Find the distance between the points (6, 4) and (10, 7).

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

Given that [tex](x_1,y_1)\rightarrow(6,4)[/tex] and [tex](x_2,y_2)\rightarrow(10,7)[/tex], then:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(7-4)^2+(10-6)^2}\\\\d=\sqrt{3^2+4^2}\\\\d=\sqrt{9+16}\\\\d=\sqrt{25}\\\\d=5[/tex]

This means that the distance between (6,4) and (10,7) is 5 units


Related Questions

Someone helppppp me on this math problem

Answers

Answer:

whats the problem? ill do my best to help

Step-by-step explanation:

Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.

what is the smallest possible average of five distinct positive even integers

Answers

Answer:

2+4+6+8+10/5

10 is average of this

The smallest possible average of five distinct positive even integers is 6.

To find the smallest possible average of five distinct positive even integers, to minimize the values of those integers.

The smallest distinct positive even integers start from 2, 4, 6, 8, 10, and so on.

To minimize the average, to choose the five smallest even integers. So, the five distinct positive even integers are:

2, 4, 6, 8, 10

To calculate the average, sum up these five integers and divide by 5:

Average = (2 + 4 + 6 + 8 + 10) / 5

Average = 30 / 5

Average = 6

So, the smallest possible average of five distinct positive even integers is 6.

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The difference of twice a number and 2 is at most 20. Use the variable w for the unknown number.​

Answers

Answer:

2w - 2 ≤ 20

Step-by-step explanation:

2w - 2 ≤ 20

Answer:

'w' are all values less than or equal to 11

Step-by-step explanation:

2w - 2 ≤ 20

2w ≤ 22

w ≤ 11

Find the volume of the irregular
figure.
1 cm
4 cm
3 cm 1 cm
9 cm
?] cm
5 cm

Answers

Answer:

23 times 3 or just 23

ox

Step-by-step explanation:

Find the least common denominator. Then express each fraction using the least common denominator.
5/12 and 4/18

Answers

Answer:

5/12 = 15/364/18 = 8/36

Step-by-step explanation:

The least common denominator can be found as the product of the denominators, divided by their greatest common factor:

  LCD = (12)(18)/6 = 36

This is 3 times 12, so

  5/12 = (5/12)(3/3) = 15/36

and it is 2 times 18, so

  4/18 = (4/18)(2/2) = 8/36

The two fractions are ...

5/12 = 15/364/18 = 8/36

What is the value of the expression (5)^3

Answers

Given :-

To Find :-

A equivalent expression .

Solution :-

The given expression is ,

→ 5³ .

As we know that if there is aⁿ , where n is the power then we have to multiply the number at the base n times . Hence here ,

→ 5³ can be rewritten as

→ 5 * 5 *5

Simplify ,

125

Hence the required answer is 125 .

I hope this helps.

Let us evaluate

Explanation:

[tex]5³ = 5 × 5 × 5 = 125[/tex]

can also be understood as 5 cubed.

Whenever a number (x) is multiplied by itself three times, then the resultant answer is known as the cube of that number.

Thus, 5 to the 3rd power is equal to 125

PLEASE HELP WILL MARK BRAINLIEST

Answers

Step-by-step explanation:

[tex]{ \tt{9 {x}^{2} + 11x + 5}} \\ = { \tt{(18x + 11i)(18x + 11i)}}[/tex]

A box in a shape of a cube with an edge length of 9 inches. Find the surface area of the box

Answers

Answer:

A=486in²

Step-by-step explanation:

Hope that helps!

Find the vertex and focus of the parabola x^2+14x-8y+65=0

Answers

Answer:

heres the graph i don't rly understand this all but mabe it will help

Hope This Helps!!!

Maggie has $16 to spend on lunch for the week she has already spent four dollars which inequality statement shows how much more money Maggie has left to spend for the week

Answers

Answer:

x ≤ $12

Step-by-step explanation:

Since Maggie has $16 to spend for the week, she can spend less than $16 or exactly $16. Thus, the inequality used would be ≤, which can be read as 'less than or equal to'.

Let the amount of money she has left to spend for the week be x.

Total spending for the week ≤ $16

$4 +spending for the rest of the week ≤ $16

$4 +x ≤ $16

Subtract both sides by $4:

x ≤ $16 -$4

x ≤ $12

What is the value of x?
D
(2x)
E R
(4x + 10)
V
700

Answers

Step-by-step explanation:

180° = 2x + 70 + 4x + 10

180° = 2x + 4x + 70 + 10

180° = 6x+ 80

180 - 80 = 6x

100 = 6x

6x = 100

x = 16.66

x ≈ 17°

What is the horizontal and vertical shift for the absolute value function below? f(x)=3|x+9|+6

Answers

a vertical stretch of 3, left 9 units, and up 6 units

Horizontal shift left 9 units and vertical shift up of 6 units

volume of a sphere when radius is 50

Answers

Answer:

Step-by-step explanation:

Givens

r = 50

Formula

V = 4/3 pi r^3

Solution

V = 4/3 * 3.14 * 50^3

V = 4.19 * 50^3

V = 4.19 * 125000

V = 523750

Lia scored 120 out of 250 in her exam , and Ash scored 170 out of 350 , who scored better ?​

Answers

Answer: Ash

Step-by-step explanation:

Convert both into a percentage so it is clearer

Lia- 48%

Ash- 48.57%

If Rob can eat 8 munchkins in 20 minutes, how long would it take him to eat 20 munchkins.

Answers

50 minutes
He can 8 munchkins in 20min, so,
8 munchkins in 20
8 munchkins in 20
4 minchkins in 10 (half of the minchkins)

The answer is: Rob can eat 20 munchkins in 50 minutes…

I hope it can help you :)

Find the surface area

Answers

280 bro: area of cross section x length. REWARD ME

plot the following points on a graph sheet. Verify if they lie on a line. A (1,3), B (3,5), C (4,6), D (6,8)​

Answers

Graph is attached

Hope this helps!

Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer.

Answers

Answer:

147

Step-by-step explanation

Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change = 

=
Given:
N = Natural number
| = Integer
Q = Rational number
Q' = Irrational number
R = Real number

The number
7/22
is in which of the sets N, I, Q, Q', R?

Answers

Answer:

  Q, R

Step-by-step explanation:

All of the listed sets of numbers are Real numbers. The fraction is not an integer, so is not in sets I or N. Because it is a fraction, it is in set Q, and because R includes Q, ...

  the number is in sets Q and R

Help please due today.

Which expression shows the length, BC, of the base of the stand?

A. 7 over tan 55 degrees

B. 7(cos 55 degrees)

C. 7 over sin 55 degrees

D. 7(tan 55 degrees)

Answers

Answer:

A) [tex]\frac{7}{tan55^\circ}[/tex]

Step-by-step explanation:

[tex]tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}[/tex]

Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab​

Answers

We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab

Just add all these expressions and you will get your answer as ;

[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]

[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]

Collect like terms ;

[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]

During a biology lab, students selected a flower to grow in a greenhouse. For the experiment, 4 students selected violets, 11
students selected lilies, and 3 students selected roses. If a single flower is picked at random, what is the probability that the
flower is a lily or a rose?
• Provide the final answer as a fraction.

Answers

Answer:

For the experiment, 4 students se students selected lies, and 3 students ... During a biology lab, students selected a flower to grow in a greenhouse.

Step-by-step explanation:

What is the exact value of 5 5/6- (1 1/4 +3 7/8)


Answers

Answer:

15/40 which simplified is 3/8

Step-by-step explanation:

To solve this equation, we first have to turn all mixed numbers into improper fractions so we can add and subtract them

When we do this we get, 35/5 - (11/4 + 31/8)

Since there is a negative (-) sign before the parentheses, we automatically sub in a -1 in there and we distribute

Now we have 35/5 - 11/4 - 31/8

We can’t subtract this directly since they all have different denominators, so we have to change them to a common denominator

The common denominator of 5 4 and 8 is 40 so we multiply both the numerators and denominators by whatever number it is so the denominators are 40

This gets us to 280/40 - 110/40 - 155/40

When we subtract all of this, we get…

15/40 which can be simplified to 3/8

Hope this helped, have a great day, and please award brainliest

The area of an 14-cm-wide rectangle is 322 cm2. What is its length?
The length is
cm.

Answers

Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the length of rectangle :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

A = Area l = length b = breadth

Substituting all the given values in the formula to find the length of rectangle :

[tex]\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}[/tex]

Hence, the length of rectangle is 23 cm.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer:

Area=322cm²Breadth=14cmLength=?

We know that,

[tex] \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)[/tex]

[tex]\implies\displaystyle{3 {22}^{} } = l \times 14[/tex]

[tex]\implies\displaystyle{ \frac{322}{14} = l }[/tex]

[tex] \implies \displaystyle{23=l}[/tex]

Thus,the value of length=23 cm.

Will there ever be an
age, other than 14 and
7, where Pedro is twice
as old as his brother?
Explain.

Answers

Answer:

No

Step-by-step explanation:

They are 7 years apart. Therefore, the only age where Pedro will be twice as old is his brother is the age 14 because 7 is half of 14.

Hi!

Your answer is No.

This is because they are seven years apart in age. The only way for Pedro to be twice as old as his brother would be for

a + 7 = 2a

('a' is Pedro's brother's age)

Now, if we subtract a from both sides in the top equation, we get:

7 = a

There is only one solution to this equation.

what is the slope?

(2, -3)
(3, 3)

Answers

Answer:

6

Step-by-step explanation:

The slope is six
m=6

What is the equation of a line with a slope of -1 and a y-intercept of -5?

Answers

Answer:

equation: y = -x - 5

Step-by-step explanation:

using the formula: y = mx + b ..........where m is the slope and b is y-intercept

so the equation in slope intercept form will be: y = -1x -5

If f(x) = 2x − 5, then what is the value of f(4x − 1)?

Answers

Step-by-step explanation:

well, you put the input term into the place of the original variable (as with any actual constant value) :

f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7

we could call this now g(x) (= f(4x - 1)).

For a certain triangle ABC, if a line intersects AC at D, intersects AB at E, and is parallel to CB, would the proportion AE | AD = EB | DC be accurate? Explain your answer.​

Answers

The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate

Understanding Basic proportionality theorem(Thale's Theorem)

This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.

Thus, In ΔABC, DE || BC

By Thales theorem, we can say that;

AD/DB = AE/EC

Rearranging we can arrive at;

AE/AD = EC/DB

When we simplify further by adding 1 to both sides, we will get;

AD/AB = AE/AC

Thus, the given proportion is not accurate

Read more about Basic Proportionality Theorem at; https://brainly.com/question/14417137

Consider the diagram below.
5.66
x
у
5.66
Z
Which of the following represent the values of x, y, and z to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

The values of x, y and z in the given triangle are 8, 5.66 and 8.

What are triangles?

Triangles are a type of a polygon having three sides and angles.

Given is a triangle, having some unknown variables, we need to find their values,

So,

According to the figure we can say that the triangle is an isosceles triangle because the median is perpendicular to the base and dividing it into equal parts.

Therefore,

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

Hence, the values of x, y and z in the given triangle are 8, 5.66 and 8.

Learn more about triangles, click;

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