Find the distance between the two points (-5, -2) and T(-3, 4).

Answers

Answer 1

Answer:

[tex]\displaystyle d = 2\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, -2) → x₁ = -5, y₁ = -2

Point (-3, 4) → x₂ = -3, y₂ = 4

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-3+5)^2+(4+2)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(2)^2+(6)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{4+36}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{10}[/tex]

Related Questions

Please help I really need help please ans thank you ​

Answers

Answer:

see below

Step-by-step explanation:

x = 63 and y = 27

180 - 117 Gives 63

Answer:

x=63

y=27...............

Simplify the following expression 2x+1+7x

Answers

Answer:

9x + 1

Step-by-step explanation:

2x + 1 + 7x

= 9x + 1

Answer:

2x+1+7x

2x+7x=-1

9x=-1

x=-1/9

Step-by-step explanation:

collect the like terms then add

take 1 to the other side it will be negative

then divide by nine in fraction form it will be -1/9

Four crayons are packaged in a row, three primary colors are touching. If neither is red or blue, which crayon is first

Answers

Answer:

yellow

Step-by-step explanation:

Simplify the expression 2(10) + 2(x-4)

Answers

Answer:

Hello! :) have a good day!

2x + 12

Answer:

First: Multiply the numbers

2 x 10 + 2 (x -4)

20+2(x-4)

Secondly: Distribute

20+2(x-4)=

20 + 2x - 8

Thirdly: Subtract the numbers

20 + 2x - 8=

12 + 2x

Lastly: Rearrange terms

12 + 2x

2x + 12

And that would leave us with our answer 2x + 12!

What is the measure of EACH exterior angle for this regular octagon?

360
45
1080
135

Answers

Answer:

Exterior angle = 45° each

Step-by-step explanation:

Given:

Number of side n = 8

Find:

Exterior angle

Computation:

Exterior angle =360° / n.

Exterior angle =360° / 8

Exterior angle = 45° each

A significance test is conducted for which the alternative hypothesis states that more than 85 percent of adult sea turtles on a certain beach are female. The p-value for the test is 0.4158. If the null hypothesis is true, which of the following statements is a correct interpretation of the p-value?

a. Of all possible samples of the same size, 41.58 percent will result in 85 percent of adult sea turtles on the beach being female.
b. Of all possible samples of the same size, 41.58 percent will result in 85 percent or more of adult sea turtles on the beach being female.
c. Of all possible samples of the same size, 41.58 percent will result in 85 percent or less of adult sea turtles on the beach being female.
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent or more of adult sea turtles on the beach being female.
e. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being female.

Answers

Answer:

d. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being females.

Step-by-step explanation:

Hypothesis testing is conducted to test an observation against the null hypothesis. P-value is calculated to determine whether to accept or reject the null hypothesis. In the given case the p-value is 0.4158 which means null hypothesis is true.

Charles has his teammates how many hours they practice swimming during the week he recorded his data in the table below and use the shaded columns to calculate the three sample means what is the range of values for the

Answers

Answer:

B or 2, I took this test.

Step-by-step explanation:

Answer:  B

Step-by-step explanation: 2

I NEEDS SOME HELP PLS WITH THESE TWO QUESTIONS
‍♀️

Answers

The first question’s answer is: C. Right 1 & Up 2

The second question’s answer is: D. Left 6 & Up 15

Hope this helps!! :)

2. Evaluate the expression when a = 3
2a + 8

Help PlEaSeEeE!!! This us late and as if right now summer school fir me

Answers

Step-by-step explanation:

When a = 3

2a + 8

= 2* 3 + 8

= 6 + 8

= 14

As per the Question a=3
Expression =2a+8
=2*3+8
=6+8 => 14(ans)

A student is given three triangles and must determine which triangles are congruent. The student is also told that ∠B = ∠D = ∠Y. Which of the following statements is true?

Answers

Answer:

should i do all the questions?

Multiply. Write your answer in simplest form. 1/9 x 3/10

Answers

Answer:

1/30

Step-by-step explanation:

When you multiply fractions, you just muliply across,

1*3= 3

9*10= 90

you now have 3/90 but you have to simplify, we know 3 goes into 3 and it also goes into 90 equally

3/3= 1

90/3= 30

So your answer is 1/30!!

I hope this helps!!!!!!!!!!!


[tex] {a}^{2} {a}^{4} {a}^{5} answer \: a40 \: or \: a11 [/tex]

Answers

It’s a tiny the power of 11
2+4+5 = 11
Pls mark as brainliest

A meter is 100 centimeters. How many
meters are equal to 712 centimeters?

Answers

Answer:

100×712 is equal to 71200

so the equality of 712 is 71200

Answer:

7.12 meters

Step-by-step explanation:

So 1 meter = 100 centimeter

To find how many meters are in 712 centimeters, you have to divide 712 by 100.

[tex]\frac{712}{100} = 7.12[/tex]

Therefore, 7.12 meters is equal to 712 centimeters.

Hope this helps!!

- Kay :)

The length of a rectangle is 4 inches longer than it is wide. If the perimeter is 52 inches, what are the
dimensions of the rectangle?

Answers

Answer:

L = 15

W = 11

Step-by-step explanation:

P = 2L + 2W

2L + 2W = 52                         Divide each term by 2

2L/2 + 2W/2 = 52/2

L + W = 26                              Substitute the value for L

W + 4 + W = 26                      

2W + 4 = 26

2W = 26 - 4                            Subtract 4 from both sides

2W = 22                                  Divide by 2

W = 22 /2

W = 11

L = W + 4

L = 11 + 4

L = 15

solve for n.

1.) 7.26 × 0.22=n
2.) 17.92 × 0.64=n
3.) 7.65 × 0.65=n
4.) 36.20 × 0.05=n
5.) 31.86 × 0.92=n​

Answers

Answer:

1.) 1.5972

2.) 11.4688

3.) 4.9725

4.) 1.81

5.) 29.3112

y/-2 = -34
giving brain.

Answers

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

[tex]\frac{y}{-2} *-2=-34*-2[/tex]

[tex]y = 68[/tex]

Danny charges $27 for 3 hours of swimming lessons, Martin charges $30 for 2 hours of swimming lessons. Who offers a better deal?

Answers

Danny offers a better deal

Find the area of the triangle

The area is =

(Simplify your answer)

Answers

Answer:

52.5 yd²

Step-by-step explanation:

1/2(10)(10.5)=52.5

Do any of you know how to rewrite the equation
X+y=3
Into something where it has x= or y= instead of it =3?? I have to graph it on a graph but don’t know how to do it with the equation set up like this.

Answers

Yeah! So if you just subtract one of your variables (usually x) so you can get it to say y= *blank* in this case I would say subtract x and you will get y=x-3 and you should be able to graph

what is the answer ?

Answers

Answer: cot

Step-by-step explanation: cos

(

x

)

1

sin

(

x

)

cos

(

x

)

1

sin

(

x

)

Combine

cos

(

x

)

cos

(

x

)

and

1

sin

(

x

)

1

sin

(

x

)

.

cos

(

x

)

sin

(

x

)

cos

(

x

)

sin

(

x

)

Convert from

cos

(

x

)

sin

(

x

)

cos

(

x

)

sin

(

x

)

to

cot

(

x

)

cot

(

x

)

.

cot

(

x

)

WILL GIVE BRAINLIEST!!!!
3. The nth term of a Sequence is given by an =
n/n+2
If the Domain of the Sequence is {1,2,3,4,5} choose the correct range of the Sequence

Answers

Answer:

answer b :) i hope this helps

An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation:

Solve y - 7= 3.
y =?

Answers

Answer:

y = 10

Step-by-step explanation:

y - 7= 3

Add 7 to each side

y-7+7 = 3+7

y = 10

Answer:

y = 10

Step-by-step explanation:

y - 7 = 3

y = 7 + 3

y = 10

Hope that helps!

x + 5 x < -2 4 – x2 -2 ​

Answers

x2  < −6x − 26

x < -x2/6 - 13/3

does the table represent a proportional relationship?
x 3 6 9 12
y 7 13 19 25​

Answers

Answer:

x does y does not

Step-by-step explanation:

In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation

Answers

Answer:

ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?

The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.

The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5

Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So

[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5

= [7.5*1.5*2*4]^0.5

= 90^0.5 sq cm

Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or

2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get

4*90 = [s1(s1-p)(s1-q)(s1-r)]

360 = s1(s1–11)(s1–6)(s1-AD) … (1)

2s1 = AD + 11 + 6 = AD + 17, or

s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get

360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)

360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)

360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)

= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)

= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)

360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or

-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or

0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or

0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or

AD^3 - 168.5 AD^2 + 6492.5 = 0, or

By trial and error, AD = 6.3272

Check: AD^3 - 168.5 AD^2 + 6492.5

6.3272^3 - 168.5*6.3272^2 + 6492.5

253.3- 6745.6 + 6492.5 = 0.2 as against 0

Hence AD = 6.3272 cm.

Answer:

Assuming you really mean the rectangle is ABCD, not ABDE:

Since DB is perpendicular to AC, it must be square.

If OA = 5, then OB = OC = OD = 5

This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.

5^2 + 5^2 =AB^2 = 7.07, not 13

Simplify: 7^6 divided 7^2

Answers

Answer:

The answer is 1/3

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

~Hoped this helped~

The answer to your question is “1/3”. Continue learning hope u have a amazing day/night :)

Answer it like this
1: answer here
2: answer here

Make sure you round both to the nearest tenth

Answers

1. Radius is 7
2. Radius is 22 sorry don’t know the diameter

1.) Radius = 6.5 ft.

2.) Diameter = 14 in.

Radius = 7 in.


Find the length of the hypotenuse if a = 5 and b = 7. Round to the nearest tenths.

Answers

Answer:

8.6

Step-by-step explanation:

To find the length of a hypotenuse, use the formula a²+b²=c² where c is the hypotenuse. In this case, it's 5²+7²=c². Then do the calculations and take the square root to find c. 25 + 49 = c². 74=c². The square root of 74 to the nearest 10th is 8.6

If 84 of the 224 participants in club activities are nonresidents what is the ratio of residents to nonresidents who participate in club activities

Answers

Answer:

5:3

Step-by-step explanation:

140:84 =

35:21 =

5:3

Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)

The ratio is 5:3

What is ratio?

A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given:

Total participants= 224

nonresidents =84

So, residents= 224-84 = 140

Now, ratio of residents to nonresidents

=140/84

=70/42

=10/6

=5/3

Learn more about ratio here:

https://brainly.com/question/26974513

#SPJ6

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