Click and drag like terms onto each other to simplify fully. — бх — бу+7y-y-6​

The maximum distance between them is the diameter of the circle, which is of 44 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The diameter is twice the radius, and is the maximum distance between two points on the same circle.

They are running on a circular path, modeled by:

[tex]x^2 + y^2 - 10x - 18y = 378[/tex]

Completing the squares, the equation is:

[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]

Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.

A similar problem is given at https://brainly.com/question/25008198

Answer:

a. $77.5 for 5 tickets

b. You can by 8 tickets with $130

Step-by-step explanation:

Answer:

a) $77.50

b) 8 tickets

Step-by-step explanation:

a) C(x) = 17.5(x) - 10

C = 17.5(5) - 10

C = $77.50

b) C(x) = 17.5(x) - 10

130 = 17.5(x) - 10

130 + 10 = 17.5(x) -10 + 10

140 = 17.5(x)

140/17.5 = (x)

8 = x

Answer:

68.75

Step-by-step explanation:

220 / 3.2 = 68.75

(Not sure if this helps, but I hope it does!)

Answer:

X=15

I hope this helps also I would appricate brainliest if possible :)

Answer:

Im not sure

Step-by-step explanation:

Answer:

36+63+_=180

Step-by-step explanation:

just add up everything in the smaller triangle to get 180

then ignore the line inside of the bigger triangle and repeat the first step, but only just look at the bigger one! that is how to do it, but I won't give the answer, good luck! ;)

Answer:

All you need to do is plug the values and then simplify!

[tex] \large{ \tt{ - 2x + 3y}}[/tex]

[tex] \longrightarrow \: \large{ \tt{ - 2 \times ( - 2) + 3 \times ( - 5)}}[/tex]

[tex] \longrightarrow \large{ \tt4 + ( - 15){}}[/tex]

[tex] \longrightarrow \large{ \tt{4 - 15}}[/tex]

[tex] \longrightarrow{ \large{ \boxed{ \tt{ - 11}}}}[/tex]

~Hope this helps! *Let me know if you have any other queries regarding my answer ! <3

Answer:

D becuase its given tht she spens $2 on cerial and x is the cost of apples per pound

Step-by-step explanation:

Have a good day, keep learning

Answer:

[tex]4x + $2.00[/tex]

Step-by-step explanation:

This is because the cost of the box of cereal is $2.00 and the cost of 4 pounds of apples at a cost of x dollars per pound is 4x so in conclusion the total cost will be $2.00+4x or 4x+$2.00

Answer:

-20

Step-by-step explanation:

All that you have to do for this question is just form the equation:

-12-8=x

And solve, which is:

-20

Answer:

The LCD IS 6

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Step-by-step explanation:

you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).

check the things in brackets that how the site its called.

Answer:

[tex]\displaystyle s = \frac{hz}{h-z}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle z = \frac{sh}{s+h}[/tex]

And we want to solve it for s.

First, we can multiply both sides by the denominator:

[tex]\displaystyle z(s+h) = sh[/tex]

Distribute:

[tex]\displaystyle sz + hz = sh[/tex]

Subtract hz and sh from both sides:

[tex]\displaystyle sz - sh = -hz[/tex]

Factor:

[tex]\displaystyle s(z-h) = -hz[/tex]

And divide. Hence:

[tex]\displaystyle s = \frac{-hz}{z-h} = - \frac{hz}{z-h} = \frac{hz}{h-z}[/tex]

Any one of the above three forms are correct, although the third form is preferred because it omits the additional negative.

Answer:

Step-by-step explanation:

Show that if 3x – 7 = 5, then x = 4.

Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.

x=4

Statements Reasons

1. 3x – 7 = 5 Given

2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)

3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)

4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)

5. 3x = 12 Substitution of 5 + 7 = 12 into (4)

6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3

7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)

8. x = 4 Substitution of 12⁄3 = 4 into (7)

Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A car covers the distance between two cities in 6 hours.

A van covers the same distance in 5.5 hours.

The speed of the van is 4 km per hour faster than the speed of car.

Let assume that

Speed of the car be x km per hour

So,

Speed of van is x + 4 km per hour.

Let further assume that

Distance between two cities be y km.

We know, Distance covered = Speed × Time.

➢ Now, Distance (y) covered by car at the speed of x km per hour in 6 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 6x}} - - - - (1)[/tex]

➢ Also, Distance (y) covered by van at the speed of x + 4 km per hour in 5.5 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 5.5(x + 4)}} - - - - (2)[/tex]

So, from equation (1) and (2), we have

[tex]\rm :\longmapsto\:6x = 5.5(x + 4)[/tex]

[tex]\rm :\longmapsto\:6x = 5.5x + 22[/tex]

[tex]\rm :\longmapsto\:6x - 5.5x = 22[/tex]

[tex]\rm :\longmapsto\:0.5x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{5}{10} \times x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{1}{2} \times x = 22[/tex]

[tex]\bf\implies \:x = 44[/tex]

On substituting the value of x, in equation (1), we have

[tex]\rm :\longmapsto\:y = 6 \times 44[/tex]

[tex]\bf\implies \:y = 264[/tex]

So,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{Distance \: between \: cities = 264 \: km} \\ \\ &\sf{Speed \: of \: car \: = \: 44 \: km \: per \: hour}\\ \\ &\sf{Speed \: of \: van \: = \: 48 \: km \: per \: hour} \end{cases}\end{gathered}\end{gathered}[/tex]

cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²

=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A

=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴

=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴

=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴

//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A

=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴

=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A

=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A

=> 1 - Sin²2A + 1/8Sin⁴2A

=> R.H.S

Answer:

5x(3 - 4y)

Step-by-step explanation:

Answer:

5x(3-4y)

Step-by-step explanation:

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The values of :

The given equations are :

now, let's multiply both the equations with 10 on both sides.

so, now our equations will be :

from Equation second :

now, let's substitute the value of y from here into Equation first.

here, we got the value of x = 2, let's plug it in equation second to find value of y :

And value of y = 3

Answer:

subtract 3 from the product of 9 and m

Answer:

6x+18=73

Step-by-step explanation:

Rectangle area w*l

(x+3)*6=73

6x+18=73

Answer: 231/10

Step-by-step explanation: 11/5 x 21/2

= (11 x 21) = 231  

= 231/5 x 2

=  231/10

Answer:

3 hours

Step-by-step explanation

It would be easier to convert your fractions into decimals.

1/5 is the same as 2/10.  Since the denominator was multiplied by 2 then the numerator must be multiplied by 2 also.

2/10 in decimal form is 0.2

He would practice 1.2 hours per day on school days

On Saturday his practice is 2 1/2 times longer than 1.2 hours.

Convert 1/2 into decimal form. 1/2 is the same as 0.5.

So 2 1/2 is the same as 2.5

If you multiply the original time (1.2 hours) by 2.5, you'll know how long he practices on Saturday.

1.2 x 2.5  = 3 hours.

    1.2

 x 2.5

  -------

     60

   24  

------------

   300          

since you have 1 decimal place in the top number and 1 decimal in the bottom number, you must move your decimal 2 places to the left on your answer.  Instead of 300, your answer becomes 3.00

Answer:

27

Step-by-step explanation:

3 numbers=30x3=90

third number=90-28-35=27

Hope this helps! Thanks.

Answer:

97

Step-by-step explanation:

100 - 3 = 97

Answer:

13 hours and 9 minutes

Step-by-step explanation:

Answer:

If I'm correct it should be 13 hr with an additional 9 min.

Step-by-step explanation:

Answer:

-16a-8

Step-by-step explanation:

(

2

−

1

)

(

2

−

1

)

−

(

2

+

3

)

(

2

+

3

)

{\color{#c92786}{(2a-1)(2a-1)}}-(2a+3)(2a+3)

(2a−1)(2a−1)−(2a+3)(2a+3)

2

(

2

−

1

)

−

1

(

2

−

1

)

−

(

2

+

3

)

(

2

+

3

)

Answer:

− 1 6 − 8

Step-by-step explanation:

Answer:

1700-1540=160

Answer:

1700-1540=160

mp=160/1540*1700

17'1630

Answer:

8.4

Step-by-step explanation:

+82

-5x+2>44

-2

-5x>42

divde by +5

x=8.4