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Lemur [1.5K]
4 years ago
13

Which equation is equivalent to the formula below?

Mathematics
1 answer:
ehidna [41]4 years ago
3 0

Answer:

B-is correct

Step-by-step explanation:

y=a(x-h)^2+k

-k               -k

y-k=a(x-h)^2

:(x-h)^2    :(x-h)^2

(y-k)/(x-h)^2 =a

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Quadrilateral ABCD?<br>​
Mashutka [201]

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = \sqrt{(7 - 2)^{2} + (4 - 4)^{2}  }

⇒ AD = \sqrt{5^{2} }

⇒ AD = 5

DC = \sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }

⇒ DC = \sqrt{5^{2} }

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

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

⇒ AB = \sqrt{(-4)^{2} + (-9)^{2}  }

⇒ AB = \sqrt{16 + 81}

⇒ AB = \sqrt{97}

BC = \sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2}  }

⇒ BC = \sqrt{9^{2}  + 4^{2} }

⇒ BC = \sqrt{81 + 16}

⇒ BC = \sqrt{97}

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

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6 0
1 year ago
the subway train can hold a 792 people on Tuesday 56941 people rode the subway how many trains could 56941 people how many peopl
zubka84 [21]

Answer:

56,149 would be left over

Step-by-step explanation:

56,941-792=56,149

3 0
3 years ago
Help please!!!!!!ASAP thanks
irina [24]
The answer is 6, 9, 13.5
8 0
3 years ago
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In which figure is DE BC
stepan [7]

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

DB

AD

=

AC

AE

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

AD

=

5.4

1.8

AD=

5.4

7.2×1.8

AD=

10

24

⟹AD=2.4cm

4 0
3 years ago
Type the missing number that makes these fractions equal: 4/?=8/14
ozzi

Answer:

4/7 = 8/14

Step-by-step explanation:

7 0
3 years ago
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