the pair of the lines x^2-3y^2=0 and the straight line x=a enclose a triangle which is

Answer:

x = 140

Step-by-step explanation:

Given the equations

[tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{5}[/tex] y = 98 ( multiply through by 5 to clear the fractions )

2x - y = 490 → (1)

[tex]\frac{2}{7}[/tex] x - [tex]\frac{1}{14}[/tex] y = 55 ( multiply through by 14 to clear the fractions )

4x - y = 770 → (2)

Subtract (1) from (2) term by term to eliminate y

2x + 0 = 280

2x = 280 ( divide both sides by 2 )

x = 140

Answer:

Expected value =0.9

Standard deviation = 0.4359

Step-by-step explanation:

Let's use the formula to find expected value or mean.

Expected value =Σ x *P(x)

  x    0    1     2

P(x) ) .15  .8  .05

So, expected value = (0)(0.15) +1(0.8)+2(0.05)

                                = 0 +0.8 +0.1

                                =0.9

Expected value =0.9

Now, let's find standard deviation

x           [tex](x- E(x))^{2}[/tex]         [tex](x-E(x))^{2} *p(x)[/tex]

0           [tex](0-0.9)^{2}[/tex]            [tex](0-0.9)^{2} *0.15[/tex]  =0.1215

1            [tex](1-0.9)^{2}[/tex]            [tex](1-0.9)^{2} *0.8[/tex]    =0.008

2           [tex](2-0.9)^{2}[/tex]             [tex](2-0.9)^{2} *0.05[/tex]  =0.0605

Now, add the last column together and then take square root to find standard deviation.

Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]

Simplify it, so standard deviation =0.4358898...

Round the answer to nearest four decimal places

Standard deviation = 0.4359

Answer:

ewan ask mo kay ma'am para alam mo po

Answer:

7

Step-by-step explanation:

Substitute x = 2 into the equation and evaluate

y = 5(2) - 3 = 10 - 3 = 7

Answer:

[tex]{ \tt{y = 5x - 3}} \\ y = (5 \times 2) - 3 \\ y = 7[/tex]

Answer:

-60x

Step-by-step explanation:

Answer:

8 more players

Step-by-step explanation:

There are already 4 players including Jeff, so in order to have more players, they need from 1-8 more players.

Have a good day!!!!

Answer:

5:15 simplified as 1:3

Step-by-step explanation:

Answer:

y + 3 = -1/2(x - 2)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Slope m = -1/2

Step 2: Find Equation

Answer:

No

Step-by-step explanation:

Because 1 don't equal to 16

Answer:

no

Step-by-step explanation:

* means multiply

(2,1)

x = 2

y = 1

just plug in the numbers

1 = 8*2 ?

1 = 16? no

Answer:

the 4th option

Step-by-step explanation:

the 4th one

Answer:

D. 2.99x + 12.99y = 43.92

Step-by-step explanation:

1 pair of socks costs $2.99

x pairs of socks cost 2.99x

1 blouse costs $12.99

y blouses cost 12.99y

The total cost is the sum of the two costs

2.99x + 12.99y

We are told the total cost is $43.92

2.99x + 12.99y = 43.92

Answer: D. 2.99x + 12.99y = 43.92

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

Answer:

151200

Step-by-step explanation:

We can start by essentially taking off the E at the end, meaning that we want to find all the combinations of

EVANESCENC. We can do this because the combinations will have an E at the end by default.

To solve this, we have to figure out the amount of letters and the amount of each letter. There are 10 letters, with 3 E's, 2 C's, 2 N's, 1 S, 1 V, and 1 A. Using the formula [tex]\frac{n!}{n1!n2!...nk!}[/tex] , with n representing the amount of letters and each subset of n representing the amount of each letters, our answer is

[tex]\frac{10!}{3!2!2!1!1!1!} = \frac{10!}{3!2!2!} = 151200[/tex]

Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

Answer:

9,6,8 but if you mean like all the numbers its infinite because you can add decimals and the number will never end

Answer:

step 1

3/4+5/4

step 2

dinominator is same so we have to put 4

step 3

3+5/4

step 4

7/4

answer is 7/4

Answer:

2

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{5}{4}[/tex]

Since the denominators are common, both 4 then add the numerators leaving the denominator

= [tex]\frac{3+5}{4}[/tex]

= [tex]\frac{8}{4}[/tex]

= 2

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

Two or more expressions with an Equal sign is called as Equation.

Let's start by using the formula for the combined work of two people:

1/t = 1/3 + 1/2

Here, t represents the number of hours it would take to clear the field together.

To solve for t, we can first find a common denominator for the fractions on the right-hand side of the equation:

1/t = (2/6) + (3/6)

1/t = 5/6

To isolate t on one side of the equation, we can take the reciprocal of both sides:

t/1 = 6/5

t = 1.2

Therefore, it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

use system of equations

Step-by-step explanation:

Set one up for the Smith family and one for the Jones family

Answer:

Step-by-step explanation:

Since f(x) = k, is constant the value of k is same for any x.

From the given points we see:

It means k = 1 and the function is:

The value of f(0) = 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the vertices of the triangles is missing.

However, the following formula can be used to calculate distance;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Take for instance:

[tex]A = (1,8)[/tex]

[tex]A' = (7,8)[/tex]

The distance between both is:

[tex]d = \sqrt{(1- 7)^2 + (8- 8)^2}[/tex]

[tex]d = \sqrt{(-6)^2 + 0^2}[/tex]

[tex]d = \sqrt{36 + 0}[/tex]

[tex]d = \sqrt{36}[/tex]

Take square root

[tex]d = 6[/tex]

Apply the above steps to the complete question

Answer:

A D 3 3

B E 3 3

C F 3 3

A G 5 5

B H 5 5

C I 5 5

A J 6.4 6.4

B K 6.4 6.4

C L 6.4 6.4

Step-by-step explanation:

PLATO ANSWER

Answer:

[tex]m = \frac{3}{4}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The constant of proportionality

Select two points on the graph

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (4,3)[/tex]

So, the constant of proportionality (k) is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-0}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

Step-by-step explanation:

I hope this will help you

Answer:

[tex]volume = 2304\pi \ mm^3\\\\volume = 7234.56 \ mm^3[/tex]

Step-by-step explanation:

Radius , r = 12mm

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (12^3)\\\\[/tex]

                      [tex]=\frac{4}{3} \pi \times 1728\\\\= 4\pi \times 576\\\\= 2304 \pi \ mm^3\\\\or \\\\= 7234.56 \ mm^3[/tex]

[tex]\displaystyle\bf \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Answer:

Step-by-step explanation:

a² -2(a+b) - b² = a² - 2a - 2b -b²

                       = a² - b² - 2a - 2b

                       = (a+b)(a-b) - 2 (a+b)

                      = (a+b)(a - b - 2)

Answer:

49

Step-by-step explanation:

The probability of choosing a red marble is equal to the number of red marbles over the number of total marbles there are.

Therefore, let the number of red marbles be [tex]x[/tex].

We have the following equation:

[tex]\frac{x}{84}=\frac{7}{12}[/tex]

Cross-multiplying, we get:

[tex]12x=7\cdot 84,\\x=\frac{84\cdot 7}{12},\\x=\boxed{49}[/tex]

Therefore, there are 49 red marbles in the bag.

Answer:

3/18

Step-by-step explanation:

3/18= 0.16

10/3= 3.33

Answer:

3/18

Step-by-step explanation:

3/18 , 10/3

Simplify it to the smallest size

3/18 , 10/3

1/6 , 10/3

1/6 = 3/18

Answer:

The third one

Step-by-step explanation:

Answer:

71.4 degrees Celsius or 183.4 degrees Fahrenheit.

Step-by-step explanation:

The boiling point of water is 100 degrees Celsius.

I assume you mean the liquid's temperature is 28.60 degrees Celsius lower than the boiling point of water, so 100 - 28.6 = 71.4.

Therefore the liquid is 71.4 celsius.

If you wanted the temperature in Fahrenheit, the answer is 212 - 28.6 = 183.4 degrees Fahrenheit.