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gregori [183]
3 years ago
14

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

Mathematics
1 answer:
Luda [366]3 years ago
4 0

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

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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

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3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
2x≥12 <br>I can't figure this out ​
Serhud [2]

Answer:

x \geq 6

Step-by-step explanation:

You can start by dividing both sides by 2, getting x \geq 6.

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