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Vlad [161]
3 years ago
7

What is the exact distance from (_1, 4) to (6, _2)?

Mathematics
2 answers:
Maslowich3 years ago
4 0
D = sqrt((6 - (-1))^2 + (-2 - 4)^2) = sqrt(7^2 + (-6)^2) = sqrt(49 + 36) = sqrt(85) units.
MA_775_DIABLO [31]3 years ago
3 0
Square root 85 
I 
got 
it 
right
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A slush drink machine fills 1440 cups in 24 hours. A. Write an equation to find the number c of cups each symbol represents. I c
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Answer: FROZEN JUICE DRINKS A frozen juice machine fills 1440 cups in 24 hours. a. Write and solve an equation to find the number c of cups each symbol represents.

Step-by-step explanation: in time period t

Let t = time in hrs  

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4 0
3 years ago
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Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constan
BARSIC [14]

Answer:

125/6(In(x-25)) - 5/6(In(x+5))+C

Step-by-step explanation:

∫x2/x1−20x2−125dx

Should be

∫x²/(x²−20x−125)dx

First of all let's factorize the denominator.

x²−20x−125= x²+5x-25x-125

x²−20x−125= x(x+5) -25(x+5)

x²−20x−125= (x-25)(x+5)

∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx

x²/(x²−20x−125) =x²/((x-25)(x+5))

x²/((x-25)(x+5))= a/(x-25) +b/(x+5)

x²/= a(x+5) + b(x-25)

Let x=25

625 = a30

a= 625/30

a= 125/6

Let x= -5

25 = -30b

b= 25/-30

b= -5/6

x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)

∫x²/(x²−20x−125)dx

=∫125/6(x-25) -∫5/6(x+5) Dx

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4 0
3 years ago
PLZ HELP ill GIVE BRAINIESt!!!!
Elenna [48]
This problem can be modeled by the picture shown below. We notice that we are given to side lengths, specifically legs, of the triangle. Therefore, we can use the Pythagorean Theorem, which states that a^2+b^2=c^2, where a and b are legs and c is the hypotenuse. So we can do:

16^2+12^2=c^2
256+144=c^2
400=c^2

The square root of 400 is 20, which is our hypotenuse.

(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to  use the Pythagorean Theorem. 24/2 is 12).

:)

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3 years ago
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The answer would be the 3rd number line or "C"
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Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
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We cant get 2 fours in a single die.we need at least 2 die to get 2 fours.
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