Find the distance between the two points.
(4,3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer 1

Answer: 89 will go in the box

This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]

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Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

Related Questions

6th grade math plsssssss whoever does this I will give any vbuck card, or Microsoft. PLSSS HELP!

Answers

$20-$9=$11
11/2=5 with a remainder of 1
you can get a total of 5 toppings

Answer:

5 toppings

Step-by-step explanation:

$20 - $9 = $11 dollars left for toppings

$11 ÷ 2 = 5.5

So, you can get 5 toppings with 50 cents left.

Have a great day!

Solve the given polynomial by factoring. Check all answers that are correct.

f(y) = 3y^3 + y^2 + 9y + 3

A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3

Answers

It would be both E and F for this equation.

Someone please help will mark as brainliest

Answers

The answer is D lolllll

Answer: the answer is C.

Can someone help me with this?

Answers

Answer:

Option 4

Step-by-step explanation:

The circle is filled so it must be either :less then or equal to: or :greater then or equal to: and since it is going to the left that means it is on the less then or equal to.

Answer:

option 4

Step-by-step explanation:

the circle is filled so it can be equal

it shows n is everything lower then -1 so

n<=-1

Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four-year term of the loan, what was the rate of simple interest?

Answers

Answer:

The rate is 3 percentage

Which two products can add to find 9 times 4?

Answers

Answer:

2x18=36

im not sure if that's what you meant but i can answer again if you want

Step-by-step explanation:

Answer:

sin ( 330 )

csc ( 60 )

cos ( 390 )

Step-by-step explanation:

Which expression is equivalent to (9 + 3i) - (-4 + i)?
A. 5 + 2i
B. 5 + 4i
C. 13 + 2i
D. 13 + 4i

Answers

Answer:

Step-by-step explanation:

from the expression (9 + 3i) - (-4 + i);

STEP 1: multiply (-4 + i) by the minus sign before it.

we have +4 - i as the result.

we are left now with:

9+3i+4-i.

STEP 2: grouping those with same values,

9+4+3i-i= 13+2i

The area of the base of a rectangular prism is 40 squared inches. If the length of the prism is 4 inches, and the height of the prism is 5 inches, what is the total surface area of the rectangular prism

Answers

Answer:

220

Step-by-step explanation:

Name 4 fractions that are between 1/5 and 1/7

Answers

Answer:

21/240, 22/140, 23/140, 24/140

Step-by-step explanation:

7 and 5 have a common multiple of 140 and

140/7=20 20/140

140/5=28 28/140

21-27 are all numbers b/w 20 and 28

Answer:

21/140, 22/140, 23/140, 24/140

7 and 5 = common multiple of 140.

140/7 = 20 , 20/140

140/5 = 28, 28/140

21, 22, 23, 24, 25, 26, and 27 are the numbers between 20 and 28.

The area of the
rhombus is 52 m2
What is the base of
the rhombus?

Answers

i have explained through pictures

juan bicycles due north at 20mph eric starting at the same point at the same time bicycles due east at 15mph how.

far apart are they after 2 hours?

A. 10 miles
B. 35 miles
C. 50 miles
D. 70 miles

Answers

I’m not good at math but I think u have to divide or multiply 20 and 15

The total surface of the cube measures 54ft. How long is its edge?

Answers

Answer:

It should be 9ft

Step-by-step explanation:

I hope this helps

PLEASE HELP THANK YOU BRANLIEST IS PROVIDED

Answers

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

πr²π(7+6-5/2)²π(8/2)²16π25.12in²

Area of centre rectangle

8(13)104in²

Area of right rectangle

3(6)18in²

Total

18+104+25.12122+25.12147.12in²

If you toss a coin eight times and get a head each time, which of the following is true?
A. The probability of getting a head on the next toss is more than %.
B. The probability of getting a tail on the next toss is more than 1.
C. The probability of getting a tail on the next toss is %.
D. The probability of getting a head on the next toss is greater than the probability of getting a
tail

Answers

You just put a percentage sign , but anyways here is an explanation ,every time you get heads the probability that you get it once more decreases

please answer this question, just the multiple choice answer is fine to put
please make sure its right if you can

Answers

Answer:

B: 25

Give me Brainliest lol-

Answer:

Step-by-step explanation:

d1 x d2 divide by 2

10 x 5 = 50/2 =25

Can someone explain to me what 8√42 ÷ 2√7 is?

Answers

Answer:

Step-by-step explanation:

8√42 ÷ 2√7 is 8√42/2√7 in a fraction form

you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.

8√42/2√7 * 2√7/2√7 = 4√6

Correct I’ll give brainlist no links or I’ll report

Answers

It’s the second one…………..

Find the distance between the points (4,3) and (1,0).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

Answers

Answer:

[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }[/tex]

[tex]=\sqrt{(1-4)^2+(0-3)^2 } \\=\sqrt{3^2 + 3^2}\\=\sqrt{18}\\=3\sqrt{2}[/tex]

Answer:

3√2

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(0 - 3)² + (1 - 4)²

√(-3)² + (-3)²

√(9) + (9)

√18

3√2

PLS HELP ME WITH THIS QUESTION!!

Answers

Answer:

Step-by-step explanation:

how can I do this ???

Answers

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

HElP PLS I WILL DO ANYTHING BUT HELP

Answers

Answer:

1/32

Step-by-step explanation:

There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.

1/8 * 1/4 = 1/32 chance of landing on green and then blue.

Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root

Answers

See the picture below

Answer:

x ≈ 11.89

Step-by-step explanation:

Using the cosine rule

x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )

= 16 + 81 - 72cos128°

= 97 - (- 44.33 )

= 141.33 ( take the square root of both sides )

x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )

If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.

Answers

Answer:

Step-by-step explanation:

it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle

i need help asap!! i would really appreciate this

A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.

Answers

Answer:

Step-by-step explanation:

What is 9 - 10 as a decimal number

Answers

If you meant, 9/10 then that equals 0.9, because 9/10 is “nine tenths” which is the same way you would say 0.9.

Right triangle XYZ is drawn with a 23° angle. For right triangles with an angle of 23° the ratio of the leg adjacent the 23° angle compared to the hypotenuse is 0.92 If the leg adjacent to the 23° angle has a length of 46 units, what is the length of the hypotenuse?

Answers

Answer:

Step-by-step explanation:

In a right angled triangle :

Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio

For an angle of 23° and and adjacent leg of 46

Cos 23 = adjacent / hypotenus

Adjacent / hypotenus = 0.92

46 / hypotenus = 0.92

Hypotenus = 46 / 0.92

Hypotenus = 50

Helpppp chile. I’m stuck sidnfifnfig vkfniffnf

Answers

Step-by-step explanation:

12*4 - 2*2

48 - 4

44 ft of carpet.

Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30

Answers

Answer: B) 43, 133, 89

===========================================================

Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

p+q > rp+r > qq+r > p

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

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

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

B is the answer to this question

Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3

Answers

Last one 3(x+4) x=4/3

Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false

Answers

Answer:

true

Step-by-step explanation:

subject?

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Find the distance between the two points. (4,3) ✓ [?] Enter the number that goes beneath the radical symbol.

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Find the distance between the two points.
(4,3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.