Complete the tables of values.

Any of y'all understand how do do any of this?

Luda [366]

Answer:

10.) 12 + 3i

11.) 3 - i

A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x + y is x - y. We can also say that x + y is a conjugate of x - y.

12.) x² - 8x + 17 = 0

Let's solve your equation step-by-step.

x² − 8x + 17 = 0

Step 1: Use quadratic formula with a=1, b=-8, c=17.

x= −b±√b2−4ac / 2a

x= −(−8) ± √(−8)2−4(1)(17) / 2(1)

x= 8 ± √−4 / 2

There are no real solutions.

13.) x²- 8x + 17 = 0

Let's solve your equation step-by-step.

x² − 8x + 17 = 0

Step 1: Use quadratic formula with a=1, b=-8, c=17.

x= −b ± √b2−4ac / 2a

x= −(−8) ± √(−8)2−4(1)(17) / 2(1)

x= 8 ± √−4 / 2

There are no real solutions.

Step-by-step explanation:

To solve a quadratic equation by factoring,

Put all terms on one side of the equal sign, leaving zero on the other side.

Factor.

Set each factor equal to zero.

Solve each of these equations.

Check by inserting your answer in the original equation

I hope this helps!

lmk if u have any questions

brainliest is appreciated... :3

4 0

3 years ago

What is the area of the triangle? 5 4 3 units?

tankabanditka [31]

Answer:

6 units squared

Step-by-step explanation:

Formula:

area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )

Assign variables:

A = 5, B = 4, C = 3.

Distribute:

area = 0.25 * √( (5 + 4 + 3) * (-5 + 4 + 3) * (5 - 4 + 3) * (5 + 4 - 3) )

Combine like terms

area = 0.25 * √( (12) * (2) * (4) * (6) )

Multiply:

area = 0.25 * √(576)

Square root:

area = 0.25 * 24

Multiply:

area = 6 units squared

4 0

2 years ago

Consider the line y = 7x-9.

KatRina [158]

$y = \frac{-1}{7}x -\frac{8}{7}$ is the equation of the line that is perpendicular to this line and passes through the point (6, -2)

y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

Solution:

Given that line is:

y = 7x - 9

The equation of line in slope intercept form is given as:

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

On comparing eqn 1 with y = 7x - 9 we get,

m = 7

<h3>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

$7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}$

Now find the equation of line:

$\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}$

$-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}$

$\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}$

Thus the equation of line perpendicular to given line is found

<h3>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</h3>

Slopes of parallel lines are equal

Therefore, m = 7

Substitute m = 7 and (x, y) = (6, -2) in eqn 1

-2 = 7(6) + b

-2 = 42 + b

b = -44

Substitute m = 7 and b = -44 in eqn 1

y = 7x - 44

Thus equation of line parallel to given line is found

8 0

3 years ago

What is 10 15/4 equivalent to

GrogVix [38]

Answer:

(10×4 +15) / 4

(40+15) / 4

55/4

7 0

3 years ago

PLZ HELP!

Mandarinka [93]

Answer:

3 7/9

Step-by-step explanation:

we have

3.77777... -----> is a repeating decimal

Let

x=3.7...

so

10x=37.7...

10x-x=37.7...-3.7...

9x=34

x=34/9

Convert to mixed number

34/9=(27/9)+((7/9)=3+(7/9)=3 7/9

3 0

3 years ago