The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of lines are,
⇒ 2x + 3y + 2 = 0
⇒ 2xy = - 1
Now,
Since, The equation of lines are,
⇒ 2x + 3y + 2 = 0 ..(i)
⇒ 2xy = - 1 ..(ii)
From (ii);
⇒ 2xy = - 1
⇒ x = - 1/2y
Put above value in (i), we get;
⇒ 2 × - 1/2y + 3y + 2 = 0
⇒ - 1/y + 3y + 2 = 0
⇒ - 1 + 3y² + 2y = 0
⇒ 3y² + 2y - 1 = 0
⇒ 3y² + 3y - y - 1 = 0
⇒ 3y (y + 1) - 1 (y + 1) = 0
⇒ (3y - 1) (y + 1) = 0
⇒ y = 1/3
And, y = - 1
So, The value of x is,
⇒ x = - 1/2y
⇒ x = - 1/2 × - 1
⇒ x = 1/2
And, x = - 1/2 × 1/3
⇒ x = 1/6
Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)
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Help me please look at the pictures
write the equation of a line in slope intercept form y=mx+b m=6, (0,5)
Answer:
m is the slope so plug in y=6x+b
and b is the y intercept so the equation is y=6x+5
Step-by-step explanation:
Please help me with my homework!!!!!!
Answer:
Step-by-step explanation:
Given that x = 3 and y = 2 we can figure these out
3x = 3x3 = 9
5y = 5 x 2 = 10
9+10=19
X times y - 1
3x2-1=5
X*+y* =
3x3+2x2 = 13
2x3*-2 =
2x3x3 - 2 = 16
-5x3+9
= -6
2x2-3+5+3*-3x2 =
9
What and why is the total amount 180 is it a triangle? Or something
Answer:
Yes it is
Step-by-step explanation:
when you add up all parts of a triangle they are equal to 180
Answer:
yes
Step-by-step explanation:
the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)
Help me pls ?? 1. Suppose there is a raffle with numbered tickets 1 - 150. One ticket is randomly
drawn from a hat. Find the following probabilities:
A. Drawing an even number
B. Drawing a number greater than 100
C. Drawing an even prime number
D. Drawing a negative number
Hello!
Im beginning year 11 this year and I recently did really bad in my Mocks! I really need some help and advice for all of my subjects because I truly dont know how to revise effectively and because I keep Procrastinating!
Any advice would be appreciated or if u have links to videos and helpful websites I would appreciate it
Here are my results :
Maths : 4
Eng Language : 4
Eng Lit : 4
Chemistry : 4
Physics : 3
Biology : 3
RE: 4
Health and Social care : Level 2 Pass
History : 4
Food Tech : 4
Spanish : 4
Thank u!
Answer:
if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah
like if you have a math question just go to ask question you and someone will help
and also explain so yeah hope i helped a littleA simple pulley with the give radius 4 in used to lift heavy objects is positioned 10 feet above ground level. Given that the pully rotates 720 degrees determine the height yo which the object is lifted.
9514 1404 393
Answer:
50.3 inches
Step-by-step explanation:
720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...
C = 2πr
C = 2π(4 in) = 8π in
Then 2 times that is ...
height lifted = 2(8π in) = 16π in ≈ 50.3 in
The object was lifted about 50.3 inches.
evaluate the function
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
I need answers asap!!!!!!!
Step-by-step explanation:
with God everything is possible
explanation
because we go to church
Can someone please explain to me how we do this please...
Answer:
(7/8, 0)
Step-by-step explanation:
The formula to find the midpoint is (x1+x2/2, y1+y2/2).
(5.5-3.75/2, 2.25-2.25/2)
(1.75/2, 0/2)
(0.875, 0)
(7/8, 0)
Best of Luck!
What is 50x30 I really need to know
Answer:
1500
Step-by-step explanation:
Basically 5*3 then add the two zeroes. One from 50 and 30.
What is the equation of the line that passes through the point (4, -7) and has a
slope of – } ?
Answer:
Submit Answer
PLS HELP ASAP
Answer:
I think that some information is missing? what is the slope?
If you are trying to say that there is NO SLOPE then the
answer is " x = 4 "
Step-by-step explanation:
What is equivalent to -23?
A mobile device that normally sells for $99.90 is
marked down 10%. What's the discount price?
$99.00
$89.99
$89.91
$89.90
Answer:
89.90 is the answerrrrrrrrrrr
Answer:
89.91
Step-by-step explanation:
You can do this with a calculator 99.90-10%
Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.
What score does Susan need to earn on project #4 to earn an 85% total average?
Answer:
Step-by-step explanation:
17*4=68
68-18=50
50-15=35
35-16=19
19
The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form
Answer:19
Step-by-step explanation:
because if it added it becomes that
What is the volume of the following rectangula
prism?
4
units
3
23
units
4
SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW
what is the answer to 15 and 18? pls help it will mean a lot:)
Answer and Step-by-step explanation:
15. [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]
-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex] (Mixed number)
Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).
-1.35 x 100 = -135
[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]
(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)
18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]
4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]
4.4545.....
Multiply the number by 100 (because there is 2 numbers being repeated.
445.4545....
Now subtract by the original number.
445.4545....
- 4.4545....
441.00
Write this as an equation:
(100 x fraction) - fraction = 441 (100 x fraction) - fraction = 99 x fraction
99 x fraction = 441 (Divide both sides by 99)
fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])
#teamtrees #PAW (Plant And Water)
4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3),
what are the coordinates of B?
Answer:
23 just took the test
Step-by-step explanation:
Answer:
B(5,-1)
Step-by-step explanation:
The formula for finding the midpoint of any line is: [ (x1+x2) / 2 ] , [ (y1+y2) / 2 ] .So, x1=1 and x2=x. And y1=-3 and y2=y.
So,
(1+x)/2=3, then manipulating it gives x=5.
And,
(-3+y)/2=-2, then manipulating the equation gives y=-1.
Hence B(5,-1)
Is 0.62473 a member of the set? For each set of real numbers, select yes or no
?
Step-by-step explanation:
can't see the opinions
Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5
Answer:
a)
[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]
b)
[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]
c)
[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]
I hope I helped you^_^
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 59,540 words how many pages is the book? (This sentence and picture combine.)
Answer:
199 pages
Step-by-step explanation:
The average number of words on the page is 300. Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).
-2x + 9x5 + 1 - 9x2
What’s the answer to this someone help plz
Answer:
factored = -2(x-14) Simplified= -2x+28
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.
Answer:
Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.
the quotient of 5+h and n+3
Answer:
5+h/n+3
Step-by-step explanation:
5+h is numerator
and n+3 is denominator
so you make it a fraction to get the quotient which is 5+h/n+3
I need help please i reposted this question 2 times no one knows the answer.1
Answer:
12 Points
Step-by-step explanation:
What is meant by the term formula in mathematics? Give an
example.
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
all the number sets that apply to -4/5
-8/10,-12/15,-16/20,-20/25,-24/30,etc.
The number sets that apply to -4/5 is the fractions.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now the given number is,
-4/5
-4/5 is a fraction. A fraction has two components numerator and denominator. This can positive or negative. Other example of fractions include 1/2,3/2,-5/2,-1/3.
The numbers who are not fractions are 0, 3, 6, 7.7.
Thus, the number sets that apply to -4/5 is the fractions.
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