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nataly862011 [7]
3 years ago
10

help asap pls!!!!!!!!!! Which equation can be used to determine the distance between the origin and (–2, –4)?

Mathematics
1 answer:
Semenov [28]3 years ago
8 0
We know that
the distance formula is
d=√[(y2-y1)²+(x2-x1)²]
 point (0,0) and point  <span>(–2, –4)
</span>d=√[(-4-0)²+(-2-0)²]---------> d=√[16+4]-------> d=√20
d=4.47 units

the answer is the option B
see the attached figure

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6 0
3 years ago
Which ordered pair is a solution to the system of inequalities ? (1, –5) (3, 0) (–1, –2) (1, 5)
Musya8 [376]

Point (3,0) is system solution.

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

We have

y> -2

x + y <4

  • For (1,-5):

First inequation:

-5> -2 (incorrect)

Second inequality:

1-5 <4 (correct)

  • For (3,0):

First inequation:

0> -2 (correct)

Second inequality:

0+3 <4 (correct)

  • For (-1,-2):

First inequation:

-2> -2 (incorrect)

Second inequality:

-1-2 <4 (correct)

  • For (1,5):

First inequation:

5> -2 (correct)

Second inequality:

1+5 <4 (incorrect)

Hence, Point (3,0) is system solution.

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7 0
2 years ago
Complete the pairs of corresponding parts if △RST ≅ △TXY.
Bogdan [553]

Answer:

∠STR = ∠XYT


Step-by-step explanation:

The triangles are give congruent.△RST ≅ △TXY.

In congruent triangles corresponding angles are equal.The order of the letters in the congruent statement matters.

In the given statement the angles matching to ∠STR is ∠XYT.

Hence ,the equal angles in the congruent triangles are ∠STR = ∠XYT.


8 0
3 years ago
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Fantom [35]

Answer:

Since it is growing at 5% per year, at the end of each year the population will be 1.05 times what is was at the start of the year.

 

Start with 110,000 and multiply by 1.05 a total of 16 times to get the population at the end of 16 years.

 

P = 110,000 x 1.0316 ≅ 176,518

Step-by-step explanation:

8 0
3 years ago
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A set of data is normally distributed with a mean of 52 and a standard deviation of 5. What percentage of the data is in the int
Elina [12.6K]
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6 0
3 years ago
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