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4 years ago

Solve for x. (X-8)^2=-8

Mathematics

1 answer:

VikaD [51]4 years ago

7 0

Answer:

x = 8 ± 2i√2

Step-by-step explanation:

√-1 is imaginary number i

Step 1: Write equation

(x - 8)² = -8

Step 2: Solve for <em>x</em>

Square root both sides: x - 8 = √-8
Factor out negative: x - 8 = √-1 · ±√8
Simplify: x - 8 = ±i2√2
Add 8 to both sides: x = 8 ± 2i√2

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4 years ago

State all integer values of x in the interval (2,8) that satisfy the following inequality:

lidiya [134]

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

$5x + 4 \ge 19$

Required

State the values of x within 2 and 8

$5x + 4 \ge 19$

Collect Like Terms

$5x \ge 19 - 4$

$5x \ge 15$

Divide both sides by 5

$\frac{5x}{5} \ge \frac{15}{5}$

$x \ge 3$

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of $x \ge 3$ are: 3,4,5,6 and 7

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3 years ago

Strengths and weaknesses of horizontal and vertical methods for adding and subtracting polynomial

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3 years ago

PLEASE HELP QUICKLY!!!! What is the equation of the line with a slope of -3/4 that goes through the point (−6, 3)?

Yakvenalex [24]

Answer:

$y=-\frac{3}{4}x-\frac{3}{2}$

$y=-0.75x-1.5$

Step-by-step explanation:

step 1

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{3}{4} \\point\ (-6,3)$

substitute

$y-3=-\frac{3}{4}(x+6)$

step 2

Convert to slope intercept form

$y=mx+b$

we have

$y-3=-\frac{3}{4}(x+6)$

Isolate the variable y

$y-3=-\frac{3}{4}x-\frac{9}{2}$

$y=-\frac{3}{4}x-\frac{9}{2}+3$

$y=-\frac{3}{4}x-\frac{3}{2}$

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3 years ago

Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits. How many differen

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Answer:

There are 1,892,800,000 different standard plates that are possible in this system

Step-by-step explanation:

The plates follow the following format:

D - D - L - L - L - D - D - D

For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.

So, there are

10*10*26*26*28*10*10*10 = 1,892,800,000

different standard plates that are possible in this system

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3 years ago