URGENT i need the answer for number 23 tyyyy

Answer:

The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]

Step-by-step explanation:

Given

Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]

Required

Determine two additional roots

For a polynomial with two rational roots, the additional roots are the conjugates of the roots.

Take for instance, the following expression:

[tex]a + \sqrt b[/tex]

The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].

Having established how to determine the additional roots, we proceed to determine the roots.

The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]

Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]

Answer:

5.2 Minutes, or 5 minutes and 12 seconds

Step-by-step explanation:

You can solve this problem by working backward.  Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already.  When we do this, we get 4.0.  When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.

Given:

The system of equations is

[tex]8x+9y=36[/tex]

[tex]3x+4y=16[/tex]

To find:

The solution of the given system of equations using the substituting method.

Solution:

We have,

[tex]8x+9y=36[/tex]           ...(i)

[tex]3x+4y=16[/tex]            ...(ii)

From (ii), we get

[tex]3x=16-4y[/tex]

[tex]x=\dfrac{16-4y}{3}[/tex]          ...(iii)

Putting this value in (i), we get

[tex]8\left(\dfrac{16-4y}{3}\right)+9y=36[/tex]

Multiply both sides by 3.

[tex]8(16-4y)+27y=108[/tex]

[tex]128-32y+27y=108[/tex]

[tex]-5y=108-128[/tex]

[tex]y=\dfrac{-20}{-5}[/tex]

[tex]y=4[/tex]

Putting y=4 in (iii), we get

[tex]x=\dfrac{16-4(4)}{3}[/tex]

[tex]x=\dfrac{16-16}{3}[/tex]

[tex]x=\dfrac{0}{3}[/tex]

[tex]x=0[/tex]

Therefore, the solution of given system of equations is (0,0).

Answer:

A'C'=AC=3

Step-by-step explanation:

Answer:

C: 3 units

Step-by-step explanation:

Just think about it... 180 degrees rotated is exactly opposite rotation degree.

If you rotate 90 degrees, the triangle will end up on quadrant 4.

Rotate 360 degrees, the triangle will stay in the same quadrant.

In conclusion, C is the best option

Answer:

Step-by-step explanation:

Add 9 to both sides

2x = -22

Divide both sides by 2

x = -11

Answer:

3:7

Step-by-step explanation:

The number of rabbits is 12 while the total number of animals

7 + 12 + 6 + 3 = 28

So the ratio of rabbits to animals is 12:28 = 3:7

Answer:

70

Step-by-step explanation:

the sum of the three is 180, so c is 60, a is 70, and b is 50.

Answer:

5

Step-by-step explanation:

5

If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.

Then the value of x will be

The value of x will be given by the sine rule.

sin θ = x/h

WE have

θ = 57°

h = 4 cm

Then we have

sin 57° = x/4

x = 3.3546

x ≅ 3.36

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Answer:

Step-by-step explanation:

The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.

Answer:

37.2093%

Step-by-step explanation:

(V2−V1)|V1|×100

=(118−86)|86|×100

=3286×100

=0.372093×100

=37.2093%change

=37.2093%increase

Answer: 564

Step-by-step explanation:

Answer:

The output would be 564

Step-by-step explanation:

If the input is 12, then the output would be 12 * 47 which is 564.

Answer:

A mixture?

Step-by-step explanation:

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x

Answer:

54

Step-by-step explanation:

6x=9x-27

x=9

9*9-27=54

Answer:

yes

Step-by-step explanation:

so x=2 and y=5

5 = 5 x 2 - 5

0=0

equation is right

Answer:

609 males

Step-by-step explanation:

A city council organized a marathon race to promote good health.

Let the number of

Females = x

Males = y

There were 3 times as many female participants as male participants in the marathon.

3x = y

If the total number of participants was 812,

x + y = 812..... Equation 1

We substitute 3x for y in Equation 1

x + 3x = 812

4x = 812

x= 812/4

x = 203 females

3x = y

Solving for y

3(203) = 609 males

The number of males participants = 609

Answer:

15.85%

Step-by-step explanation:

you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.

Answer:

1/16 pound or 0.0625 pound beans.

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Total baked beans = 1/2 pounds

Number of serving = 8

if distribute equal beans in each serving than,

8 serving = 1/2 pound

So, 1 serving = 1/(2×8) pound

= 1/16 pound or 0.0625 pound beans.

Hence, each serving consist of 0.0625 pound  baked beans.

Answer:

1) 50%

2) 25%

3) 33.33 %

4) 30%

5) 65%

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{40 is 20\% of what time number?}\\\\\\\bullet \large\bold{We\ are\ looking\ for\ your\ UNKNOWN\ number; we\ can\ the\ value}\\\large\bold{is\ \underline{a}\ for\ our\ answer!}\\\bullet\large\bold{REMEMBER: Percentages\ are\ out\ 100\ \& the\ word\ \underline{of}\ means\ \underline{multiply}}[/tex]

[tex]\huge\text{NOW LETS SOLVE FOR YOUR ANSWER!}[/tex]

[tex]\bold{Equation: 20\%\ \times \ a\ =\ 40}\\\\\bold{a = \dfrac{40}{20\%}}}\\\\\bold{20\% = \dfrac{20}{100}\rightarrow 0.2}}}\\\\\bold{Equation: a = \dfrac{40}{0.2}}\\\\\bold{\dfrac{40}{0.2}=200}\\\\\bold{a=200}\\\\\boxed{\boxed{\bold{Answer: 200}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Angela by 3 sf per hour

Step-by-step explanation:

60÷15=4

28×4=112

115-112=3

Answer:

6 square units

Step-by-step explanation:

In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.

I got 3 unites for the height and 4 units for the base

4 x 3 = 12 square units

however the formula for a triangle is Ab/2

so divide 12/2 = 6

So its 6 square units

Answer:

20

Step-by-step explanation:

9=-5b-23

9+23=-5b

32=-5b

32/-5=b. ..(here 32/-5= 32 upon -5)

-6.4=b

The required simplified value of b for the given expression is b = -2.8.

GIven that,
To determine the simplified value of b for the expression 9 = - 5b - 23.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
the given expression,

9 = - 5b - 23
Simplifying,
-5b = 23 - 9
-5b = 14
b = -14 / 5
b = -2.8

Thus, the required simplified value of b for the given expression is b = -2.8.

Learn more about simplification here: https://brainly.com/question/12501526

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