The length of RT is 4x-4.Given that point S is between point R and T,
where the length of RS is 2x + 6 and the length of ST is 16, what is the
length of RS?

Answer:

y^2 = 2x + 6

2x = y^2 - 6

x = 1/2(y^2 - 6)

The points of intersection of the  curves are  calculated:

y + 1 = 1/2( y^2 - 6)

2y + 2 = y^2 - 6

y^2 - 2y - 8 = 0

( y - 4)(y + 2) = 0

y = 4, -2

when y = 4, x = 5 and when y = -2 x = -1.

Integrating between  y = 4 and y = -2

     4

     INT  [ ( y + 1 + 1/2 (6 - y^2) ]dy

     -2

=    4

    {   y^2 / 2 + y + 3y - y^3/6 }

 -2

= 13 1/3 - (-4 2/3)

13 1/3 + 4 2/3

= 18  answer.

Answer:

i think its 18.

Step-by-step explanation:

Answer:

rotation then reflection, because it reflects from 2-3 and from 1-2 it is rotated.

Answer:

D

Step-by-step explanation:

total=184 tickets

listeners= x tickets

employees=y tickets

184=x+y

x=3y

plug x into the first equation.

184=3y+y

184=4y

184/4=46

y=46

now plug y into the second equation

x=3(46)

x=138

the listeners got 138 tickets, and the employees got 46 tickets.

Answer:

1,1,1,1,1,1,1,2,2,4,5,6,7,8,9

Step-by-step explanation:

1+1+1+1+1+1+2+2+4+5+6+7+8+9=50

lol this took way too much time

Answer:

The Picture is of a trapezium

Area of Trapezium= 1/2h(L1+L2)

=1/2×7(11+3)

=49

Hence the area of the shape is 49

Answer:

Step-by-step explanation:

[tex]let~sin ^{-1}(\sqrt{3} /2)=y\\sin y=\sqrt{3} /2=sin ~(\pi /3),sin (\pi -\pi /3)\\y=\pi /3,2 \pi /3[/tex]

[tex]sin ^{-1}(\sqrt{3} /2)=\pi /3,2\pi /3[/tex]

your question is not clear.

Answer: uhh

Step-by-step explanation:

2. trikes

Answer:

The answer is 75.

Step-by-step explanation:

First, we apply the rule of PEMDAS (or whatever order of operations rule you have learned). In this equation, we first solve inside the parentheses.

8 x 9 = 72

18/3 = 6

Now, our equation has become 9 + 72 - 6. We can solve this left to right:

9 + 72 = 81

81 - 6 = 75

Answer:

Step-by-step explanation:

Thank you ☺️☺️

Answer:

The second one should be the answer.

Answer:

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Step-by-step explanation:

In the algebraic fractions, the LCD is the least common denominator to find it do that:

Let us do that with our question

∵ The denominator of the first fraction is m² + 9m + 20

→ Factorize it into two factors

∵ 20 = 4 × 5 ⇒ the last term

∵ 4 + 5 = 9 ⇒ the coefficient of the middle term

∴ m² + 9m + 20 = (x + 4)(x = 5)

∴ The factors of m² + 9m + 20 are (x + 4) and (x + 5)

Do the same with the 2nd denominator

∵ The denominator of the second fraction is m² + 11m + 28

→ Factorize it into two factors

∵ 28 = 4 × 7 ⇒ the last term

∵ 4 + 7 = 11 ⇒ the coefficient of the middle term

∴ m² + 11m + 28 = (x + 4)(x + 7)

∴ The factors of m² + 11m + 28 are (x + 4) and (x + 7)

∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)

→ LCD will be all factors without repeating which means we will

   take the factor (x + 4) just one time, we will not repeat it.

∴ LCD = (x + 4)(x + 5)(x + 7)

∴ The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Answer:

The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.

Select from the drop-down menu to correctly complete the statement.

The median ounces of water drank on the basketball team was about 130 oz less thanResponse area the median ounces of water drank on the soccer team.

Correct answers:

1

45 oz less than

Answer: 16 stickers

Step-by-step explanation:

The ratio of sweets to crayons is 5:3

we know she is using 150 sweets.

so if 5 = 150, then 3 = 90.

We know there are 90 crayons and 150 sweets.

So there are a total of 240 non-sticker items

If 60% = 240, then 40% = 160

Now we know that there are 150 sweets, 90 crayons, and 160 stickers.

If she is filling 10 bags, then there are 15 sweets, 9 crayons, and 16 stickers in each.

So there are 16 stickers/bag.

Answer:

4

Step-by-step explanation:

4 x 4 is 16 * dabs*

Step-by-step explanation:

S²=16

S=√16

S=4. Because 4x4=16

hope this helps you

have a good day.

Answer:

I can help, but what is the equation?

Answer: 1/3

Step-by-step explanation:

If the equation of a line is given in the form y=mx+b, then the y-intercept is the value of b.

Answer:

Randall now has a negative balance

Step-by-step explanation:

Answer:

All are false I believe :)

Step-by-step explanation:

3 x 18 = 54

$75 - 3(-$18)= 129

Answer: 10.50

Explain:

Egg

Answer:

C. They have the same y-intercept and the same end behavior as x approaches ∞

Step-by-step explanation:

Answer: [tex]2(3x+5)=3x-2[/tex]  , required equation.

Step-by-step explanation:

As per given we have,

First number = [tex]\dfrac13[/tex] of second number.    (i)

Second number = Third number - 5   (ii)

2 (third number)= Second number - 5   (iii)

Put  x= first number in (i).

so, [tex]x=\dfrac13[/tex] of second number.

⇒ second number =[tex]3\times x=3x[/tex]

From (ii)

[tex]3x=[/tex] Third number - 5

⇒ Third number =[tex]3x+5[/tex]

From (iii)

[tex]2(3x+5)=3x-2[/tex]  , required equation.

Answer:

The first one is d) fluid ounces

The second one I think is c) meters

the third one I think is d) 2kg

Step-by-step explanation:

We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.

We have from day 1:

A: 3s + 9c = 75

And from day 2:

B: 8s + 5c = 67

Now we can rewrite A as:

A: 24s + 72c = 600

And can rewrite B as:

B: 24s + 15c = 201

Now A-B can be written as:

A-B: 57c = 399

So c = 7

Now substituting this back into A we get:

A: 3s + 63 = 75

A: 3s = 12

So s = 4

We have the price of a senior ticket is $4 and the price of a child ticket is $7 (idk if this is right hope it is!!!)

Answer: 15

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

Step 2: Multiply both sides by 5/2.

Answer:

  x = 8

Step-by-step explanation:

The value of x can be found by equating the associated angle with its vertical angle. That vertical angle is the difference between the one marked 18° and the right angle.

  ∠ZJW = ∠HJZ -∠WJZ = 90° -18° = 72°

  ∠GJL ≅ ∠ZJW

  (9x)° = 72°

  x = 72/9 = 8

Answer:

$656.77 C

Step-by-step explanation:

$1,500-$225.30-$482.25-$135.68=

$656.77

Answer:

i think the anser is c

Step-by-step explanation:

Answer:

£10

Step-by-step explanation:

3:1

difference in the ratio is 2 so 2 is £20

so 1 is 20/2 =10

Sushil is 1 in the ratio an 1 x 10 is 10.

this is a brief explanation.

Hope this helps x