Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. Round the distance to the nearest tenth. P(−4, 1) and Q(0, 7) The midpoint is at M( , ). Question 2 The distance between the two points is about units.​

Answers

Answer 1

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.


Related Questions

how to solve 2x^2 - 4x = 3

Answers

Answer:

1 ± i(1/2)√2

Step-by-step explanation:

Write this quadratic in standard form:  subtract 3 from both sides.  This results in 2x^2 - 4x - 3 = 0.  Let's apply the quadratic formula.  The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.

Following the format of the quadratic formula, we get

     -(-4) ±i2√8       4 ±i2√2        

x = ----------------- = --------------- =  1 ± i(1/2)√2

               4                    4

4 minus 1.2
what is it 2.8 instead of 3.2? ​

Answers

Answer:

2.8 is correct

Step-by-step explanation:

  4.0

-   1.2

The 0 becomes 10

10 - 2 = 8

The 4 becomes 3

3 - 1 =2

2.8

Question 5 options:
The radius of a circle is 18.4 inches. The circle's circumference is about ___ inches.

Use 3.14 for ​.

Answers

The circumstance is about 115. 61 inches. Hope that helps!

If y = 12 when x = 3, find x when y = 6.
I need this by tonight I don’t understand this part of my work

Answers

Answer:

X would equal 1.5

Step-by-step explanation:

if 12 divided by 2 equals 6, then you have to find what's half of 3 which is 1.5

how do i solve f^2+3f-5=0

Answers

Answer:

[tex] x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}[/tex]

Step-by-step explanation:

This kinda Questions can be easily done using the Quadratic formula or Shreedhacharya's Formula . Which is used to find the roots of a quadratic equation in Standard form of ax² + bx +c = 0 .

Wrt . Standard form ,

[tex]\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\implies x = \dfrac{-3\pm \sqrt{3^2-4(1)(5)}}{2(1)}\\\\\implies x = \dfrac{-3\pm \sqrt{9+20}}{2} \\\\\implies \boxed{\boxed{ x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}}}[/tex]

This is our required answer.

PLS HWELPPP ILL GIVE BRAINLIEST + EXTRA POINTS

Answers

Answer:

container y can hold 12.56 more salt

Step-by-step explanation:pls brainlist

colin bought a postcard for 45 cents . he gave the cashier $1 how much change did he receive

Answers

Answer: $.55

Step-by-step explanation:

The value of cost he received in change is,

⇒ 55 cents

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Colin bought a postcard for 45 cents.

And, he gave the cashier $1.

Since, We know that;

1 dollar = 100 cents

Hence, The value of cost he received in change is,

⇒ 100 cents - 45 cents

⇒ 55 cents

Thus, The value of cost he received in change is,

⇒ 55 cents

Learn more about the subtraction visit:

https://brainly.com/question/17301989

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Ordena los términos del 1 al 5, de tal manera que
cada término se construya del término (s) anterio
Explica por qué cada figura está en el lugar que
eliges. Los términos son: cuadrilátero, cuadrado
rombo, rectángulo y paralelogramo​

Answers

Answer:

El orden es;

1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado

Step-by-step explanation:

Los términos dados son;

Cuadrilátero; Una forma con cuatro lados

Rombo; Un cuadrilátero con cuatro lados iguales

Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos

Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos

Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos

Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término

Por lo tanto, tenemos,

La primera forma es el cuadrilátero,

El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)

El ángulo del rombo se ajusta para dar un paralelogramo

El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo

El rectángulo se ajusta para dar un cuadrado con todos los lados iguales

Which points are on the graph of the equation

Answers

Answer: C (0,-2) is one of them.

Kelsy can buy 2 pounds of apples for 7$. Write an equation to represent the cost, y, for x pounds of apples?

Answers

Answer: 7x = y

Step-by-step explanation:

Find the volume of the cylinder with the radius of 1.5 inches and the height of 8 inches.

Answers

Answer:

56.55 in.

Step-by-step explanation:

Answer:

volume= 56.55

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calculate the value of x when y = 24.

Answers

Answer:

x = 24

Step-by-step explanation:

Complete question

Y and x have a proportional relationship, and y = 24 when x = 16 What is the value of x when y = 36?

If y is proportional to x, then;

y = kx

24 = 16k

k = 24/16

k = 1.5

Recall that y = kx

36 = 1.5x

x = 36/1.5

x = 24

Hence the required value of x is 24

There are 10 circles and 6 squares. What is the simplest ratio of squares to circles? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

3:5 because for every three squares their are 5 circle.

Answer:

6:16 :)

Step-by-step explanation:

Pleassssseee heelelllppp

Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.

Answers

Answer:

Ten Peaches and five bananas.

Step-by-step explanation

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

The values of x and y are 23.83 and 31.1.

Step-by-step explanation:

Given that,

Perpendicular = 20 units

Angle, [tex]\theta=40^{\circ}[/tex]

We need to find the values of x and y.

Using trigonometry,

[tex]\tan(40)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(40)}\\\\x=23.83[/tex]

To find y use Pythagoras theorem,

[tex]y^2=23.83^2+20^2\\\\y=31.1[/tex]

So, the values of x and y are 23.83 and 31.1.

Which measurements could not represent the side lengths of a right triangle?
A 6 cm, 8 cm, 10 cm
B В
12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
10 cm, 24 cm, 26 cm

Answers

Answer: C

Step-by-step explanation: a^2 + b^2 = c^2

A. 6^2 + 8^2 = 10^2

B. 12^2 + 35^2 = 37^2

C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52   10^2 = 100)

D. 10^2 + 24^2 = 26^2

The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

For the triangle sides:

6 cm, 8 cm, and 10 cm

From the Pythagoras theorem:

[tex]10^2=8^2+6^2[/tex]

100 = 100

These sides satisfy the Pythagoras formula.

For the triangle sides:

12 cm, 35 cm, and 37 cm

From the Pythagoras theorem:

[tex]37^2=35^2+12^2[/tex]

1369 = 1369

These sides satisfy the Pythagoras formula.

For the triangle sides:

4 cm, 6 cm, and 10 cm

From the Pythagoras theorem:

[tex]10^2=6^2+4^2[/tex]

100 ≠ 52

These sides do not satisfy the Pythagoras formula.

For the triangle sides:

10 cm, 24 cm, and 26 cm

From the Pythagoras theorem:

[tex]26^2=24^2+10^2[/tex]

676 =  676

These sides satisfy the Pythagoras formula.

Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

Learn more about the right angle triangle here:

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John gave away 20% of his savings to Charlie he gave away $80 how much did John have in his savings. PLSSSS HEELPP​

Answers

Answer:

$400

Step-by-step explanation:

20% = 1/5

$80 x 5 = $400

Find the surface area of the figure below.​

Answers

Answer:

696.8 mm^2

Step-by-step explanation:

Well first lets find the bottom part of the square first.

13*13= 169

Thats the floor

13*5= 65

Thats 1 of the sides

there are 4 sides

65*4= 260

260+169= 429

Now find the triangle

(13*10.3) / 2

You’d get 66.95

66.95 *4 since there are 4 sides

You’d get 267.80

267.8+429= 696.8

PLEASE HELP IT IS AN EMERGENCY! I WILL GIVE BRAINLIEST!

Answers

Answer:

volume = 1056 in³

Step-by-step explanation:

area of face = (2 x 6 x 7) + (6 x 8) = 132 in²

volume = 132 x 8 = 1056 in³

Gerri is unsure whether a six-sided number cube is fair. She rolls the number cube 35 times and records the outcomes in the table below.
Outcome
1
2
3
Frequency
6
8
3
12
4
5
1
6
5
Based on the observed frequencies, which percent represents a reasonable probability of rolling a number less than 3?
14%
o
33%
o
40%
O
49%

Answers

Answer:

40%

Step-by-step explanation:

In order to calculate this probability we need to calculate the frequency of all the numbers rolled that were less than three. Since this would be numbers 1 and 2 and 1 was rolled 6 times while 2 was rolled 8 times, therefore, we add these numbers together.

6 + 8 = 14

Since we are tolled that the total number of rolls were 35, we now divide the number of rolls that were less than 3 (14 rolls) by the total number of rolls made (35 rolls). This would give us the probability of rolling a number less than 3

14 / 35 = 0.4  ... multiply by 100 to get percentage

0.4 * 100 = 40%

After spending some time looking for his pump, Marlon pumps up an uninflated balloon, pumping air into it at a constant rate. He ties the balloon with a string to prevent the air from escaping.
Which graph could represent this scenario?

Answers

Answer:

Graph D

Step-by-step explanation:

Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.

The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.

When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.

john ran 6 1/2 miles. Ben ran half the distance that John ran. Sara ran a total of 4.75 miles. What was the total distance combined of all three numbers

Answers

John ran 6 1/2. Ben ran half of that, so he had run 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5

Can I have brainllest

pleas e help !?!?!!j

Answers

Answer:

see explanation

Step-by-step explanation:

step 2 : 4x + 4 - 2x = - 6x + 6 + 14

Simplify both sides by collecting like terms ← what was done

step 3 : 2x + 4 = - 6x + 20

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

step 4 : 8x + 4 = 20

Subtract 4 from both sides ← what was done

8x = 16

Athena deposits $500 into a savings account that earns 5.4% simple interest. She will not make any additional deposits or withdrawals. How much interest will Athena earn at the end of 3 years?

Answers

Answer:

Interest earned= $81

Step-by-step explanation:

Giving the following information:

Athena deposits $500 into a savings account that earns 5.4% simple interest.

Number of periods= 3 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

P= principal

t= number of periods

I= 500*0.054*3

I= $81

PLEASE ANSWER THESE QUESTIONS PLZ ILL GIVE BRAINLIEST ANSWER

Answers

DP NOT CLICK THE LINKS

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?

Answers

Answer:

Step-by-step explanation:

38/2=19x7=133

Answer:

I believe its 19 times 7 which is 133. I did this in my head so correct me if im wrong lol.  

         Step-by-step explanation:

If P = (-4,3), Find:
Ry=1 (P)
([?], []).

Answers

Answer:

-4,1

Step-by-step explanation:

Answer:

-4,-1

Step-by-step explanation:

Concept 10.3: Find the area of the shaded sector. Round to the nearest tenth.

Answers

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Here's your solution

=> area of circle = πr^2

,=> area = (22/7)*6*6

=> area = 113.04 insq

=> area of sector =( πr^2*8°)/360°

=> area of sector = 2.51 insq

=> area of shaded region = 113.04 - 2.51

=> area = 110.53 in.sq

hope it helps

An angle measures 32° less than the measure of its complementary angle. What is the
measure of each angle?

Answers

Answer:

First angle = x

Second angle = x - 32

We know that, complementary angles form => 90°

So,

[tex]x + x - 32= 90 \\ 2x = 90 + 32 \\ 2x = 122 \\ x = \frac{122}{2} \\ x = 61[/tex]

First angle,

=> x = 61°

Second angle

[tex]x - 32 \\ = 61 - 32 \\ = 29[/tex]

Second angle,

=> 29°

(≧▽≦)

Anna and Bill share a 16-ounce box of cereal. By the end of the week, Anna has eaten
5
8
of the box, and Bill has eaten
1
4
of the box of cereal. How many ounces are left in the box?

Answers

Answer:

2 ounces

Step-by-step explanation:

1 = 5/8 - 1/4 = 1/8

16 x 1/8 = 2 oz

Answer:

2 ounces left

Step-by-step explanation:

if anna ate 5/8 of the box, and Bill has eaten 1/4 of the box, then in total they’ve eaten 7/8 if the box (1/4 turns into 2/8 + 5/8)

1/8 of the box is left and 1/8 of 16 is 2. so 2 ounces would be left

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