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gregori [183]
4 years ago
14

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

Mathematics
1 answer:
Luda [366]4 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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Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5​
Bond [772]

Answer:

The solution to the equation system given is:

  • <u>x = 2</u>
  • <u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

  1. 2x + 3y = 1
  2. 3x + y = 5​

Following Crammer's Rule, we have the matrix form:

\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Now we solve using the determinants:

x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2

y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

  • 2x + 3y = 1
  • 2(2) + 3(-1)= 1
  • 4 - 3 = 1
  • 1 = 1

And, with the second equation:

  • 3x + y = 5​
  • 3(2) + (-1) = 5
  • 6 - 1 = 5
  • 5 = 5

 

4 0
3 years ago
If you know the measure of the vertex angle of an isosceles triangle, how do you find out the measure of the base angles?
Irina-Kira [14]

Answer:

Step-by-step explanation:

An isosceles triangle has 2 sides that are the same length.  Let's say that our triangle has the 2 sides measuring the same and the base is a different length.  The vertex angle is the top angle.  By the definition of an isosceles triangle, since the 2 sides measure the same length, then the angles across from those sides have the same degree measure.  If we know the measure of the vertex angle, then we have

180 = vertex angle - base angle - base angle

but since the base angles are the same and we have 2 of them, then

180 = vertex angle - 2 base angles

For example, if the vertex angle measures 80 degrees, then 180 - 80 = 100.  That 100 has to be split in half for each of the base angles which are the same as each other.  So the vertex angle is 80 and each base is 50.

6 0
3 years ago
Giving brainlist for correct answer. :))
AfilCa [17]

Answer:

Here is the steps. 67.5 cm^3

Step-by-step explanation:

4.5 * 6 = 27

27 * 2.5 = 67.5

4 0
2 years ago
Read 2 more answers
Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.
SpyIntel [72]
Answer

She used 6/15 litres of oil in January

Explanation

We are given that, in January, she used 3/5 of the amount of oil she used in February.

We are also given that, she used 2/3 litres of oil in February.

Therefore, amount of oil used in January is:

3/5 • 2/3 = 6/15

She used 6/15 litres of oil in January
6 0
3 years ago
Read 2 more answers
What is 2 x 2 ? Plz say fast<br> Hehe​
gogolik [260]

Answer:

It is 5*5*4/25

Hope it helps

haha

3 0
3 years ago
Read 2 more answers
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