consider the system of equations. which shows an equivalent system of equations?
see attatched

Triangle ABC was rotated 90 degrees counter clockwise to become triangle STU

Answer:

2.42

Step-by-step explanation:

Answer: 2.4

Step-by-step explanation: It is 2.4 because it is 2 remainder 6

It looks like the given differential equation is

(3x² + y²) y + (y² - x²) x dy/dx = 0

Multiply both sides by 1/x³ to get

(3 + y²/x²) y/x + (y²/x² - 1) dy/dx = 0

(Note that in order to do this, we must have x ≠ 0, which means that if a solution exists, it would have to be on either (-∞, 0) or (0, ∞).)

Now substitute z = y/x, or y = xz, from which we get dy/dx = x dz/dx + z. Making this replacement and simplifying yields a separable equation:

(3 + z²) z + (z² - 1) (x dz/dx + z) = 0

(3 + z²) z + (z² - 1) x dz/dx + (z² - 1) z = 0

(z² - 1) x dz/dx = -(2z³ + 2z)

x dz/dx = (2z³ + 2z)/(1 - z²)

(1 - z²)/(2z (z² + 1)) dz = dx/x

Integrate both sides. On the left, split up the expression into partial fractions.

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac az + \dfrac{bz+c}{z^2+1}[/tex]

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac{a(z^2+1)+(bz+c)z}{z(z^2+1)}[/tex]

[tex]1-z^2 = (a+b)z^2 + cz + a[/tex]

for which we find a = 1, b = -2, and c = 0:

[tex]\dfrac{1-z^2}{2z(z^2+1)} = \dfrac12 \left( \dfrac1z - \dfrac{2z}{z^2+1} \right)[/tex]

Integrating and simplifying yields

1/2 ∫ (1/z - 2z/(z² + 1)) dz = ∫ dx/x

1/2 (ln|z| - ln(z² + 1)) = ln|x| + C

1/2 ln|z / (z² + 1)| = ln|x| + C

ln(√(z/(z² + 1))) = ln|x| + C

exp[ln(√(z/(z² + 1)))] = exp[ln|x| + C]

√(z/(z² + 1)) = exp[ln|x|] exp[C]

√(z/(z² + 1)) = Cx

z/(z² + 1) = Cx²

Replacing z = y/x then gives us an implicit solution of

(y/x) / (y²/x² + 1) = Cx²

xy / (y² + x²) = Cx²

y / (y² + x²) = Cx

y = Cx (y² + x²)

Cxy² - y + Cx³ = 0

though we can solve for y explicitly (assuming x > 0) using the quadratic formula to end up with

y = (1 + √(1 - Cx⁴))/(Cx)

(the other solution only differs by the sign on the square root)

Answer:

66

forty-four times 1.5 equals 66

Answer:

Step-by-step explanation:

400*1.12^-4= 254.2072314

Answer

Step-by-step explanation:

neither

brainlest

Zeros be a and b

Function

[tex]\\ \sf\longmapsto y=x^2-(a+b)x+ab[/tex]

[tex]\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)[/tex]

[tex]\\ \sf\longmapsto y=x^2-20x+91[/tex]

Option B

Answer:

109r6

Step-by-step explanationi got it

Answer:

3

divide

6

Step-by-step explanation:

Inequalities are solved similar to how equalities are solved. Isolate the variable using the properties of equality.

So the first step is to subtract 3 from both sides. This starts to isolate the variable. Additionally, because the same thing happens to both sides, the inequality is still true.

Then, divide both sides by 4. This is the last step to isolate the variable. Doing this not only keeps the inequality true, but it also allows the x to be by itself.

This is the final answer, x>6, x is greater than 6.

Answer:

if she pays the bank back it would be 25 but if she just deposited 85 then she has 85 in the bank

Step-by-step explanation:

Answer:

x=3 and y=-4

(3,-4)

Step-by-step explanation:

I searched it up :/

Answer:

x = 3 and y = -4

Step-by-step explanation:

Solve y = 2x-10 for y:

y=2x-10

Substitute 2x-10 for y in y = -3x+5:

y=-3x+5

2x-10=-3x+5

2x-10+3x=-3x+5+3x (add 3x to both sides)

5x-10=5

5x-10+10=5+10 (add 10 to both sides)

5x=15

5x/5=15/5 (divide both sides by 5)

x = 3

Substitute 3 for x in y = 2x-10:

y=2x-10

y=(2)(3)-10

y=-4 (simplify both sides of the equation.

Therefore your answer is x = 3 and y = -4.

Answer:

answers are (1+0.13)x and 1.13x

Step-by-step explanation:

i did this one last year and got it right :)

Answer:

x²+12x+36 =0

Step-by-step explanation:

Hii, so I'm assuming your equation is equal to 0-->

x²+_x+36 =0

this could go many ways..

x²+12x+36 =0

which factor to (x+6)(x+6)

x²+15x+36 =0

which factor to (x+12)(x+3)

x²+13x+36 =0

which factor to (x+9)(x+4)

If I had to choose a answer.. I would go with the 1st option x²+12x+36 =0

Hope this helps, if there was more to this question, leave a comment and I can come back and help you ;)

Answer:

Step-by-step explanation:

Answer:

So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.

Step-by-step explanation:

HOPE IT HELPS I'M FILIPINO STUDENTS

Ratio of 6 to 5

A ratio of 6 to 5 can be written as 6 to 5, 6:5, or 6/5. Furthermore, 6 and 5 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.

A ratio of 6 to 5 simply means that for every 6 of something, there are 5 of something else, with a total of 11

Below is a list of equivalent ratios of 6:5 that we created using our 6:5 ratio calculator above.

6:5

12:10

18:15

24:20

30:25

36:30

42:35

48:40

54:45

60:50

66:55

72:60

926+729299277=5289+83783

Answer:

Step-by-step explanation:

h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11

Answer:

0.75 mi.

Step-by-step explanation:

15/20=3.90/x

Answer:

70°

Step-by-step explanation:

isoceles so base angles are 55

55+55 is 110 so 180-110 is 70

Answer:

if the triangle is isosceles

Step-by-step explanation:

traingle angles= 180°

isosceles traingle= base angles are equal

180°-55°-55°= 70°

if there is any doubt leave a comment

Answer:

[tex] \frac{5}{4} [/tex]

Hello there! :)

45/36

Let's look for common factors:

45 is divisible by 3, 9 (I list the common factors here)

36 is divisible by 3, 9

Now, the greatest common factor (9) is the one we will use.

Divide 45 by 9:

5

36 by 9:

4

So the answer is 5/4.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

The answer is 476

Step-by-step explanation:

hope this helps :)

Answer:

SSS

Step-by-step explanation:

are 2 isosceles right triangles congruent, have both sides and angles equal, so the answers are all valid, the simplest is SSS, 2 sides are the same and marked on the drawing, the third is the same accordingly

Answer: He biked 4 and 3/8 miles

Step-by-step explanation:

since he ran 1.25 miles and biked 3.5 times farther than that you'd multiply both numbers and get 4.375 which simplifies to 4 and 3/8

Answer:

Step-by-step explanation:

Hi,

4a - 11 = 2a + 3

4a - 11 + 11 = 2a + 3 + 11

4a = 2a +14

4a - 2a = 2a - 2a + 14

2a = 14

2a / 2 = 14 / 2

a = 7

3z + 12 = 15

3z + 12 - 12 = 15 - 12

3z = 3

3z / 3 = 3 / 3

z = 1

2 - 6b = 20

2 - 2 - 6b = 20 - 2

- 6b = 18

6b = - 18

6b / 6 = -18 / 6

b = -3

3y - 5 = 27 - y

3y - 5 + 5 = 27 - y + 5

3y = - y +32

3y + y = - y + y +32

4y = 32

4y / 4 = 32 / 4

y = 8

✅(◠‿◕)

#A

#B

#C

#D

To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.

9) 3.021 < 3.12 < 3.121 < 3.21

Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.

10) 5.0090 < 5.05 < 5.059 < 5.5

Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.

_________

RainbowSalt2222 ☔

Answer: 6/9 = 2/3

Step-by-step explanation: The answer is 2/3 or 6/9 is because you add 2 to 4 and that is 6 you keep the denominator the same because both fractions have the same denominator and you get 6/9, 6/9 is simplified to 2/3

Answer:

I'm guessing the answer is sec³θ

Step-by-step explanation:

I tried this problem and I got 1/cos³θ and clicked cos³θ, but that answer was incorrect. In my lesson, there were the options:

1. sec³θ

2. cos³θ

3.  secθ

I didn't have options 1 + sinθ or 1 as answers. If sec³θ is not the correct answer, please correct me.