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Nezavi [6.7K]
3 years ago
12

Find the distance between these points. W(-6, -8), X(6, 8)

Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

The distance is equal to 20

netineya [11]3 years ago
3 0
Answer:

d = 20

For:
(X1, Y1) = (-6, -8)
(X2, Y2) = (6, 8)

Step-by Step:

= √(6−(−6))^2+(8−(−8))^2

= √(12)^2+(16)^2

= √144+256

=√400

=20

——please give thanks! and brainliest<3
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Tina had 33 glasses and Kate had 56 how many they had each
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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

b = 3 + 2h

Area = 22

Required

Find the length of the base

The area of a triangle is calculated as thus;

Area = \frac{1}{2} * b * h

Substitute 22 for Area and 3 + 2h for b

The formula becomes

22 = \frac{1}{2} * (3 + 2h) * h

Multiply both sides by 2

2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h

44 = (3 + 2h) * h

Open the bracket

44 = 3 * h + 2h * h

44 = 3h + 2h^2

Subtract 44 from both sides

44 - 44 = 3h + 2h^2 - 44

0 = 3h + 2h^2 - 44

Rearrange

0 = 2h^2 +3h - 44

2h^2 +3h - 44 = 0

At this point, we have a quadratic equation; which is solved as follows:

2h^2 +3h - 44 = 0

2h^2 + 11h - 8h - 44 = 0

h(2h + 11) - 4(2h + 11) = 0

(h - 4)(2h + 11) = 0

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(h - 4) = 0\ or\ (2h + 11) = 0

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Solve the above linear equations separately

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Add 4 to both sides

h - 4 + 4 = 0 + 4

h = 0 + 4

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Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

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Divide both sides by 2

\frac{2h}{2} = -\frac{11}{2}

h = -\frac{11}{2}<em> ------ Second value of h</em>

Since height can be negative, we'll discard h = -\frac{11}{2}

Hence, the usable value of height is h = 4

Recall that b = 3 + 2h

Substitute 4 for h

b = 3 + 2(4)

b = 3 + 8

b = 11

Hence, the length of the base is 11 meters

3 0
4 years ago
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