Add or Subtract: show your work 30 POINTS

(1) Along the x-axis, we have y = 0, so that

[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2} =\lim_{x\to0}\frac34= \frac34[/tex]

(2) Along the y-axis, we take x = 0, then

[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{y\to0} \frac0{4y^2} = 0[/tex]

(3) Along the line y = mx, we have

[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2+4(mx)^2} = \lim_{x\to0}\frac{3x^2}{4x^2+4m^2x^2} = \frac3{4+4m^2}[/tex]

which means the limit is dependent on the slope of the line m.

(4) nonexistent

9514 1404 393

Answer:

  2.77

Step-by-step explanation:

Usually we like to do long division with the divisor being an integer. Here, that means the decimal points in both numbers are moved one place to the right. This makes the division be 141.27/51 = 2.77. The work is shown in the attachment.

Answer:

Virchow

Step-by-step explanation:

He was the one who discovered that all cells come from pre-existing cells, the third part of the cell theory.

Answer:

m = (6-5)/(4-1)

m = 1/3

.............

Answer:

(x-1.5)^2 -2.25

Step-by-step explanation:

divide 3 by 2 which is 1.5

(x-1.5)^2 -2.25

Answer:

p = 4a

p = a+a+a+a

Step-by-step explanation:

the first one is shorter

Answer:

3. Sanford Township, Minnesota

4. Inner Mongolia, China

5. Arunachal Pradesh, India

6.Almaty Region, Kazakhstan

7.Madhya Pradesh, India

Step-by-step explanation:

Answer:

[tex]all \: real \: numbers \: except \: \\ x + 3 < 0 \\ \: \: \: \: x < - 3[/tex]

Answer:

X is the domain and sqr root of X+3 is the range.

Answer:

[tex] \frac{21 {a}^{3} }{3 {a}^{2} } = 7a[/tex]

[tex](2x + y)(x - y) \\ = 2 {x}^{2} - 2xy + xy - {y}^{2} \\ = 2 {x}^{2} - xy - {y}^{2} \\ [/tex]

[tex]3x + 2y - 2x + y \\ = x + 3y[/tex]

I hope I helped you^_^

Answer:

a = 7a, b = [tex]2x^2 - yx - y^2[/tex]

Step-by-step explanation:

a. 21 / 3 = 7. [tex]a^3 / a^2 = a[/tex] (exponents are basically subtracted when dividing), creating 7a

b. [tex](2x + y)(x-y)[/tex]

Use FOIL for this or use the distributive property, either way. Then combine like terms

[tex]2x^2 - 2xy + yx - y^2[/tex]

[tex]2x^2 - yx - y^2[/tex]

Hi

it's means multiplicate your number by 40/100 ie : 0.4

have a try. Math is all about method and practice.

Answer:

9 is the correct answer

hope that it will help you

Answer:

16. 42

21. 18

Step-by-step explanation:

answer:

Times it or multiply to get 2800000 then It should be B meter's by seconds.

Step-by-step explanation:

Answer:

TRUE

If a triangle has three congruent angles, it is be equiangular. Since congruent angles have congruent sides opposite them, all sides in an equiangular triangle will also be congruent. Therefore, every equiangular triangle is also equilateral

Answer:

-3

Step-by-step explanation:

6 + (six more) 3x (3 times a number) = x (is equal to the number)

6 + 3x = x

6 + 2x = 0

2x = -6

x = -3

Answer:

x=0

Step-by-step explanation:

0+4=4

4x2=8

it's pretty simple once you get the hang of it

Check the pictures attached for the answers.

Answer:

y = -30

Step-by-step explanation:

Set the ratio: [tex]\frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex]

Let:

[tex](x_1 , y_1) = (-4 , 10)\\(x_2 , y_2) = (12 , y)\\[/tex]

Plug in the corresponding terms to the corresponding variables:

[tex]\frac{-4}{10} = \frac{12}{y}[/tex]

First, cross multiply.

[tex](-4 * y) = (10 * 12)\\-4y = 10 * 12\\-4y = 120[/tex]

Next, isolate the variable, y. Divide -4 from both sides of the equation:

[tex]\frac{-4y}{-4} = \frac{120}{-4}\\y = \frac{120}{-4}\\y = -30[/tex]

-30 is your answer for y.

Answer:

21~5

becouse 21 Is bigger than 5w

Answer:

the normal distribution is a symmetric distribution with no skew. ... A left-skewed distribution has a long left tail. Left-skewed distributions are also called negatively-skewed distributions. That's because there is a long tail in the negative direction on the number line.

Answer:

the answer is D

Step-by-step explanation:

because I'm right

Answer:

formula= 6ssquare

Step-by-step explanation:

where s is the length of the cube on each side

Answer: x < 7  

Step-by-step explanation:

please mark this answer as brainlist

9514 1404 393

Answer:

Step-by-step explanation:

We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...

  10t +19e = 232 . . . . . the total of players and coaches in the two clubs

We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."

The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.

The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.

Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.

The Tigers have 8 coaches and 72 players.

The Eagles have 16 coaches and 136 players.

Answer:

B. hexagon

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

Answer:

183 centimeters

Step-by-step explanation:

2 multiply the length value by 91.44

Answer:

i think this might be it? but most likely :) <3

Step-by-step explanation:

Answer:

[tex] - \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4} [/tex]