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Nikolay [14]
2 years ago
15

Solve the following equation algebraically: Negative 16 = 16 x squared How many solutions does this equation have? Explain. a. N

egative 1 = x squared; One solution because only -1 will satisfy the equation. b. Negative 1 = x squared; No real solution because there is no real number that, when squared, produces -1. c. 1 = x squared; Two solutions because the square root of 1 is positive 1 and negative 1. d. 1 = negative x squared; One solution because only -1 will satisfy the equation.
Mathematics
1 answer:
Stella [2.4K]2 years ago
5 0

Answer:

The correct answer is b.

Step-by-step explanation:

16 {x}^{2}  =  - 16

{x}^{2}  =  - 1

No real solutions.

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Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).
Dmitry_Shevchenko [17]

Answer:

-17

Step-by-step explanation:

8x -2y= 12

<em>Divide</em><em> </em><em>the</em><em> </em><em>whole</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>

4x -y= 6

<em>Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).</em>

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

<em>To find the y-intercept of the lone, substitute a pair of coordinates.</em>

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.

7 0
2 years ago
Whats the answer it would be kind if someone told me
sattari [20]

Answer: D

Step-by-step explanation:

7 0
2 years ago
Help, please! 10 points to solve.
sineoko [7]
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6 0
3 years ago
The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose e
LUCKY_DIMON [66]

Answer:

9 units

Step-by-step explanation:

Given

Length = 8

Width = 4

Height = 1

Required

Determine the length of the longest segment

To do this, we use:

Longest = \sqrt{Length^2 + Width^2 + Height^2}

So, we have:

Longest = \sqrt{8^2 + 4^2 + 1^2}

Longest = \sqrt{64 + 16 + 1}

Longest = \sqrt{81}

Take positive square root

Longest = 9

<em>Hence, the length of the longest segment is 9 units</em>

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3 years ago
What is 99,999 rounded to the nearest thousands
konstantin123 [22]
100,000

is the answer 
5 0
3 years ago
Read 2 more answers
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