FREE BRAINlIEST IF CORRECT: Find an equation of the perpendicular bisector of the segment AB with endpoints A(1, 2) and B(–3, 4). If the perpendicular bisector of AB intersects the x‑axis at point P, what are the lengths of PA and PB ?

By taking x as a common factor we get:

2x - 1 + 3x = 0

(2 + 3)*x - 1 = 0

5x - 1 = 0

Let's start with equation A, it is:

2x - 1 + 3x = 0

If we group like terms, we will get:

(2x + 3x) - 1 = 0

Now we can take x as a common factor in the left term, so we get:

(2x + 3x) - 1 = 0

(2 + 3)*x - 1 = 0

Now we simplify the sum in the left term:

(2 + 3)*x - 1 = 0

5x - 1 = 0

This is equation B.

Learn more about common factors:

https://brainly.com/question/219464

#SPJ1

The length, [tex]x[/tex], of the other base, in meters is 10.

The area of trapezoid = 24 square meters

The altitude = 4 meters

The length of one base = 2 meters

We have to find the length [tex]x[/tex] of the other base in meters.

To find the value of the length [tex]x[/tex] we use formula of area of trapezoid.

We use the area of trapezoid to find the value of length [tex]x[/tex] because we know the value of area of trapezoid, length of one base and altitude.

As we know the formula of area of the trapezoid

[tex]A=\frac{a+b}{2}\times H[/tex]

In the formula,

[tex]A=[/tex] area of trapezoid

[tex]a[/tex] and [tex]b[/tex] are the two length of two different base of the trapezoid

[tex]H=[/tex] height or altitude of the trapezoid

From the given question, [tex]A[/tex] = 24 square meters, [tex]a=x[/tex] meter, [tex]b[/tex] = 2 meters and [tex]h[/tex] = 4 meters.

Now putting the values in the formula.

[tex]24=\frac{x+2}{2}\times 4[/tex]

[tex]24=(x+2)\times 2[/tex]

Divide by [tex]2[/tex] on both side

[tex]\frac{24}{2} =\frac{(x+2)\times 2}{2}[/tex]

[tex]12=x+2[/tex]

Subtract [tex]2[/tex] on both side

[tex]12-2=x+2-2[/tex]

[tex]10=x[/tex]

[tex]x=10[/tex]

Hence, the length, [tex]x[/tex], of the other base, in meters is 10.

To learn more about trapezoid link is here

https://brainly.com/question/21025771

#SPJ1

For the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.

As given in the question,

Let x be the number of dimes

Then number of nickels are 8x.

As per given condition,

Total number of dimes and nickels = 18

⇒ x + 8x = 18

⇒ 9x = 18

⇒ x= 2

Number of dimes =2

Number of nickels = 8(2)

                             = 16

Conversion:

1 dime = 0.10$

1 nickel = 0.05$

Total amount of money in dollars

= 2 ×(0.10) + 16× (0.05)

= 0.20 + 0.80

= 1.00

Therefore, for the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.

Learn more about dimes here

brainly.com/question/14534255

#SPJ1

Answer:

always go with C- trust me its helped me alot

Step-by-step explanation:

(f+g)(x) = x2+4x−4

Explanation: add them together

f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4

The width of the cooling tower at the base of the structure is (D) 40 meters.

Now, calculate the cooling tower's width:

Equation: x2/400 given (y-90)

Calculating the width:

Therefore, the width of the cooling tower at the base of the structure is (D) 40 meters.

To learn more about cooling towers refer to:

brainly.com/question/27928405

#SPJ4

Dilation factor is 3/2.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. According to Math Bits Notebook, the scale factor is equal to the ratio of these distances.

Given,

OQ = 10

OQ' = 15

Let dilation factor be r

OQ ×r = OQ'

10× r = 15

r = 3/2

Dilation factor is 3/2.

Coordinates of P  = (-4, -3)

Coordinates of P' = (-6, -4.5)

b) ΔOPQ ≅ ΔOP'Q'

Congruent,

[tex]\frac{OQ}{OQ'}[/tex] = [tex]\frac{PQ}{P'Q'}[/tex]

[tex]\frac{10}{15}[/tex] = [tex]\frac{PQ}{11.2}[/tex]

PQ = 7.46

To learn more about dilation factor, visit:

https://brainly.com/question/10617018

#SPJ13

Answer:

We have been given an equation . We are also told that x is greater than 0. We are asked to choose the equation that can be written as our given equation.

Since x is greater than, so we will take positive root on both sides of our given equation as:

Upon looking at our given choices, we can see that option C is same as our answer.

Step-by-step explanation:Therefore, option C is the correct choice.

Answer:2=x

Step-by-step explanation:

x+4=x^2

0+4=x^2

Square root 4 = square root x^2

2=x

If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.

The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.

For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Mathematically, the above statement is expressed as follows:

W = (F cos θ) d = F. d

To learn more about work, refer;

https://brainly.com/question/18094932

#SPJ13

Step-by-step explanation:

I wrote it on paper. I hope this is helpful

Answer: do c to my very ecucated guess bc c is always right

Step-by-step explanation:

Step-by-step explanation:

a) The linear regression equation is y = 1.360x + 6.540

b) The linear regression equation is y = -0.8909x + 37.59

Given,

a) The data;

Time in years, x ; 1, 1.5, 3, 5, 6, 7, 8.5, 10

Price, y ; 8, 9.75, 10.25, 11.80, 13.90, 17, 18, 20.75

We have to find the linear regression equation to the above given data.

We can use regression calculator ;

There are 8 xy pairs.

The linear regression equation is;

y = 1.360x + 6.540

b) The data

Time in years, x ; 1, 1.5, 3, 5, 6, 7, 8.5, 10

Price, y ; 32.5, 35, 37.3, 36.4, 35.7, 32.4, 29, 25

We have to find the linear regression equation to the above given data.

We can use regression calculator ;

There are 8 xy pairs.

The linear regression equation is;

y = -0.8909x + 37.59

Learn more about regression equation here;

https://brainly.com/question/29272615

#SPJ1

The coordinates of the trapezoid  RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5), and U(-13,-9) after dilation with scale factor of k= 1/4 are

Data gotten from the question

Dilation refers to an increment or reduction in dimension and location of a preimage to get a new image

The coordinate of the image of dilation is gotten using the formula

x₂ = kx₁ - x₀(k - 1) for x coordinate

y₂ = ky₁ - y₀(k - 1) for y coordinate

definition of terms

terms with subscript 2 is corresponding to the image

terms with subscript 1 is corresponding to the preimage

terms with subscript 0 is corresponding to the center of dilation

\k = scale factor

R(-13, 7) ⇒ R'(-7, -2)

x₂ = 1/4 * -13 - -5(1/4 - 1) = -7

y₂ = 1/4 * 7 - -5(1/4 - 1) = -2

S(-1, 7)  ⇒ S' (-4, -2)

x₂ = 1/4 * -1 - -5(1/4 - 1) = -4

y₂ = 1/4 * 7 - -5(1/4 - 1) = -2

T(-1, -5) ⇒ T' (-4, -2.5)

x₂ = 1/4 * -1 - -5(1/4 - 1) = -4

y₂ = 1/4 * -5 - -5(1/4 - 1) = -2.5

U(-13,-9) ⇒ U' (-7, -6)

x₂ = 1/4 * -13 - -5(1/4 - 1) = -7

y₂ = 1/4 * -9 - -5(1/4 - 1) = -6

Learn more about coordinate of the image of dilation at:

https://brainly.com/question/16953369

#SPJ1

Step 1

Given; A graph

Required; To find f(-4)

Step 2

The graph at x=-4 has a removable discontinuity. Therefore we can then conclude that f(-4) is undefined.

Hence, f(-4) is undefined

A removable discontinuity is a point on the graph that is undefined or does not fit into the rest of the graph.

By the Distributive Property, the expression is 7h - 70

From the question, the expression is given as

7(h − 10)

As a general rule, the Distributive Property of algebra states that

a(b - c) =a * b - a * c

Using the above as a guide, we have

a = 7, b = h and c = 10

Substitute a = 7, b = h and c = 10 in the equation a(b - c) =a * b - a * c

So, we have

7(h − 10) =7 * h - 7 * 10

Evaluate

7(h − 10) =7h - 70

Hence, the simplified expression is 7h - 70

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

Question: Troy made 5 out of 7 jumps on his dirt bike. What percentage of jumps did he make?

Answer:

Note that, the 7 jumps are 100 percent of the jumps. Therefore, we make a rule of three, that is:

that is equivalent to say the following equation:

percentage of jumps = (5x 100%) ÷ 7 = 500% ÷ 7 = 71.42 = 71,3

that is, approximately 71 %

9x + 6 - 4x - 2x + 1 - 15

9x - 4 x- 2x = (9-4-4)x = 3x

6 +1 -15 = -8

____________

Answer

3x -8

______________

Please tell me if you can see the updates

ok

________________

Answer:

C)

Step-by-step explanation:

elimination is not substitution.

therefore, A and B are out.

D does not work, because in the described way the x terms don't get different signs, and the addition does not eliminate any variable.

C brings both y terms to the same absolute value, and their signs are different, so the addition will eliminate the y terms leaving us with one equation in x that we can solve :

15x + 12y = 21

8x - 12y = 12

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

23x 0 = 33

23x = 33

x = 33/23

Answer:

a is the right answer for you

An exponential function has the form

Therefore, to find an exponential function that satisfies our condition, we need to find a and b.

From f(-2) = 1, we have

and from f(7) = 63, we have

Solving for a in equation (1) gives

substituting this value of a into equation (2) gives

With the value of b in hand, we now find the value of a:

Hence, the exponential function is

Evaluating the above function at x = 1 gives

which is our answer!

From the question, we are asked to find which is great between 12.5 or |-13|

recall:

|-13|

The absolute value is the distance between a number and zero. The distance between -13 and 0 is 13.

The absolute symbol makes any number positive.

So, |-13| is the greater because |-13| = 13.

So, between 12.5 and |-13|, |-13| is greater since it is same as 13.

The correct option regarding the ratio is given as follows:

For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.

A ratio of an amount a over a total amount a + b is given as follows:

r = a/(a + b) = a:b.

In the context of this problem, the ratio is given as follows:

r = 3:2.

Hence the number of equal parts is given by:

equal parts = 3 + 2 = 5.

The length of the segment is:

B - A = 6 - (-4) = 10 units.

Hence the length of each equal part is:

length equal part = 10/5 = 2.

The point that is 3/5 of the way from point -4 to point 6 is found as follows:

x - (-4) = 3/5(6 - (-4))

x + 4 = 30/5

x + 4 = 6

x = 2.

Meaning that the correct option is given by the last one.

The coordinates of A and B are missing, and they are given as follows:

More can be learned about ratios at https://brainly.com/question/3514880

#SPJ1

Answer:

[tex]-48x^2 - 144x[/tex]

Step-by-step explanation:

[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =12x(-4x-12) \\ \\ =-48x^2-144x[/tex]

The most appropriate choice for ascending order will be given by-

[tex]-\sqrt{25}[/tex], 4.79, [tex]4\frac{19}{28}[/tex], [tex]4.\bar{8}[/tex] is in ascending order

What is ascending order?

Suppose there is a series of numbers. The numbers will be in ascending order if the numbers are arranged from their least value to their greatest value.  

The sorting of numbers in ascending order plays a very important role in statistics for calculation of median, quartiles, decile and percentile.

Here,

4.79 = 4.79

[tex]4\frac{19}{28} = 4 + \frac{19}{28} = 4.68\\[/tex]

[tex]4,\bar{8} = 4.8888..... = 4.89[/tex]

[tex]-\sqrt{25} = -5[/tex]

-5< 4.68< 4.79< 4.89 is in ascending order

So, [tex]-\sqrt{25}[/tex]< [tex]4\frac{19}{28}[/tex]< 4.79, [tex]4.\bar{8}[/tex] is in ascending order.

To learn more about ascending order, refer to the link-

https://brainly.com/question/282796

#SPJ9

The value of the function f(−2/3) will give the value 8/3.

A function is important to show the expression that's given.

Given: f(x) = 3x^2 −5x−2.

To find f(-2/3), we substitute x = -2/3  into the equation:

f(-2/3) = 3 x (-2/3)^2  - 5(-2/3) - 2

         = 3 x 4/9 + 10/3 -2

         = 12/9 + 10/3 - 2

         = (12 + 30 - 18) / 9

         = 24 /9

        = 8/3

Therefore, f(-2/3) evaluates to 8/3.

Learn more about function on:

https://brainly.com/question/4025726

#SPJ1

Answer:1700

Step-by-step explanation:

Answer:

5/42 or 0.1190

hope this helps :)

The triangle have shorter sides of 12.9 and 14.9 cm, respectively

From the question, the given parameters are:

Also, from the question, we have:

Two shaded sides of the triangle differ by 2

In this case, the shaded sides of the triangle are

Opposite and Adjacent

This can also be interpreted as

Base and Height

So, we have

Base - Height = 2

The area is calculated as

Area = 0.5 * Base * Height

So, we have

0.5 * Base * Height = 96

This gives

0.5 * (Height + 2) * Height = 96

Divide by 0.5

(h + 2) * h = 192

Using a graphing calculator, we have

h = 12.9

Substitute h = 12.9 in Base - Height = 2

Base - 12.9 = 2

Evaluate

Base = 14.9

Recall that the Opposite and Adjacent are the shorter sides of a right triangle

Hence, the shorter sides are 12.9 and 14.9 cm

Read more about right-angled triangle at

https://brainly.com/question/1248322

#SPJ1

Answer:

Length in inches → 11

1 inch = 2.5 centimeters

Length in Centimetres → 11 × 2.5 → 27.5 cm

The height of the barometer on Sunday = 34.8 inches

How is the barometer height on Sunday calculated?

Consider the barometer height for one week,

The average height of a barometer during one week = 30.84 inches

The total height of a barometer during one week = 30.84 * 7

                                                                                  = 215.88

Consider the barometer height for 6 weekdays,

The average height of a barometer for 6 weekdays of the same week= 30.18 inches

The total height of a barometer for 6 weekdays = 30.18 *6

                                                                                =181.08

The barometer height  on Sunday = One week height- 6 days height

                                                         =215.88 - 181.08

                                                         =34.8  inches

What is a height?

To learn more about height, refer:

https://brainly.com/question/73194

#SPJ4

The most appropriate choice for area of rectangle will be given by-

a) Area of the wall =  [tex]26508[/tex] [tex]in^2[/tex]

b) Area of wall left uncovered = [tex]25347[/tex] [tex]in^2[/tex]

What is area of rectangle?

Area of rectangle is the total space taken by the rectangle. If l is the length of the rectangle and b is the breadth of the rectangle, then area of the rectangle is given by

Area = [tex]l \times b[/tex]

Here,

Width of the wall = [tex]15\frac {2}{3}[/tex] feet = [tex]\frac{47}{3}[/tex] feet

Height of the wall = [tex]\frac{3}{4} \times \frac{47}{3}[/tex] feet

                               = [tex]\frac{47}{4}[/tex] feet

a) Area of the wall = [tex]\frac{47}{3} \times \frac{47}{4}[/tex] [tex]ft^2[/tex]

                               =[tex]\frac{2209}{12} \times 12 \times 12[/tex] [tex]in^2[/tex]

                               = [tex]26508[/tex] [tex]in^2[/tex]

b) Length of painting = [tex]40 \frac{1}{2}[/tex]  in = [tex]\frac{81}{2}[/tex] in

Breadth of painting = [tex]28\frac{2}{3}[/tex] in = [tex]\frac{86}{3}[/tex] in

Area of painting = [tex]\frac{81}{2} \times \frac{86}{3}[/tex] [tex]in^2[/tex]

                           = [tex]1161[/tex] [tex]in^2[/tex]

Area of wall left uncovered = (26508 - 1161) [tex]in^2[/tex]

                                             = 25347 [tex]in^2[/tex]

To learn more about area of rectangle, refer to the link-

https://brainly.com/question/25292087

#SPJ9