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Valentin [98]
3 years ago
13

What is the distance between 5,4 and -1,1

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

3\sqrt{5}

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \sqrt{(-1-5)^2+(1-4)^2}

   = \sqrt{(-6)^2+(-3)^2}

   = \sqrt{36+9}

   = \sqrt{45}

   = 3\sqrt{5} ← exact value

   ≈ 6.71 ( to 2 dec. places )

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Rufina [12.5K]

Around 58 book covers

7 0
3 years ago
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time
timurjin [86]

E=egg farm

x=distantce between  the Berto´s trains and the meeting point.

t=time where the trains meet up

⇒110 miles/h                                          ⇒85miles/h

[---------------------------E----------------------]-------------------------------------X

[............12 miles.......][........34 miles.....][------------ x ----------------------]

distance between Berto´s train and Eduardo´s train=

=12 miles+34 miles=46 miles.

S=d/t      ⇒d=S*t

S=seed

d=distance

T=time

Eduardo´s train;

46 miles+x=t*110 miles/h  ⇒x=t*110 miles/h-46 miles  (1)

Berto´s train;

x=t*85 miles/h  (2)

With the equations (1) and (2) we suggest this system equations:

x=t* 110 miles/h-46 miles

x=t*85 miles/h

we solve this system equiations :

t*110 miles/h-46 miles=t*85 miles/h

110t miles/h-85t miles/h=46 miles

25 t miles/h=46 miles

t=46 miles/25 miles/h=1,84 hour  (≈1 hour, 50 minutes, 24 seconds)

x=t*85 miles/h=156,4 miles

Solution: 1,84 hour

3 0
3 years ago
Read 2 more answers
How do I write an equation in standard form for a line that passes through (2,2) and (0,-3)
sweet [91]
It is the first one!!
5 0
3 years ago
Given f(x) = –2 – 4, find f(4).
harkovskaia [24]

Answer:

-6

Step-by-step explanation:  6  6  15  40

f(x) = –2 – 4, find f(4)

since there is NO x term in the function for ANY x

f(4) = –2 – 4  = -6

f(any x) = –2 – 4, find f(-∞ = x = ∞)

            =  -6

3 0
3 years ago
What does (2x−2)(3x+5) equal?
saw5 [17]

Answer:

6x² + 4x + 10

Step-by-step explanation:

(2x - 2)(3x + 5)

2x(3x + 5) - 2(3x + 5)

6x² + 10x - 6x + 10

6x² + 4x + 10 ans.

hope this helps you !

4 0
2 years ago
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