = 66
It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :
L1 - L2 :
(6x² - 10y²) - (6x² + 12y²) = 44 - 66
6x² - 10y² - 6x² - 12y² = - 22
- 22y² = - 22
y² = 1
y = + 1 or y = - 1
We know have the value of y, we just have to replace it in the equation to solve the entire system :)
3x² - 5y² = 22
since y² will always be equal to one, wether y = 1 or y = - 1, we can write :
3x² - 5 = 22
3x² = 22 + 5
3x² = 27
x² = 27/3
x² = 9
x = + 3 or x = - 3
So the solutions are the following couples in the form (x,y) :
S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))
Good Luck
Related Questions
There are about 0.15 million people in Barrie, Ontario,
and 0.4 million people in London, Ontario.
a) How many more people live in London than Barrie?
b) How many times as many people live in London as in Barrie?
no links.
Answers
Answer:
a)0.11
b) 3.75
Step-by-step explanation:
a) take 4 away from 15
B) do 15 divided by 4
hope this helps bye if right mark brainlest PLEASE
a
Russ worked a total of 135 hours during the month of July. He earned $3,600.
Russ earned $25 per hour each weekday that he worked. He earned $40 per hour
each Saturday that he worked. How many hours did he work on the weekend?
Answers
Answer:
3375
Step-by-step explanation:
IF F(x) is ax + x² – 152-18
as show that F(3)=0
(
b) Find the factors of F(x).
Answers
[tex]x = 3[/tex]
[tex]a(3) \: + \: 3 {}^{2} - 152 - 18[/tex]
[tex]3a \: + \: 9 \: - 134[/tex]
[tex]3a \: - 134 + 9[/tex]
[tex]3a - 143[/tex]
Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!A stadium has fixed expenses of $20,000 per event. Last month it put on three big events and spent $50,000, $35,000, and 40,000 in advertising for them respectively. These events ended up earning a total of $500,000 in revenue. What was the stadium's profit margin last month?
Answers
Answer:
315,000
Step-by-step explanation:
(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000
500,000-185,000=315,000
Simplify this thing (4h^2/3)^3
Answers
Answer:
64h^2.
Step-by-step explanation:
4 ^3 = 64
h(2/3)^3 = h ^(3*2/3) = h^2.
Answer Asap!
<3 <3 <3
Thx
Answers
Answer:
the answer is 15/17
because cosine=b/h=UV/UW=15/17
what is the value of x?
Answers
Answer:
so x = 80
Step-by-step explanation:
Any triangle, no matter what type will add up to a total of 180, so 70+30= 100, and you now subtract that 100 from 180 and you 80
Solve:
two fifths plus seven fifteenths equals blank
Question 3 options:
thirteen fifteenths
nine fifteenths
nine twentieths
nine fifths
Answers
Answer:
[tex]\frac{13}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{2.3}{5.3}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{6}{15}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{13}{15}[/tex]
Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!
Answers
Answer:
401 r 20
Step-by-step explanation:
PLEASE HELP!
Use a compass and straightedge to complete the following construction Leave all construction marks. Having a sharpened pencil will allow for more precise arcs. Make sure that your construction marks are dark enough to see.
Construct a perpendicular line to the given line through the point on the line.
link to the plot: https://www.mathopenref.com/constperplinepoint.html
Answers
Answer:
draw a line straight down through p
PLEASE HELP!!! I need help, I don't understand please help me!!!!
Answers
Answer:
2.5
Step-by-step explanation:
Length of CB is 5
so we can take CF which is the midpoint and divide that by 2 since its split
What is:
a. 2(6x - 4)+3(2x - 3)
b. 5+ (6x + 4)
Answers
A=18x−17
B=6x+9 hope it helps
Is 9/12 somehow related to the fractions "4/5","3/4" and "2/3"?
State the connection or how to get 9/12 from those fractions pls
Answers
Answer:
3 / 4
Step-by-step explanation:
9 = 3 x 3
12 = 3 x 4
9 / 12
= ( 3 x 3 ) / ( 3 x 4 )
= 3 / 4
Answer:
3/4
Step-by-step explanation:
9= 3×3
12= 3×4
9/12
= (3×3) / (3×4)
= 3/4
Hallar el área lateral de un cilindro que tiene de radio de la base 10 cm y de altura 5 cm.
Answers
Answer:
942.48
Step-by-step explanation:
Please help with this
Answers
Answer:
AAA?
Step-by-step explanation
Is 11:17 the same as 17:11
Answers
Answer:
It is a ratio, which could mean yes and no, mattering which side of the ratio the number goes to.
Step-by-step explanation:
Answer:
yes because it is the same
In the figure line m is parallel to line n if m angle 3 = (7x-10) and m angle 6=(5x+10) What are the measures of angle 3 and angle 6
Answers
Answer:
Than the other one is a good idea for the angle measured
Measures of angles 3 and 6 is 60°
What are parallel lines?Parallel lines are those straight lines that are always the same distance apart from each other.
Given that, line m is parallel to line n and m ∠ 3 = (7x-10) and m ∠ 6=(5x+10)
Since m ║ n then
m ∠ 3 = m ∠ 6
(7x-10) = (5x+10)
2x = 20
x = 10
m ∠ 3 = 7x-10 = 7*10 - 10 = 60°
m ∠ 6 = (5x+10) = 5*10 + 10 = 60°
Hence, Measures of angles 3 and 6 is 60°
For more references on Parallel lines, click;
https://brainly.com/question/16701300
#SPJ5
PLEASE HELP I NEED THIS QUESTIONS TO PASS THE CLASS
Answers
Answer:
I : 5x + 7
M: 49x - 20
Y: [tex]x^{2}[/tex] + x + 5
P: 4x + y + 4
L: 2[tex]x^{2}[/tex] + 4x
F: -30x + 33
I: 51x - 65
4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.
Answers
Answer:
268.25
Step-by-step explanation:
by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25
*edit, messed up how long a year was, corrected my issue, answer & equation.
Answer:
Step-by-step explanation:
How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome
I need help with this one question, please show work on paper or text, thank you
Answers
answer :243
this should be helpful
Use the model why 522 is divisible by 9
Answers
Answer:
The rule for divisibility by 9 works because numbers are written in base 10.
Step-by-step explanation:
5 + 2 + 2 = 9
9 is divisible by 9, Therefore, 522 is divisible by 9
a box is shaped like a cube.the box a length of 1 foot, a width of 1 foot and a height of 1 foot. what is the volume of the box
Answers
Answer:
1 ft^3
Step-by-step explanation:
Answer:
1 ft^3
Step-by-step explanation:
Volume = Length x Width x Height, so 1x1x1. For volume ft would be cubed.
If a+ b = 6 and ab = 2 find a^3 + b^3
Answers
Answer: 180
Step-by-step explanation:
This is just testing if you know the sum of cubes formula:
[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]
Plugging in the respective values, you get
[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]
Please help I need the answer quickly.
Answers
Answer:
r = ± [tex]\sqrt{q^2-p^4[/tex]
Step-by-step explanation:
p² = [tex]\sqrt{q^2-r^2}[/tex] ( square both sides )
(p² )² = q² - r²
[tex]p^{4}[/tex] = q² - r² ( subtract q² from both sides )
[tex]p^{4}[/tex] - q² = - r² ( multiply through by - 1 )
q² - [tex]p^{4}[/tex] = r² ( take square root of both sides )
± [tex]\sqrt{q^2-p^4}[/tex] = r
Gina places biscuits in a circular pan in the fashion shown below. What is the area of the pan not covered by a
biscuit if the diameter of each biscuit is 2 cm? Use 3.14 for pi.
A. 6.28 cm2
B. 113.04 cm2
C. 3.14 cm2
D. 21.98 cm2
E. 28.26 cm2
Answers
Answer:
that isnt the full question like what is the area of the pan and stuff
Step-by-step explanation:
If i can get 6 poland spring water 3-liter for $6. How much would it be if i get 3 poland water?
Explain
Answers
Answer:
$3
if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.
Given that 7:3 = m:12 what is the value of m? POSSIBLE ANSWERS a) 8 b) 10 c) 16 d) 28
Answers
Answer:
option d
Step-by-step explanation:
7:3 is the same as 28:12 which means that m is 28
You bought for hamburgers you gave the cashier $50 bill and get $22 change how much was each hamburger
!!!!!!!!5 step plan please!!!!!!!!
Answers
$28/4hamburgers=$7
Type the expression that results from the following series of steps:
Start with z and add 5.
Answers
a big beach towel has a width that is 3 feet less than its length. Of the towels area is 28 feet, what is its length
Answers
Answer:
the answer is 9.333
Step-by-step explanation:
because if the towel of the width that is 3 feet less so you do 28/3=9.333
Answer:
length = 7 ft
Width = 4 ft
Step-by-step explanation:
length = l
Width = l -3
Area = 28 sq.ft
length *width = 28
l*(l-3) = 28
l*l - l*3 = 28
l² - 3l - 28 =0
l² - 7l + 4l - 28 = 0
l(l - 7) + 4(l - 7) = 0
(l -7) (l + 4) =
l -7 = 0 {Ignore l + 4 = 0 as , it gives a negative value}
l = 7 ft
width = 7 - 3= 4