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Anettt [7]
3 years ago
13

Calculate the distance between the points (-8,1) and (0,7)

Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

10 units

Step-by-step explanation:

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

Using the distance formula above,

distance between the 2 points

=  \sqrt{[0 - ( -  8)]^{2} + (7 - 1)^{2}  }  \\  =  \sqrt{(0 + 8)^{2} + 6^{2}  }  \\  =  \sqrt{ {8}^{2}  + 36}  \\  =  \sqrt{64 + 36}  \\  =  \sqrt{100}  \\  = 10 \: units

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It will take him 30 hours
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3 years ago
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative invers
monitta

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

  • the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
  • So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

  • Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
  • -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

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d). multiplicative identity of 19

  • an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
  • Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

  • Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d)  | 11-5|×|1-5|

  • | 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

8 0
3 years ago
If it takes 100 g of sugar to make five cupcakes how many grams of sugar let me take to make 15 cupcakes
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Answer:

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Step-by-step explanation:

15 divided by 5 is 3 so 3 x 100 is 300. Hope this helps! :)

5 0
3 years ago
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Answer:

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Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

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By substituting the measures of the given sides,

\frac{4}{2}=\frac{6}{3}=\frac{2}{1}

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

8 0
3 years ago
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