Which point on the y-axis lies on the line that passes through
point C and is perpendicular to line AB?
O(-6,0)
O (0, -6)
O (0, 2)
O (2,0)

Answer:

35

Step-by-step explanation:

To calculate the mean(average) of a data set, add all of the numbers together and then divide by the amount of points you have.

Mean = (16+32+41+54+32)/5 because there are 5 numbers you are adding.

To find the mean of a set of data you must add the data together then divide the sum by the number of data in the set.

Step 1: Adding together the data

16 + 32 + 41 + 54 + 32 = 175

Step 2: Count how many number there are in the data set

There are 5 numbers in this data set

Step 3: Divide the sum of the data by the number of data in the set

175 ÷ 5 = 35

The mean of this data set is 35

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

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

============================================

We have the points (-4, -3) and (12, 1).

Substitute:

[tex]m=d\frac{1-(-3)}{12-(-4)}=\dfrac{4}{16}=\dfrac{1}{4}[/tex]

Put the volume of a slope and the coordinates of the point (12, 1) to the equation of a line:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

The standard formula of an equation of a line:

[tex]Ax+By=C[/tex]

Convert:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]           multiply both sides by 4

[tex]4y-4=x-12[/tex]             add 4 to both sides

[tex]4y=x-8[/tex]             subtract x from both sides

[tex]-x+4y=-8[/tex]         change the signs

[tex]x-4y=8[/tex]

Answer:

B. f(x) =-150+1500

Step-by-step explanation:

Let x represents the number of months and y represents the savings account balance ( in dollars )

Thus, table would be,

x            0              2              4              6

y        1,500       1,200       900          600,

Let the linear function that represents the above table is,

y = mx + c

By the table,

1500 = m(0) + c ⇒ c = 1500,

Again by the table,

1200 = m(2) + c

1200 = 2m + 1500

-300 = 2m ⇒ m = -150

The function would be,

y = -150x +1500

Since, 900 = -150(4) + 1500

600 = -150(6) + 1500

The whole table satisfy the equation y = -150x +1500,

Hence, the linear function that models the given table is,

y = -150x +1500

Option 'B' is correct.

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

drawing from a sample space without replacement is a dependent event. subsequent draws depends on the result of previous draws

Answer:

[1, 1]

Step-by-step explanation:

When you plug in these coordinates, you will see that 4 + 2 = 6.

I am joyous to assist you anytime.

=====================================

How I got that answer:

A sequence is geometric if you are able to divide any term over its prior one and get the same result each time. Note with something like choice A we have...

term2/term1 = 13/6 = 2.17 (approx) and term3/term2 = 19/13 = 1.46

the results 2.17 and 1.46 are not the same, so we can rule out choice A

---------

Choice B however, we have...

term2/term1 = 3/(-3) = -1

term3/term2 = -3/3 = -1

term4/term3 = 3/(-3) = -1

each time we get -1, so this is the common ratio. We can multiply each term by the common ratio -1 to get the next term, for instance,

term2 = (common ratio)*(term1) = -1*(-3) = 3

term3 = (common ratio)*(term2) = -1*3 = -3

and so on. This proves that sequence B is geometric. Sequences C and D are not geometric for similar reasoning to choice A.

Check the picture below.

Answer:

A.

Step-by-step explanation:

The slope would be -2/3 and the y-intercept is -6

For this case we must indicate the graph of the following equation:

[tex]-6x-9y = 54[/tex]

Adding 6x to both sides we have:

[tex]-9y = 54 + 6x[/tex]

Dividing between -9 on both sides:

[tex]y = \frac {54} {-9} + \frac{6x} {-9}\\y = -6 - \frac {2} {3} x[/tex]

For an equation of the form[tex]y = mx + b[/tex], the slope is given by "m" and the point of intersection with the y axis is "b".

In this case we have that[tex]b = -6[/tex] and[tex]m = -\frac {2} {3}[/tex]. The slope is negative. So, the corresponding graph is option A

Answer:

Option A

Answer:

I believe it's a scalene triangle

D. Scalene

Hope this helps

Step-by-step explanation:

Scale = No equal sides and No equal angles

Answer:

0.0002

Step-by-step explanation:

0.00021 is a 2 significant figure .after the decimal point the zero can be counted as a significant figure or not ,it depends

Answer:

0.0002.

Step-by-step explanation:

The first significant figure is 2 and since 1 is the second significant figure  ( 1 is < 5) the 2  is retained.

Answer:

The approximate solution is: x = -2.29; y = 0.46

Step-by-step explanation:

8x - 10y = -23

9x + 10y =-16

Since you have -10y in one equation and 10y in the other equation, add the equations to eliminate y and solve for x.

17x = -39

x = -39/17

Now substitute -39/17 for x in the first equation, and solve for y.

8(-39/17) - 10y = -23

-312/17 - 10y = -391/17

-10y = -79/17

y = 79/170

The exact solution is x = -39/17; y = 79/170

The approximate solution is: x = -2.29; y = 0.46

Without additional context or a diagram, it is not possible to determine the measure of angle XYZ from the information provided.

You have asked for the measure of angle XYZ but did not provide a specific diagram or context for angle XYZ. To determine the measure of an angle, one would typically need additional information such as the measures of other angles, the type of geometric figure involved, or an algebraic expression representing the angle.

Based on the information given, which does not directly provide an angle measure for XYZ, it is not possible to accurately determine the measure of angle XYZ. The listed measures (30.1°, 48.7°, 31.1°, 23.6°, 53.1°, etc.) represent other angles or calculations from different problems and cannot be used to infer the measure of angle XYZ without additional context.

Answer:

1045 females

Step-by-step explanation:

First, lets calculate how many males there are.

52.5% of 2200 = 1155

Then, calculate the difference between the males and the total.

2200-1155=1045

Have a wonderful day!

There are 1045 female students in the school

The proportion of male students is given as:

Male proportion = 52.5%

This means that the female proportion is:

Female = 100% - 52.5%

Female = 47.5%

The number of  female students is then calculated as:

Female = 47.5% * 2200

Evaluate

Female = 1045

Hence, there are 1045 female students in the school

Read more about proportions at:

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Answer:

A) 0.9(sin50)

Step-by-step explanation:

Since this is a right triangle, we can use

sin a = opposite side/ hypotenuse

sin 50 = x /.9

Multiply each side by .9

.9 * sin 50 = x/.9 * .9

.9 (sin 50) = x

Answer:

[tex]\large\boxed{y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\==========================\\\\\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\==========================\\\\\text{We have the equation of the line:}\ y=2x+17\to m_1=2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.\\\\\text{The equation of a line:}\ y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.[/tex]

Answer:

$17.85

Step-by-step explanation:

Let the dollar amount per shirt be represented by s.

Let the dollar amount per pants be represented by p.

You have the following system:

3s+2p=104.81

2s+1p=61.33

If I multiply the bottom equation by -2, I can set the system up for elimination since the equations are already and the same form and I will have 2p and -2p in the same column there.  2p+(-2p)=0

Multiplying equation 2 by -2:

3s+2p=104.81

-4s-2p=-122.66

-----------------------Add the equations:

-1s      =-17.85

Multiply both sides by -1:

s=17.85

So one shirt cost $17.85

Answer:

Step-by-step explanation:

The unknown [tex]x[/tex] and the numbers are mixed in the given equation. However, in the desired equation, the left-hand side contains only the unknown while the right-hand side contains only numbers.

Start with the given equation. That's statement 1.

The question chooses to move the number [tex]-2[/tex] from the right-hand side of the equation to the left-hand side in statement 2. This change can be done by adding [tex]2[/tex] (the opposite of [tex]-2[/tex]) to both sides of the equation.  

In statement 3, The question moves the term with the unknown [tex]4x[/tex] from the left-hand side of the equation to the right-hand side. This change can be done by adding [tex]-4x[/tex] (the opposite of [tex]4x[/tex]) to both sides of the equation.

The coefficient of the unknown [tex]x[/tex] in statement 3 is [tex]2[/tex]. In statement 4, the question turns this coefficient into [tex]1[/tex]. This change can be done by dividing both sides by the coefficient of [tex]x[/tex]. Keep in mind that multiplying both sides with the reciprocal of that coefficient, [tex]1/2[/tex], will achieve the same effect.

By the symmetric property of equality, [tex]a = b[/tex] if and only if [tex]b = a[/tex]. In other words, if [tex]3/2 = x[/tex] is true, [tex]x = 3/2[/tex] must also be true. That leads to statement 5.

Answer:

x = 20

Step-by-step explanation:

The converse of the same side exterior angles theorem states that when two same side exterior angles are supplementary, the two lines they are on are parallel.

So that means that 5x + 9 and 3x + 11 are supplementary.

Therefore, 5x + 9 + 3x + 11 = 180.

Add like terms: 8x + 20 = 180

Subtract: 8x = 160

Divide: x = 20

Answer:

*To be honest, we have a bunch of ways to find x, but I'm only going to use one.

So in order for A║B, we need the outer angle of these two lines but on the opposite sides to be equal, which means:

   5x + 9 = 180 - (3x + 11)

⇔ 5x + 3x = 180 - 9 - 11

⇔ 8x         = 160

⇔ x            = 160/8 = 20

So x is equal to 20.

Step-by-step explanation:

Any line passing through (-3,7) and (6,4) is,

y-y1=(y2-y1) (x-x1)

(x2-x1)

y-7 = (4-7) (x+3)

(6+3)

y-7 = (-3/9)(x+3)

y-7= (-1/3)(x+3)

3y-21=-x-3

x+3y-21+3=0

x+3y-18=0

Which h is the required line.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just as a hint. On this editor, you have to use brackets a lot. We cannot be certain what you mean. I'm going to interpret the question one way, but there are others.

√(5x - 7) = √(3x + 5)

Square both sides.

(√(5x - 7) )^2 = (√(3x + 5) )^2

5x - 7 = 3x  + 5            

Add 7 to both sides.

5x - 7 + 7 = 3x + 5 + 7

Combine

5x = 3x + 12

Subtract 3x from both sides.

5x - 3x = 3x -3x + 12

Combine

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

This confirms that x = 6 is indeed a solution. No other solutions are found, and so x = 6 is the unique solution to the problem.

The solution to the equation (square root 5x-7)= (square root 3x+5) requires squaring both sides to eliminate the square roots and then solving the resulting quadratic equation. We begin by squaring each side:

( square root 5x-7)2 = ( square root 3x+5)2

5x - 7 = 3x + 5

We move all terms to one side to obtain a standard quadratic equation form:

5x - 3x = 5 + 7

2x = 12

x = 6

However, because we squared both sides, we must check the solution in the original equation to ensure it does not produce extraneous solutions. Substituting x = 6 into the original equation, we get:

(square root 5(6)-7) = (square root 3(6)+5)

( square root 30-7) = ( square root 18+5)

square root 23 = square root 23

This confirms that x = 6 is indeed a solution. No other solutions are found, and so x = 6 is the unique solution to the problem.

A piecewise function is a function that is defined by several different formulas depending on the input (x). In this case, the function f(x) is a horizontal line for 0 ≤ x ≤ 20. The equation for this function would be y = constant, for 0 ≤ x ≤ 20, where the constant value is defined by the height of the horizontal line on the graph.

To write the equation of the piecewise function that is represented by a graph, you need to identify the different segments of the function and write a mathematical expression that describes each segment. In your case, the function f(x) is a horizontal line and is only defined between x = 0 and x = 20 (both inclusive). So, if we let y = f(x) be the horizontal line, then for the domain 0 ≤ x ≤ 20, the piecewise function can be written as:

Note that the 'constant' value of y is defined by the height of the horizontal line on the graph. This specification assumes that there are no other pieces to the function outside the range of x = 0 to x = 20.

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Answer:

no

Step-by-step explanation:

There is no consistent scale factor.

Answer:

No

Step-by-step explanation:

For triangles to be similar there must be a proportion between their measurements.

That is, for example if from one triangle to another one side doubled, all other sides must also double.

The triangle side on the left sides measure 1.5, 1 and 2.

In the right triangle the sides measure 0.5, 1 and 1.5

There is no proportion factor that serves to convert all the measures of the first triangle to those of the second triangle.

So the triangles are not similar.

Answer:

10d cents.

Step-by-step explanation:

This is an everyday mathematics question, in which the value of the currency has to be known. It is a fact that:

1 dime = 10 cents and 1 cent = 1/10 dimes

These relationships can be used to determine the value of the dimes in terms of cents and the value of the cents in terms of dimes respectively. In the question, it is given that there are d dimes. Therefore, using the first formula, it can be inferred that:

d dimes = 10*d cents.

So, the value of d dimes in cents is 10d cents!!!

Answer:

9/4

Step-by-step explanation:

x^2+3x

Take the coefficient of the x term, 3

Then divide by 2,  3/2

Then square it  (3/2) ^ = 9/4

This is what you need to add to complete the square

Answer:

Choice D

Step-by-step explanation:

You are given for graphs.

A. This graph is translated graph of the graph of inverse proportion function

[tex]y=\dfrac{k}{x}.[/tex]

B. This graph is the graph of linear function

[tex]y=kx+b.[/tex]

C. This graph is the graph of quadratic function

[tex]y=(x-a)^2.[/tex]

D. This graph is the graph of logarithmic function

[tex]y=\log_ax.[/tex]

Answer:

-2i/15 and 2i/15

Step-by-step explanation:

Difference of Squares:

(15x+2i)(15x-2i)

Answers: -2i/15 and 2i/15

[tex](f-g)(x)=3x+10-(4x-2)=3x+10-4x+2=-x+12[/tex]

Answer:

(10 2/3, 5)

Step-by-step explanation:

1/2 x + 1/3y = 7

1/4x + 2/3y = 6

I do not like fractions so I will multiply the first equation by 6 and the second equation by 12 to eliminate the fractions.

6(1/2 x + 1/3y) = 7*6

Distribute

3x+2y = 42

Now the second

12(1/4x + 2/3y) = 6*12

3x+8y = 72

My system of equation is

3x+2y = 42

3x+8y = 72

Subtracting the second from the first

3x+2y = 42

-3x-8y = -72

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

  -6y = -30

Divide by -6

-6y/-6 = -30/-6

y =5

Substituting into 3x+2y = 42

3x+2(5) = 42

3x+10 =42

Subtracting 10 from each side

3x+10-10 =42-10

3x= 32

Dividing by 3

3x/3 = 32/3

x = 32/3 or 10 2/3

Answer:

10 2/3, 5)

Step-by-step explanation:

1/2 x + 1/3y = 7

1/4x + 2/3y = 6

I do not like fractions so I will multiply the first equation by 6 and the second equation by 12 to eliminate the fractions.

6(1/2 x + 1/3y) = 7*6

Distribute

3x+2y = 42

Now the second

12(1/4x + 2/3y) = 6*12

3x+8y = 72

My system of equation is

3x+2y = 42

3x+8y = 72

Subtracting the second from the first

3x+2y = 42

-3x-8y = -72

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

 -6y = -30

Divide by -6

-6y/-6 = -30/-6

y =5

Substituting into 3x+2y = 42

3x+2(5) = 42

3x+10 =42

Subtracting 10 from each side

3x+10-10 =42-10

3x= 32

Dividing by 3

3x/3 = 32/3

x = 32/3 or 10 2/3

B. 46 feet because 132/12=11 and 12+12+11+11=46

Answer:

f^-1(x) = 9(x+2)

Step-by-step explanation:

To find the inverse function, exchange x and y and then solve for y

y = 1/9 x -2

Exchange x and y

x = 1/9 y-2

Solve for y

Add 2 to each side

x+2 = 1/9 y-2+2

x+2 = 1/9y

Multiply each side by 9

9(x+2) = 9*1/9y

9(x+2) = y

The inverse function

f^-1(x) = 9(x+2)

Answer:

9x+18

Step-by-step explanation:

[tex]f^{-1}[/tex] means they want you to find the inverse function of y=1/9 x-2.

The inverse is just a swapping of x and y.

People tend to remake the y part the subject again because they want to write it as a function.

Let's start:

[tex]y=\frac{1}{9}x-2[/tex]

Swap x and y:

[tex]x=\frac{1}{9}y-2[/tex]

Now it's time to solve for y:

Add 2 on both sides:

[tex]x+2=\frac{1}{9}y[/tex]

Multiply both sides by 9:

[tex]9(x+2)=y[/tex]

Distribute:

[tex]9x+18=y[/tex]

So The inverse function is:

[tex]f^{-1}(x)=9x+18[/tex]