Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ. P(1,4), Q(3,-2)​

Answers

Answer 1

Answer:

a) 6.3; b) (2;1).

Step-by-step explanation:

[tex]a) \ |PQ|=\sqrt{(X_P-X_Q)^2+(Y_P-Y_Q)^2}=\sqrt{4+36}=\sqrt{40} =6.3;[/tex]

[tex]b) \ (\frac{X_P+X_Q}{2};\frac{Y_P+Y_Q}{2}); \ = > \ (2;1).[/tex]


Related Questions

Is this figure a quadrilateral?
a.
c.
Cannot determine.
b.
no


Please select the best answer from the choices provided

A
B
C

Answers

Answer:

Yes its a quadrilateral

Step-by-step explanation:

It has 4 sides

Answer:

yes

Step-by-step explanation:

It is an irregular quadrilateral

Hope this helps

Please assist with a question I am stuck on.

Answers

The two linear equations in this problem are:

a) d(t) = (3.1 mi/h)*tb) t(d) = d/(3.1 mi/h).

How to find the linear equations?

a) First, we know the relation:

distance = speed*time.

In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:

d(t) = (3.1 mi/h)*t

This is the linear equation that gives the distance as a function of time.

b) Now we want to get the time as a function of the distance, so we just need to isolate t,

t(d) = d/(3.1 mi/h).

This linear equation gives the time as a function of the distance d.

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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.
Given right triangle ABC, what is the value of tan(A)?

Answers

Answer:

tan(A) = 12/5

Step-by-step explanation:

Given a right angle triangle ABC.

If ∠BCA = 90°

the hypotenuse AB = 26

AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

Answer:

         [tex]\ tan \ A = \dfrac{24}{10}[/tex]

Step-by-step explanation:

[tex]\sf Tan \ A = \dfrac{opposite \ side \ of \ angle \ A}{adjacent \ side \ of \ angle A}\\\\Tan \ A = \dfrac{BC}{AC}\\\\Tan \ A = \dfrac{24}{10}[/tex]

Rita earns $19.00 per hour. If she gets a 5% raise, what will be her new hourly wage?
A. $19.05
B. $24.00
C. $19.95
D. $18.05

Answers

Answer:

C.

Step-by-step explanation:

Find 5% of 19:

19 x 0.05 = 0.95

0.95 + 19 = 19.95

answer is C. 19.95

If Mrs. Hamm divides 7 pounds of potting soil equally into three flower pots, what is the weight of potting soil in one flower pot? A) 3 7 pound B) 7 3 pounds C) 3 1 7 pounds D) 7 1 3 pounds

Answers

The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have total weight of the potting soil = 7 pounds

It is divided equally into three flower pots.

So each pot contains = 7/3 potting soil

Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

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512=-4(-2)^n-1 find n in geometric sequence

Answers

Answer:

n = 8

Step-by-step explanation:

512/-4 = -128

-2^? equals -128? Has to be odd since it's negative

-2^1 = -2

-2^3 = -8

-2^5 = -32

-2^7 = -128

But it's -2^n-1 = -128 so you have to add 1

7+1 = 8

So n=8

Answer:

n = 8

Step-by-step explanation:

Rearrange the equation to find n:

512/-4 = [tex](-2)^{n-1}[/tex]

-128 = [tex](-2)^{n-1}[/tex]

[tex](-2)^{7}[/tex] = -128

So, n-1 = 7

n = 8

A packet of biscuits is shared between two people so that
one person gets three times as many as the other. Write
down the ratio involved. If there are 20 biscuits in the
packet, how many does each person get?

Answers

Answer:

Ratio 3 : 1

First person 5 biscuits 

Second person 15 biscuits 

Step-by-step explanation:

“one person gets three times as many as the other”  means  “the ratio is 3 to 1 or just 3 : 1”

………………………

Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.

It’s clear that we have to solve this equation:

x + 3x = 20

Solving:

x + 3x = 20

⇔ 4x = 20

⇔ x = 20/4 = 5

Final answer:

First person: 5 biscuits

Second person: 3×5 = 15 biscuits

what is the minimum value of the function 3x^2 -4x +8

Answers

Step-by-step explanation:

f(x)=3x²-4x+8

f(1)=(3*1)²-4(1)+8

f(1)=3²-4+8

f(1)=9-4+8 or using BODMAS

f(1)=5+8 or f(1)=9-12

f(1)=13 or f(1)=-3

A triangle has 2 angles that each measure 79º.
What kind of triangle is it?
O A. isosceles triangle
OB. equiangular triangle
OC. obtuse triangle
OD. right triangle

Answers

Answer: A ; Isosceles Triangle.
Explanation: You have two angles that are equal (79) on each side in which 2 equal angles.

help me with this for 50 points.

Answers

Answer:

1/2 or 1:2

Step-by-step explanation:

3 circles to 6 squares

3/6 simplified is 1/2

Look at the diagram. Which angle is supplementary to A. B. C. D.

Answers

The angles supplementary. to ∠DOC are ∠DOA and ∠COB.

What is supplementary angle?

Two angles are called supplementary when their measures add up to 180 degrees.

1. Take, ∠COB:

So, ∠DOC+ ∠COB = ∠DOB = 180°. (Linear pair)

Hence,  ∠DOC and ∠COB are supplementary.

2. Now, take angle DOA:

∠DOC + ∠DOA = ∠COA = 180°.    (Linear pair)

Thus,  ∠DOC and ∠DOA are supplementary.

Hence, the angles supplementary. to ∠DOC are ∠DOA and ∠COB.

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A legal document contains pages numbered 1 through 50. What is the probability that the lawyer will flip to a page number
that is not a multiple of 4?
• Write your answer in fraction form. Reduce the fraction if necessary.
Provide your answer below:

Answers

Using it's concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

[tex]p = \frac{19}{25}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

[tex]p = \frac{38}{50} = \frac{19}{25}[/tex]

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Question 4 of 10
If a tree diagram were drawn to determine the number of possible outcomes
when choosing one of 3 salads, one of 5 entrées, and one of 9 desserts, how
many leaves would there be?
O A. 17
OB. 45
C. 135

Answers

C. 135

Because 3*5=15 15*9=135

(50 + brainiest if correct!)
From each square we can construct a second square, whose area is double that of the first square.

Construct from the square abcd below a second square, whose area is double the area of ​​the square abcd.

Answers

Answer:

So the first thought would be to make the length and width twice the size of the original square but this would actually cause us to multiply the area by 4.

The second thought was to raise one of the sides to be twice the length or width and that would give us the correct answer since we are just multiplying it by 2.  If side AB is the only one that can move then we would just extend that side twice the original length.

!!!!HELPPPP!!!! if cos theta = - square root 3 over 2 and pi < theta < 3 pi over 2, what are the values of sin theta and tan theta?

will mark Brainliest for correct answers .

i’m in a final pls help

Answers

Answer:

Option 4

Step-by-step explanation:

In Quadrant IV,

tan = +vecos = -vesin = -ve

If cosθ = -√3/2, then :

sinθ = -1/2tanθ = √3/3

Please see attached question 12 of 25

Answers

option d. 37/2 ÷ 17/4 is correct.

Step-by-step explanation:

[tex]18\ \frac{1}{2} \div 4\ \frac{1}{4} [/tex]

If we have equation like this , we have to simply multiply the denominator with the first term and the product we will get , add the numerator .

here we, multiply 2 with 18 and the product will be 36 , 36 + 1 = 37 . Similarly 4×4 = 16 and 16+ 1= 17 .

We have to put denominator as it is.

[tex] = > \frac{37}{2} \div \frac{17}{2} [/tex]

An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

Select the diagrams that would represent the types of animals adopted.
Alt_text
Alt_text
Alt_text
Alt_text
Alt_text
Part B
How many of each type of animals were adopted?

ferrets,
dogs,
cats

Answers

Answer:

there are 3 ferrets,15 dogs,27 cats

Step-by-step explanation:

the ratio of the three

9:5:1

the ferrets,1/15 * 45= 3

the dogs,5/15 * 45= 15

the cats, 9/15 * 45=27

What is the slope of the line?

Answers

Answer:

slope = 2 / 3

Step-by-step explanation:

slope = rise / run

rise = 2

run = 3

slope = 2 / 3

negative using self reported delinquency

Answers

Answer:

Your question does not make sence

Please see attached question I am stuck on.

Answers

By looking at this problem:

  ⇒ must use trigonometric functions:

     ⇒ (look at image attached for further reference)

Let's solve:

For side 'a'

          [tex]sin(10)=\frac{a}{13}\\ a = 13sin(10)\\a=2.25743[/tex]

For side 'b'

          [tex]cos(10)=\frac{b}{13} \\b = 13cos(10)\\b = 12.80250[/tex]

Make sure to round your answer to four decimal points

Answer:

a = 2.2574b = 12.8025

Hope that helps!

solve the equation -8=7x+2/5

Answers

Answer:

-6/5 = x

Step-by-step explanation:

Multiply by 5 to get rid of fractions:
-40 = 35x + 2

Subtract by 2 to get all terms on one side:

-42 = 35x
Divide by 35 to get x term:

-42/35 = x

-6/5 = x

Select the correct answer. A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. Which function describes the difference of the number of components assembled per day by the experienced and new employees? A. B. C. D.

Answers

The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Function N represents the number of components that a new employee can assemble per day.

N(t)=(50t)/(t+4)

Function E represents the number of components that an experienced employee can assemble per day.

E(t)=(70t)/(t+3)

In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,

[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]

Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

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Answer:

D(t)= 10t(2t+13)/ (t+4)(t+3)

Step-by-step explanation:

What is the slope of the line passing through the points (2, 5) and (0, -4)?
Show all your work.
Leave your answer as a fraction

Answers

Answer:

slope = 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - 5/0- 2 = 9/2

Are the triangles similar?

Answers

Answer:

No, because the sides lengths are not proportional.

Step-by-step explanation:

What is the SAS similarity theorem ?

By definition, two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional.

What is the AA similarity theorem ?

If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.

They both have an angle of 70°This lies between sides of 6/9 and 9/18 respectively for the triangles6/9 = 2/3 and 9/18 = 1/2Hence, the sides are not proportionalThey are not similar
No because The side lengths are the same

Need help with this topic

Answers

Answer: 243 ft^2


Explanation:

width = x
length = 3x
P = length + length + width + width
72 = 3x + 3x + x + x
72 = 8x
x = 9

width = x = 9
length = 3(x) = 3(9) = 27

area = (length)(width)
area = (27)(9)
area = 243 ft^2

Please help I’m not sure about this one x=106

Answers

Answer:

Question?

Step-by-step explanation:

where is the Question?

The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was reduced by 20 percent of the price for the previous month. What was the price of the television during the month of Sep- tember?​

Answers

Answer:

0.8

Step-by-step explanation:

multiply 1.00 .20 4 times

which is the graph of f(x)=3√x

Answers

Answer: The first graph

Step-by-step explanation:

It's the first one. I don't know how to explain, haha.

Which is a coeffecient

Answers

Answer:

B is a coefficient

Step-by-step explanation:

Coefficient of 2O2 is 2.

B = 2

Please help thanks! Will give brainiest

Answers

Answer:

Colinear points: Points that lie on the same line.

Coplanar points: Points that lie in the same plane.

Plane: a flat, 2D surface with no height.

1.  Three colinear points:  A, B, E

2. Four coplanar points: A, B, C, E

3. A plane containing E: plane S

4. Two points and a line that lie in Plane T:  Points F & G, Line L

5. Two planes that contain l:  S and T

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