Nhat is the slope of the line whose equation is y-4=(x-2)?


A. - 5/2

B. - 2/5

C. 2/5

D. 5/2

Answer:

Step-by-step explanation:

We can look at the ratios of differences between x and y values to determine the nature of the sequence.

x-differences

  9 -8 = 1; 11 -9 = 2;

y-differences

  12 -10 = 2; 16 -12 = 4;

__

The ratios Δy/Δx are 2/1 = 2 and 4/2 = 2. That is, the points lie on a straight line with slope Δy/Δx = 2.

The y-intercept of the line can be found using the formula ...

  b = y -mx

  b = 10 -2(8) = -6 . . . . for (x, y) = (8, 10)

So, the rule relating x and y is ...

  y = 2x -6

The value of n is ...

  n = 2(14) -6 = 22

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:

Step-by-step explanation:

Thank you ☺️☺️

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:

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:

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:

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

Step-by-step explanation:

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:

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:

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:

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

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:

$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:

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:

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:

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:

to me both

Step-by-step explanation:

because the two of them is working in hospital

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:

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:

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

Answer:

-2 + 5 = 3

Step-by-step explanation:

The arrow represents an addition, you start with -2 and add 5, so you end up at +3.

Answer:

I can help, but what is the equation?

Answer: uhh

Step-by-step explanation:

2. trikes

Answer: 10.50

Explain:

Egg

Answer: 15

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

Step 2: Multiply both sides by 5/2.

Answer:

10x=36

Step-by-step explanation:

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.