**QUESTION**
Which of the statements about the y-axis are true?

**STATEMENTS**
I. The y-axis is a vertical number line that passes through the origin.
II. The y-axis intersects the x-axis at the point (0 , 0).
III. The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.
IV. The y-axis is a horizontal number line that passes through the origin.

**OPTIONS**
I and II
B.
I only
C.
IV only
D.
II and IV

Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Answer:  y = -(1/2)x + 3

Step-by-step explanation:

y = 2x - 1

This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the reference line.  The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).

This yields the equation y = -(1/2)x + b

To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:

y = -(1/2)x + b

3 = -(1/2)(0) + b

b = 3

The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:

y = -(1/2)x + 3

Answer:

k = -3/4

Step-by-step explanation:

The lines will be parallel if their slopes are equal.  To find the slope of each line, write its equation in slope-intercept form (y = mx + b).  In other words, solve each equation for y and look at the coefficient of x.

2x + 3y = 4k

3y = -2x + 4k

y = (-2/3)x + 4k/3

The slope of the first line is -2/3.

x - 2ky = 7

-2ky = -x + 7

y = [1/(2k)]x - 7/(2k)

The slope of the second line is 1/(2k).

If the slopes are equal, then

1/(2k) = -2/3

Multiply by 2k.

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

1 = (-4/3)k

k = -3/4

B) Juan Victor gave a 25% gratuity of $12 on a bill that was $48.

hope this is helpful!

Answer:

Step-by-step explanation:

the answer is 13

Answer:

11

Step-by-step explanation:

22x = 2 · 11 · x

33 = 3 · 11

common factor to both is 11

Answer:

a

Step-by-step explanation:

The average speed in feet per hour will be;

⇒ 942.85 feet per hour

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Distance = 22 inches

Time = 7 seconds

Now,

Since, A tortoise moves at a speed of 22 inches in 7 seconds.

Hence, Distance = 22/12 feet

And, Time = 7 / 3600

Thus, The average speed = (22/12) / (7/3600)

                                        = 22 × 3600 / 12 × 7

                                        = 942.85 feet per hour

Therefore, The average speed in feet per hour will be;

⇒ 942.85 feet per hour

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Answer:

Step-by-step explanation:

y = 5x is the reference line (as best as I can interpret " y = 5* - .").

We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.

Parallel lines will have the same slope as the reference line, in this case m=5.  Our new line will take the form of y=5x+b.  An important difference is that the new line must go through (2,6).  We need to find a value of b that will make that work.

Use y=5x + b with point (2,6) and solve for b:

6 = 5*(2) + b

b = -4

The line that is parallel to y=5x and goes through the point (2,6) is thus:

y = 5x - 4

See the attachment.

The equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

The general equation of a straight line is of the form -

y = mx + b

where -

[m] is slope of line

[b] is y - intercept

Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).

The equation of line [d] in the slope intercept form can be derived as follows -

Slope of line [c] = Slope of line [d]  (parallel lines)

m[d] = 5

Assume the equation of line [d] as -

y = m[d]x + b

6 = 5 x 2 + b

b = 6 - 10

b = - 4

The equation will be -

y = 5x - 4

Therefore, the equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

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Answer:

20

Step-by-step explanation:

Distance formula =

x={sq rt} of (x2-x1)^2 + (y2-y1)^2

{sq rt} (-7-5)^2+ (-7-9)^2 = {sq rt} (-12)^2 + (-16)^2 = {sq rt}

144+256= {sq rt} 400

{sq rt} 400 = 20

(I think its been a hot sec since I did distance formula stuff)

Answer:

20

Step-by-step explanation:

You can use the distance formula

sqrt(((5--7)^2)+((9--7)^2)) = 20

Answer:

x = -2

y = -6

Step-by-step explanation:

x - 4 = 4x + 2

-4 = 3x + 2

-6 = 3x

x = -2

y = -2 - 4;  y = -6

Answer:  1979 students.

Step-by-step explanation:

We are told that 3/4  (75% or 0.75) of total students voted, which amounted to 1484 votes.

Letting X be the total number of students, we can write that as:

 (0.75)X = 1484

X = 1978.67 total students

Now I know one classmate who wasn't all there, but I suspect even he isn't counted as 0.67 of a student.  So round to the nearest whole number, 1979 students.

Answer:

A. 9

Step-by-step explanation:

Multiply 3x with x+2

3x(x+2)

Which is 3x^2+6x

Now substitute x with 1

1^2 is 1

3 times 1 is 3

6 times 1 is 6

3+6 is 9

Thus A.

Hope this helps!

Answer:

18900

Step-by-step explanation:

I Can't Believe There Still Work It's Christmas Break

Answer:

(-1, 2.5) is correct

Step-by-step explanation:

Given

Let A(1, 1)

Let B(1, 4)

Let C(-3, 4)

Let coordinates of the circumcenter is (x, y)

Using distance formula  put the y value in this equation

So the coordinates of the circumcenter is (1, 2.5)

Step-by-step explanation:

Sorry it's so long.

[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]

Answer:

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer

Step-by-step explanation:

We are given –

Now put the values –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 9y - 3x + 6y -13[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 -(9 \times -3) -(3 \times 9) +(6 \times -3) -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 + 27 -27 -18 -13 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 +\pink{\cancel{27}}-\pink{\cancel{27}} -31[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf-22[/tex]

________________________________________

Answer:

Step-by-step explanation:

In the question we have given an expression and values of x and y that is 9 and -3 respectively and ,

We have asked to find the value of x - 9y - 3x + 6y -13 by substituting values of x and y .

[tex] \longmapsto \:x - 9y - 3x + 6y -13[/tex]

So , Substituting the values of x and y ,

[tex] \longmapsto \: 9 - 9 \bold{( - 3)} - 3\bold{(9)} + 6\bold{( - 3)} - 13[/tex]

Now , calculating the values ,

[tex] \longmapsto \: 9 + 27 - 27 - 18 - 13[/tex]

[tex] \longmapsto \: 9 + \cancel{ \red{27}} - \cancel{ \red{27 }}- 18 - 13 [/tex]

[tex] \longmapsto \: 9 - 31[/tex]

[tex] \longmapsto \: \pink{\boxed{- 22}}[/tex]

Answer:

A

Step-by-step explanation:

hope this helped

Answer:

4y = -3x - 8

Step-by-step explanation:

Answer:

You can't really determine anything here, as we'd need to know also the value of F(x)! Check again if there misses anything in this question.

Answer: Polynomial

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: x=2

Step-by-step explanation: 28/4-5= 2

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Now let's solve the given question ~

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~

Answer:

-3 to -infinity

Step-by-step explanation:

Answer: The rate of change decreased.

Step-by-step explanation:

Answer: C 1/2mL LMN= mL LMO

Step-by-step explanation: because 2/76 is 38 C is the right answer