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uysha [10]
2 years ago
11

Solve the equation using the method of completing the square.

Mathematics
2 answers:
crimeas [40]2 years ago
4 0

Answer:

D) x = ± 2√5 - 4

Step-by-step explanation:

2x² + 16x - 8 = 0

Yah, i plugged this into m a t h w a y

(all of ur questions pretty much can use this app or website)

Furkat [3]2 years ago
3 0

Answer:

D

Step-by-step explanation:

Given

2x² + 16x - 8 = 0 ( divide through by 2 )

x² + 8x - 4 = 0 ( add 4 to both sides )

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16

(x + 4)² = 20 ( take the square root of both sides )

x + 4 = ± \sqrt{20} = ± \sqrt{4(5)} = ± 2\sqrt{5} ( subtract 4 from both sides )

x = - 4 ± 2\sqrt{5} → D

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E which is 5 * sqrt(2)

Step-by-step explanation:

yeah ya..... right?

4 0
2 years ago
Raul has 40 toy cars in his collection.
rosijanka [135]

Answer:

37

Step-by-step explanation:

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6 0
3 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
(4+7 +5+5+2) +[14 5/8+ 14 3/4 +14 7/8+15 + 15 1/8]=​
Reptile [31]

Answer:

97 and 1/8

Step-by-step explanation:

(4 + 7 + 5 + 5 + 2) + (14 5/8 + 14 3/4 + 14 7/8 + 15 + 15 1/8)

23 + (14 5/8 + 14 3/4 + 14 7/8 + 15 + 15 1/8)

23 + 74 1/8

97 and 1/8

7 0
2 years ago
Read 2 more answers
. Express the following as a percent: 5 out of 30. Round to the nearest whole number
balandron [24]
5,10,15,20,25,30  that is 1,2,3,4,5,6 6 of 100 is 18
3 0
3 years ago
Read 2 more answers
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