Answer:
(y^2+1)(x^2+1)=k
Step-by-step explanation:
It looks like it is possibly separatable.
Let's try.
Factor the x out on first term and factor the y out on second term:
x(y^2+1)dx+y(x^2+1)dy=0
Subtracting y(x^2+1)dy on both sides:
x(y^2+1)dx=-y(x^2+1)dy
Divide both sides by (y^2+1)(x^2+1):
x/(x^+2+1)dx=-y/(y^2+1)dy
Integrate both sides..
Use substitution u=x^2+1 and v=y^2+1...so du= 2x dx and dv=2y dy.
.5du/u=-.5dv/v
.5ln|u|=-.5ln|v|+c
Multiply both sides by 2:
ln|u|=-ln|v|+c
Plug in our substitutions :
ln|x^2+1|=-ln|y^2+1|+c
Absolute values unnecessary since insides are positive always.... also -ln(y^2+1)=ln(1/(y^2+1))
e^ on both sides:
x^2+1=k(1/y^2+1)
(y^2+1)(x^2+1)=k
There were 82 goldfish in the tank at Jeremy’s birthday party. If this was 20% of the fish in the tank, how many fish were in the tank
Answer:
410 i think
Step-by-step explanation:
Today is the Harperville Fall for Fun festival, and Naomi is volunteering at the balloon stand. When she practiced last night, Naomi made 6 balloon animals in 12 minutes. Naomi is signed up for a 60-minute slot at the balloon stand.
If Naomi keeps the same rate, how many balloon animals will she make?
Answer:
30
Step-by-step explanation:
i just searched it up
Answer:
30
Step-by-step explanation:
A movie theater used Y=KX to calculate how much money
they made selling 9 buckets of popcorn. They determined they
made 45.99 dollars. How much was it for each bucket?
Luna runs 5,000 m in 35 minutes during a cross-country meet. What was her speed?
A. 0.007 m/min
B. 4,965 N
C. 5,035 N
D. 143 m/min
Answer:
D
Step-by-step explanation:
to calculate speed ( or v for velocity ) divide the space traveled by the time it took to travel that distance.
v = S/t = 5000m/35min = 143 m/min
Select the correct answer.
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
Answer: I think its d
Step-by-step explanation:
Answer number 10 no links
Answer: 6
Step-by-step explanation:if you add -5 1/3 plus (-2/3) that equals to -6 and if you are adding you gotta add a positive 6 to the negative 6 and that makes 0
[tex] - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0[/tex]
To findThe missing term
Taking the missing term as "x"
Solution[tex] - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0 \\ \\ \implies - \frac{ 16}{3} - \frac{2}{3} + x = 0 \\ \\ \implies \frac{ - 16 - 2}{3} + x = 0 \\ \\ \implies \frac{ - 18}{3} + x = 0 \\ \\ \implies \cancel \frac{ - 18}{3} + x = 0 \\ \\ \implies - 6 + x = 0 \\ \\ \implies x = 0 + 6 \\ \\ \implies x = \red6[/tex]
[tex] \therefore \tt{The \: \: missing \: \: term= 6}[/tex]
Hope This Helps3p - 8 = -23
What value of p makes this equation true
A. p= -6
B. p= -5
C. p= 5
D. p= 7
If the measure of angle 1 = 9x +6 and the measure of angle 2 = 2 (5x - 3), find x
Answer:
x=12
Step-by-step explanation:
<1 and <2 are equal since they are alternate exterior angles for parallel lines
9x+6 = 2(5x-3)
distribute
9x+6 = 10x-6
Subtract 9x from each side
9x+6-9x= 10x-6-9x
6 = x-6
Add 6 from each side
6+6 =x-6+6
12=x
Answer:
See below for answer.
Step-by-step explanation:
m∠1 = m ∠2 If lines are parallel, then alternating exterior angles are =
Therefore
a ║ b Given in the figure
m∠1 = m ∠2
9x + 6 = 2(5x - 3)
9x + 6 = 10x - 6 Distributive
9x + 12 = 10x Addition
12 = x Subtraction
Katie has $6,500 in a saving account if she earns 6% interest every month how much money does Katie have in your bank account after half a month how much money does Kaite have in her bank account after half a year.
AND IF SOMEONE DARES TO PUT A LINK PLEASE DON'T
Answer:
bad question sadly she would technechly have 6500 after half a month bc you only apply interest after the minth but im guessing she wants us to half it to make it for half the month so 6500*0.03= $195 in half the month
and half a year would be 6500*.06*6= $2340 after half a year
I need help writing done the work
Step-by-step explanation:
1). 6, 9, 10
6²+9² =
36+81 = 117
10² = 100
6²+9² > 10²
the acute triangle
2). 2, 12, 13
2²+12² =
4+144 = 148
13² = 169
2²+12² < 13²
the obtuse triangle
3). 9, 12, 19
9²+12²=
81+ 144 = 225
19² = 361
9²+12² < 19²
the obtuse triangle
4). 21, 28, 35
21²+28² =
441 + 784 = 1,225
35² = 1,225
21²+28² = 35²
the right triangle
_________
[tex]\:[/tex]
Answer in the picture.
free brainiest!!
10x82
Answer:
820
Step-by-step explanation:
82 ten times would just put a zero next to 82 then it would make it 820 And sorry for being 6 months late.
Mi tío compró un terreno campestre de forma rectangular que mide 3/4 hm de largo y 1/2 de ancho, ¿Cual es su área ?
Answer:
¿Cómo y por qué? El área de un rectángulo se represa mediante la relación:
Área = largo · ancho
En este caso conocemos:
3/4 hm de largo: l = 3/4
1/2 hm de hm: a = 1/2
La unidad hm, son los hectómetros. Un hectómetro equivale a 100 metros.
Calculamos el área:
A = (3/4 · 1/2) hm²
The area of rectangular piece of land that measures 3/4 m long and 1/2 m wide is 3/8 square meters
What is the Area of Rectangle?The area of rectangle is -
A = L x B
Given is a rectangular piece of land that measures 3/4 m long and 1/2 m wide.
We can calculate the area using the formula -
Area = Length x Width
A = 3/4 x 1/2
A = 3/8 square meters
Hence, the area of rectangular piece of land that measures 3/4 m long and 1/2 m wide is 3/8 square meters
To solve more questions on Areas, visit the link below-
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[Question in English for clear understanding -
My uncle bought a rectangular piece of land that measures 3/4 m long and 1/2 m wide. What is its area? ]
Solve the math problem
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The slope of the given line is Undefined because it is parallel to y - axis ~
Answer:
zero
Step-by-step explanation:
Find the slope of the line shown below.
Answer:
y=5
Step-by-step explanation:
The x has different values while the y will remain 5 for each value.
19) 8(8 + 2x) = -36 - 4x
SOLVE FOR X PLEASE IM STUCK ON THIS ONE
Answer:
x = -5
Step-by-step explanation:
jacob jogs 3/4 miles he than jogs 1/3 mile how many miles does he jog
Answer:
he jogs 1mile and 1 of 12 of a mile
Please help me finish my math homework
Answer:
x³+y³+z³=k
Explanation:
I talk, he talk, why you middle talk? You rotate the ground 4 times. You go and understand the tree. I'll give you clap on your cheeks. Bring your parents and your mother and especially your father. Close the window airforce is coming. I have two daughters and both are girls. Stand in a straight circle. Don't stand in front of my back
1. The order of the angles from smallest to greatest is PQR, QRP, PRQ.
2. The value of x + y is (2x + 179)/7.
3. Triangle GHK is isosceles because angles H and K are congruent.
4. The hypotenuse is always the longest side of a right triangle.
1. To determine the order of the angles in the given triangle, we can use the fact that the largest angle will be opposite the longest side. Let's compare the lengths of the sides:
- PQ = 5.6
- PR = 6.1
- QR = 5.2
From the given lengths, we can see that PR is the longest side. Therefore, angle PRQ will be the largest angle. Now we need to compare the remaining two angles, PQR and QRP. Since QR is the shortest side, angle PQR will be the smallest angle. This means that the order of the angles from smallest to greatest is: PQR, QRP, PRQ.
2. In a triangle, the sum of the interior angles is always 180 degrees. Given the angles in terms of y and x, we can set up an equation:
(4y - 8) + (3y + 9) + 5x = 180
Combining like terms:
7y + 5x + 1 = 180
To find the value of x + y, we need to solve for y in terms of x first. Let's isolate y:
7y = 180 - 5x - 1
7y = 179 - 5x
y = (179 - 5x)/7
Now, we can substitute this expression for y into the equation x + y:
x + y = x + (179 - 5x)/7
To simplify further, we can distribute the division:
x + y = (7x + 179 - 5x)/7
x + y = (2x + 179)/7
Therefore, the value of x + y is (2x + 179)/7.
3. To prove that triangle GHK is isosceles, we need to show that two of its sides are congruent. Given that angle H is 56 degrees, and angles IKJ and H are alternate interior angles, we know that angle IKJ is also 56 degrees. Since angle IKJ is 68 degrees, this implies that angle KJI is 112 degrees (180 - 68 = 112).
Now, considering triangle GHK, we have:
- Angle G = 180 - (angle H + angle K) = 180 - (56 + 112) = 180 - 168 = 12 degrees
Since angle G is 12 degrees, and angles G and H are alternate interior angles, we know that angle H is also 12 degrees.
Therefore, we have two angles in triangle GHK that are congruent, namely angle H and angle K, making it an isosceles triangle.
4. Proof that the hypotenuse is always the longest side of a right triangle:
Let's consider a right triangle with sides a, b, and c, where c is the hypotenuse.
According to the Pythagorean theorem, which is a fundamental property of right triangles, we have:
[tex]c^2 = a^2 + b^2[/tex]
To compare the lengths of a, b, and c, let's square all the sides:
[tex]a^2, b^2, and c^2[/tex] are all positive since they are the squares of real numbers.
Now, if we examine the inequality [tex]a^2 + b^2 < c^2[/tex], we can see that the sum of the squares of the shorter sides is less than the square of the hypotenuse.
Since [tex]c^2 = a^2 + b^2[/tex], the inequality becomes [tex]a^2 + b^2 < a^2 + b^2[/tex], which is not possible.
Therefore, we can conclude that in a right triangle, the hypotenuse (side c) is always the longest side.
To know more about Triangle, refer here:
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Write the slope-intercept form of the equation of a line parallel to y=-2/3x+12 that has a y-intercept of -13 (step by step)
Answer:
y = -2/3x - 13
Step-by-step explanation:
The slope remains the same, but the y-intercept changes to -13
solve the equation 2y=7(y−2)+4
y =
Answer:
y = 2
Step-by-step explanation:
Hi there!
[tex]2y=7(y-2)+4[/tex]
[tex]2y=7y-14+4\\2y=7y-10\\0=5y-10\\5y=10\\y=2[/tex]
I hope this helps!
Step-by-step explanation:
2y = 7(y-2) + 4
→ 2y = 7y - 14 + 4
→ 2y = 7y - 10
→ 2y - 7y = -10
→ - 5y = -10
Therefore, y = 10:5 = 10/5 = 2 Ans.
2x + 3y = 4
2x= 7y + 24
Let's solve for x.
2x+3y=4
Step 1: Add -3y to both sides.
2x+3y+−3y=4+−3y
2x=−3y+4
Step 2: Divide both sides by 2.
2x/2
=−3y+4/2
x=−3/2y+2
Answer:
x=−3/2y+2
A recipe for fruit punch calls for 9 cups of grape fruit juice for every 4 cups of orange juice if 60 cups of orange juice are used then how many cups of grapefruit juice are needed
Answer:
135 cups of grape juice
Step-by-step explanation:
Answer:
15 cups of grapefruit juice
plz mark brainllest if right
A barge traveled 30 miles up a river in 5 hours What was the average rate of travel, in miles
per hour, of the barye?
Answer:
6 miles per hour
does this help??
Step-by-step explanation:
Average speed = distance/time = 30/5 = 6 miles/hour
Rewrite 5(8+2) using the distributive property of multiplication over addition
Answer:
(8+2) + (8+2) + (8+2) + (8+2) + (8+2)
Step-by-step explanation:
The distributive property of multiplication allows you to show multiplication as addition.
what is 165.982 rounded to the nearset thousand
Answer:
that is the nearest thousands decimal place
If
m ≤ f(x) ≤ M
for
a ≤ x ≤ b,
where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
m(b − a) ≤
b
If
m ≤ f(x) ≤ M
for
a ≤ x ≤ b,
where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ f(x) dx ≤ M(b − a).
f(x) dx ≤ M(b − a).
Use this property to estimate the value of the integral.
8
(10x − 20 sin(x)) dx
7
Use the fact that -1 ≤ sin(x) ≤ 1.
Then
20 ≥ -20 sin(x) ≥ -20 … … … (multiply each side by -20)
-20 ≤ -20 sin(x) ≤ 20 … … … (swap the endpoints)
10x - 20 ≤ 10x - 20 sin(x) ≤ 10x + 20 … … … (add 10x to each side)
and over the interval [7, 8], we have
7 ≤ x ≤ 8
70 ≤ 10x ≤ 80 … … … (multiply each side by 10)
so that the whole integrand is bounded by
70 - 20 ≤ 10x - 20 sin(x) ≤ 80 + 20
50 ≤ 10x - 20 sin(x) ≤ 100
Take m = 50 and M = 100. It follows that
[tex]50(8-7) \le \displaystyle \int_7^8 (10x-20\sin(x)) \, dx \le 100(8-7)[/tex]
which places the value of the integral between 50 and 100.
Find the slope of the line passing through the points (-3,9), and (-3,8) I need before 09:30
Answer: The entered points belong to a vertical line. There is no slope.
Equation: x = -3.
Step-by-step explanation:
(-1,-1) has a slope of -6
Answer:
y=-6x+5
Step-by-step explanation:
Given: TRY =EFT. What angle is congruent to R?
A.<F
B.<E
C.<T
D.<Y
Step-by-step explanation:
option A angle F is correct ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
is 75 in less or greater than 7 ft
Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 12 hours and traveled 660 miles. At what rate did he travel on the first day, in miles per hour?
Answer: 55mph
Step-by-step explanation:
660/12=55 simple math don't be scared of word problems
Answer:
55 miles per hour
Step-by-step explanation:
Speed =Distance divided by time
