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IrinaK [193]
3 years ago
10

How to find the distance AB ? A(0,1) B(2,-3)

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Hey there!!

Distance formula :

\sqrt{(y2-y1)^{2} + (x2-x1)^{2}  }

Coordinates given :

( 0,1 ) and ( 2,-3 )

( y2 = -3 ; y1 = 1 ) ( x2 = 2 ; x1 = 0 )

Plugging in the values :

... \sqrt{(-3-1)^{2}+(2-0)^{2} }

... \sqrt{(-4)^{2}+(2)^{2} }

... \sqrt{16+4}

... \sqrt{20}

... \sqrt{5}×\sqrt{4}

... 2\sqrt{5} units is the distance.

Hope my answer helps!!

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jade buys a blouse and a skirt for 3/4of thier original price jade pays a total of 31.50 for the two items if the original price
aleksandrvk [35]

Answer: the original price of the skirt is $24

Step-by-step explanation:

Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)

Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is

0.75(x + 18)

Applying the distributive property, it becomes

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Jade pays a total of 31.50 for the two items. It means that

0.75x + 13.5 = 31.5

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3 years ago
Is the triangle obtuse, acute, equilateral or right?
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9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

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We can subtract b² to get a quadratic in standard form for cos(B).

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The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

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The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

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2 years ago
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So if there are 5 choices and only one is correct, there is a 1/5 chance of being correct. since there was 2 questions, you need to multiply 1/5 by 1/5 to get 2/25 of getting both questions correct.

i hope this helps!!
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