find (a) pq to the nearest tenth and (b) the coordinates of the midpoint of pq p(2,2) q(-3,-6)

Answers

Answer 1

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-3 - 2]^2 + [-6 - 2]^2}\implies PQ=\sqrt{(-5)^2+(-8)^2} \\\\\\ PQ=\sqrt{25+64}\implies PQ=\sqrt{89}\implies \boxed{PQ\approx 9.4}[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 + 2}{2}~~~ ,~~~ \cfrac{ -6 + 2}{2} \right)\implies \left(\cfrac{-1}{2}~~,~~\cfrac{-4}{2} \right)\implies \left( -\cfrac{1}{2}~~,~~-2 \right)[/tex]


Related Questions

If 15% of 200 apples are bad, how many apples are bad?

Answers

given:

apples= 200

bad apples= 15%

to find:

how many apples are bad.

solution:

[tex] 200 \times \frac{15}{100} [/tex]

[tex] = 30[/tex]

therefore, there are 30 bad apples.

PLEASE HELP!!!!!! IMA DESPRATE!!!!!!
Identify the correct graph for the given quadratic function.
f(x) = x2 − 1

Answers

The graph of y = x^2 - 1 has a vertex at (0,-1) and open upwards and it is represented by the graph 1

How to determine the graph of the function?

The equation is given as:

y = x^2 - 1

Express as a vertex function

y = (x - 0)^2 - 1

The above means that the function has a vertex of (0,-1) and it opens upward

The graph that has a vertex at (0,-1) and open upwards is the graph 1

Hence, the graph of y = x^2 - 1 is (a)

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Please solve with explanation (high points)

Answers

Answer:

∠ACB =  24.35°

Step-by-step explanation:

∠ACB basically means ∠C

tangent = opposite / adjacent

tanx = 5.62 / (3.54 + 3.86 + 5.02)

you are adding all these to get the total of the base length

tanx = 5.62 / 12.42

x = arctan(5.62 / 12.42)

x = 24.34654°


When you half a whole number that ends in 6, you always get a number
ends in 3."

Answers

Answer:

This actually is false, it doesn't always work.

Step-by-step explanation:

Such as,

256 x 1/2 =

128.

The last digit isn't a 3, it's an 8.

Another Example,

176 x 1/2 =

88.

The last digit is also an 8 here, and not a 3.

It does work for some equations, but not for most of them, hope this helps!

to
Integrate 4√x^5 directly

Answers

Answer:

here the answer ask if theres any prob

PLS HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

0.029, 0.23, 25%, 0.66, 2/3

QUADRATIC FORMULA
11. The current World Record for the Track event Shot Put is 23.37 meters - meaning the Shot landed
23.37 meters from where it was launched (DO NOT USE THIS VALUE FOR THE EQUATION).
The path of the Shot thrown by an athlete during a track meet can be modeled by the Quadratic Equation
h(t) = -0.09c2 + 2t + 1.67 where he represents its height in meters and m represents the horizontal
distance in meters. How far did the Shot land from where it was thrown? Substitute 0 for h in your Equation
in order to find the horizontal distance from where this Shot was lauchedlaunched.

Answers

Answer:

  23.028 meters

Step-by-step explanation:

We presume your quadratic equation is intended to be ...

  h(m) = -0.09m² +2m +1.67

where h(m) is the height in meters, and m is the horizontal distance in meters. You want to find the positive value of m when h = 0.

__

The quadratic formula tells you the solution to ...

  ax² +bx +c = 0

In your equation, a = -0.09, b = 2, c = 1.67, and the variable is m. The solutions given by the formula are ...

  [tex]m=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-2\pm\sqrt{2^2-4(-0.09)(1.67)}}{2(-0.09)}\\\\=\dfrac{2\pm\sqrt{4+0.6012}}{0.18}\approx\{-0.806,23.028\}[/tex]

The shot landed about 23.028 meters from where it was thrown.

_____

Additional comment

The shot was launched at an angle of about 63.4° from the horizontal. Had a shallower angle been used with the same launch speed (about 16.5 m/s), the shot would have traveled farther. At about 45°, the distance might have been in excess of 29 meters.

What are the slope and y-intercept in the equation y = 7 + 5x + 2x + 4?

Answers

Answer: slope is 7 and y-intercept is 11

Step-by-step explanation:

y = 7 + 5x + 2x + 4

combine like terms

y = 11 + 7x

rearange

y = 7x + 11

slope is 7 and y-intercept is 11

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What is the slope of the line y=7+5x+2x+4? What about the y-intercept?

 

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

     First, we need to combine like terms:-

                [tex]\Large\text{y=7+4+5x+2x}[/tex]

[tex]\bigstar[/tex] On simplification,

              [tex]\Large\text{y=11+7x}[/tex]

[tex]\bigstar[/tex] We can rearrange the terms a little:-

                        [tex]\Large\textit{y=7x+11}[/tex]

Now we can easily determine the slope and the y-intercept of the line.

                    Slope = number multiplied by x

                     y-intercept = a number added to or subtracted from x

Henceforth, we conclude that

                [tex]\Large\text{Slope=7 \& y-intercept=11}[/tex]

Good luck with your studies.

#TogetherWeGoFar

       [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

solve for x 8 (x-1) = -4x + 136

Answers

Answer:x=12

Step-by-step explanation:
8(x-1)=-4x+136
8x-8=-4x+136
8x+4x=136+8
12x=144
X=144:12
X=12
Hope its help u thanks

PLS HELP MEEE I NEED TO TURN THIS IN

Answers

Answer:

150 laptops because 70% of the total devices are laptop computers and desktop computers so the remaining 30% of the devices are tablet. 500×0.30= 150.

Volume with fractions is confusing. ​

Answers

Answer:

V≈0.064

Tip:

just to help you for future note with finding volume with fractions is you use a calculator and do the top divided by the bottom and it should give you a decimal

Solve equation
-8n+7(8+3n)=-16+4n

Answers

Answer:

-8

Step-by-step explanation:

Solve equation

-8n + 7 * (8 + 3n)= -16 + 4n

-8n + 56 + 21n = -16 + 4n

13n + 56 = -16 - 56

13n -4n = -16 - 56

9n = -72

n = -72 : 9

n = -8

The sum of the measures of five exterior angles of a hexagon is 284. What’s the measure of the sixth angle?

Answers

Answer:

76°

The sum of the measures of five exterior angles of a hexagon is 284. What’s the measure of the sixth angle?

Step-by-step explanation:

the sum of all exterior angles in any polygon is 360°.

So

360° - 284 = 76°

Solve for the value of x

Answers

Answer:

x = 7

Step-by-step explanation:

I've attached my work

- im yellow is what the name of the angle is

   - in green is what to do with it

- In blue is me checking my work by plugging x back in

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Can Wendell make a triangular garden using pieces D, E, and F? Why or why not?

Answers

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.

What is the construction of the triangle?

The process of making a triangle is known as the construction of the triangle.

Wendell makes a triangular garden using pieces D, E, and F.

Where D, E, and F may be a side of the triangle or angle of the triangle.

To make a triangle we need at least one side of the triangle.

If all the angles of the triangle is given then we can not make a triangle because the side of the triangle is unknown.

More about the construction of the triangle link is given below.

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Answer:

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F. 

Step-by-step explanation:

look at this diagram A: what fraction is shaded B:What Percentage Is Shaded 6/9 is shaded
its a triangle:)

Answers

Answer:

Fraction is 6 over 9 percentage is 0.54%

Hope This Helped

Work out 15% of £24 please

Answers

Answer:

£3.6

Step-by-step explanation:

24 = 100% ; x = 15%

Let's make it simple

[tex]\frac{x}{24 } = \frac{15}{100} ; x = 24.15/ 100 ; x=3.6[/tex]

A summer camp rewards campers and counselors with badges. The camp orders 200 badges. They plan to give 25 badges to counselors. They ordreed at least 3 badges for each camper.

a. How many campers could be at the camp?

b. Are all the values on the graph of c is less than or equal to 58 possible solutions? Explain.

correct answer gets a brainless

Answers

Answer:

58 campers,

Step-by-step explanation:

you do 200 - 25 then 175 divided by 3

a football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.

Answers

[tex]\large\bold{{Question :}}[/tex]

A football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.

[tex]\large\bold\red{\underline{Solution:}}[/tex]

Here, let's assume no. of matches played be = x

Given,

[tex]\longmapsto{}[/tex](100-60)[tex] \%[/tex] of x = 24[tex]\longmapsto{}[/tex]40 [tex]\% [/tex]of x = 24[tex]\longmapsto{}[/tex][tex]\frac{2x}{5}[/tex] = 24[tex]\longmapsto{}[/tex]x = [tex]\frac{24 \times 5 }{2}[/tex]

[tex]\longmapsto{}[/tex]x = 60

Hence, the number of matches played during the whole year is [tex]\large\bold\red{\underline{60}}[/tex].

Happy Learning : )

What value of x makes the equation 5 = ºx + 3 true?
Vx ?
3
=

Answers

Answer:

  122

Step-by-step explanation:

To solve for x, undo the operations done to it.

__

  5 = ∛(x +3) . . . . . given

  125 = x +3 . . . . . cube both sides of the equation

  122 = x . . . . . . . . subtract 3

Determine the solution set for x.
X + 300 < 450

Answers

The solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

X + 300 < 450

X <  450 - 300   (subtract 300 on both sides)

X <  150

X ∈ (-∞, 150)

Thus, the solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

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The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $10 each and will sell 600 tickets. There is one $1,000 grand prize, two $400 second prizes, and ten $20 third prizes. You just bought a ticket. Find the expected value for your profit

Answers

The expected value of the profit is $-1 when the student council is hosting a drawing to raise money for scholarships

What is probaility?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event

The expected value of any discrete variable X is calculate as:

E(X)=X1*P(X1)+X2*P(X3)+...+X3*P(X3)

Where X1, X2, ..., X3 are the values that the variable can take and P(X1), P(X2), ..., P(X3) are their probabilities.

In this case the variable X is the dollars that can win, so:

X1=$2,000

X2=$300

x3=$20

X4=$0

Then the probabilities can be calculate as:

[tex]P(X_1)=\dfrac{1}{600}\\\\\\P(X_2}=\dfrac{3}{600}\\\\\\P(X_3)=\dfrac{15}{600}\\\\\\P(X_4)=\dfrac{581}{600}[/tex]

Replacing the variables and probabilities on the equation of expected value we get:

[tex]E(X)=(2000\times \dfrac{1}{600})+(300\times \dfrac{3}{600})+(20\times \dfrac{15}{600})+(0\times \dfrac{581}{600})[/tex]

E(X)=$4

Additionally, the student bought a ticket by $5, so the expected profit can be calculate as:

Expected Profit = Expected Earnings - Cost = $4  - $5 = $-1

Finally, the expected value of the profit is $-1

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I need help please I don’t know how to solve this

Answers

Answer:

68 ft^2

Step-by-step explanation:

The shaded region is a square missing a triangle. Thus, the area of the shaded region = area of square - area of triangle

Thus, we get 8*9 - 1/2 * 2 * 4 = 72 - 4 = 68 square feet.

I have been stuck on this question for ever and cant seem to figure it out so if it isnt a big deal for one of you can ya please help.

Answers

Answer:

[tex]d = 24mm[/tex]

Step-by-step explanation:

[tex]c = \pi d[/tex][tex]c = 75.36mm \\ 75.36mm = \pi d \\ d = \frac{75.36}{\pi} \\ d = 24mm[/tex]

What are the solutions of the equation x squared equals 4? Use a graph of the related function.
A. A quadratic function is graphed on a coordinate plane. The parabola passes through the points left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma negative 4 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.

There are two solutions: negative 2and 2.
B. A quadratic function is graphed on a coordinate plane. The parabola passes through the points left parenthesis negative 2 comma 2 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 2 comma 2 right parenthesis.

There are two solutions: plus-or-minus StartRoot 2 EndRoot.
C. A quadratic function is graphed on a coordinate plane. The parabola passes through the points left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 4 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.

There are two solutions: negative 2and 2.
D. A quadratic function is graphed on a coordinate plane. The parabola passes through the points left parenthesis negative 2 comma 8 right parenthesis, left parenthesis 0 comma 4 right parenthesis, and left parenthesis 2 comma 8 right parenthesis.

There are no real number solutions.

Answers

In the graph of quadratic equation, the parabola passes through the points left parenthesis (-2,0) right parenthesis, left parenthesis (0,-4) right parenthesis, and left parenthesis (2,0) right parenthesis.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

The given quadratic equation is,

[tex]f(x)=x^2+4[/tex]

Equate the equation to zero to solve it further,

[tex]x^2=4\\x^2-4=0\\x^2=4\\x=\sqrt{4}\\x=\pm2[/tex]

Thus, the solution of the equation is +2 and -2. The graph of the equation is attached below.

Hence, in the graph of quadratic equation, the parabola passes through the points left parenthesis (-2,0) right parenthesis, left parenthesis (0,-4) right parenthesis, and left parenthesis (2,0) right parenthesis.

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Evaluate the following equations

Answers

Step-by-step explanation:

A....

Solution ,

[tex] = \frac{h - 3}{3} = 3h \\ [/tex]

[tex] = h - 3 = 9h[/tex]

[tex] = h - 3 - 9h = 0[/tex]

[tex] = h - 9h = 3[/tex]

[tex] = - 8h = 3[/tex]

Change the sign of both side

[tex] = 8h = - 3[/tex]

[tex] = h = - \frac{3}{8 } \\ [/tex]

B....

Solution,

[tex] = \frac{t}{2} = \frac{t + 1}{5} \\ [/tex]

Multiply the both side by the least common multiple to eliminate the fraction...

[tex] = 5t = 2t + 2[/tex]

[tex] = 5t - 2t = 2[/tex]

[tex] = 3t = 2[/tex]

[tex] = t = \frac{2}{3} \\ [/tex]

The order of rotation for a regular hexagon is?

Answers

Answer:

6

Step-by-step explanation:

The rotational symmetry for a hexagon is 6 as it is a regular polygon.

A principal of $2000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 14 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

Yearly compounding: 7.75% $5,686.85

Quarterly compounding: 7.978% $5,857.78

Monthly compounding: 8.031% $5,898.27

Daily compounding: 8.057% $5,918.20

Step-by-step explanation:

multiply yearly by 14

l need the answer for this question asap!!!

Answers

Answer:A. Domain

The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.

Domain = All reals

B. Range

The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.

Range = y ≤ 1

C. Increasing Interval

A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.

Increasing Interval = [-∞, 2]

D. Decreasing Interval

The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.

Decreasing Interval = [2, ∞]

E. Opening

The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.

Opening = Down

F. Min and Max

A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.

Max = 1




m Enter the number that belongs in
the green box

Answers

Answer:

m<C = 180 - (90+32)

= 180 - 122

= 58°

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