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AveGali [126]
3 years ago
13

Solve the equation 4z^2 + 4z -9 = 0 by completeing the square​

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

Answer:

z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2

Step-by-step explanation:

To complete the square, the last term has to be 1. So adding 10 to both sides, we get:

4z^2+4z+1 = 10

Since 4z^2+4z+1=(2z+1)^2,

(2z+1)^2 = 10.

Taking the square root of both sides, we get

2z+1=sqrt(10) or 2z+1=-sqrt(10)

So z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2

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Please help me solve my problem!!!
Nookie1986 [14]

Answer:

B. sometimes

Step-by-step explanation:

Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.

Supplementary angles are two angles whose measures add to 180 deg.

If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.

Answer: sometimes

7 0
3 years ago
Solve the following equation: |7 – (24 ÷ | 3-6 |)|<br>(A)15(B)-12(C)1(D)-1
Zepler [3.9K]
PEDMAS

The rule is Paranthesis First

|7-(24÷|3-6|)|

|7-(24÷|-3|)|

Now we have to get the -3 outside the 2 Lines but the lines are saying that if the number inside is negative when you get it outside it has to be positive.

|7-(24÷3)|-

|7-(8)|

|7-8|

|-1|

= 1

3 0
4 years ago
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What are the coordinates of point B in the diagram?
Monica [59]
The correct answer would be (4,-5)
4 0
3 years ago
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Evaluate the following: (Your answers should have an i in them)
Yuliya22 [10]

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6 0
2 years ago
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Find the value of x y and z below !
ehidna [41]

Answer:

x=67, y=121, z=65

Step-by-step explanation:

One property of parallelogram is that opposite angles have the same measure, so we can write down:

(y-9)=112\\y=121

Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:

(z+3)+112=180\\(x+1)+112=180

Solve the equations:

(z+3)+112=180\\z+115=180\\z=65\\(x+1)+112=180\\x+113=180\\x=67

To check, add up all 4 angles and check if they sum up to 360 degrees:

x=67, y=121, z=65\\(y-9)+(x+1)+(z+3)+112=360\\(121-9)+(67+1)+(65+3)+112=360\\112+68+68+112=360\\360=360

And please ignore the fact that I cannot insert the degree sign :(

8 0
3 years ago
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