1 What number is equivalent to the expanded form shown below?
A.203.043
B.203.403
C.230.430
D.230.403
Can someone help me with this

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:

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:

C ASA

Angle side Angle.....

Answer: 440 ft

Step-by-step explanation:

The top walking deck is 120ft long and yet comprises only 3/11 of the ships total length.

Assuming the total length of the ship is x ft long, the expression would therefore be:

x * 3/11 = 120 ft

The above shows that if x is multiplied by 3/11 it will give a distance of 120ft which is the top walking deck length.

Solving for x:

x * 3/11 = 120

x = 120 ÷ 3/11

x = 120 * 11/3

x = 440 ft

Note: When being divided by a fraction, you can multiply the inverse of the fraction to find the result.

Answer:

70

Step-by-step explanation:

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

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.

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Answer: 56%

Step-by-step explanation: To write the fraction 28/50 as a percent, remember that a percent is a ratio that compares a number to 100.

So we need to find a fraction that's equivalent

to 28/50 that has a 100 in the denominator.

To do this, we set up a proportion.

So we have 28/50 = n/100.

To find the value of n, we first find the fraction that

is equivalent to 28/50 that has a denominator of 100.

If we multiply both the numerator and denominator of

28/50 by 2, we can see that 28/50 = 56/100.

So 28/50 is equal to 56/100 or 56%.

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:

Step-by-step explanation:

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

Answer:

the answer is eight dollars and thirty four cents $8.34

Answer:

a

Step-by-step explanation:

i did this test and question beforer si know what it iso

Answer:

Angela by 3 sf per hour

Step-by-step explanation:

60÷15=4

28×4=112

115-112=3

Answer:

10 inches

Step-by-step explanation:

Given

Shape: Isosceles Triangle

[tex]Perimeter=24\ in[/tex]

[tex]Side = 4\ in[/tex]

Required

Find the length of the other two sides

Represent the other sides with x.

Since it is an isosceles triangle, 2 sides are equal.

So, we have:

[tex]x + x + 4 = 24[/tex]

[tex]2x + 4 = 24[/tex]

Collect Like Terms

[tex]2x = 24-4[/tex]

[tex]2x = 20[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{20}{2}[/tex]

[tex]x = \frac{20}{2}[/tex]

[tex]x = 10[/tex]

The other sides are 10in each

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 36π

r³ = 27

r = ∛27 = 3 ft³

surface area of sphere = 4πr² = 36π ft²

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

Step-by-step explanation:

xd?isjdueueoowollw lqnsks

Answer:

5

Step-by-step explanation:

5

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:

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:

$15.70

Step-by-step explanation:

The formula for a circle's area is πr^2 and so the radius is 10/2 or 5. 3.14*5^2 is 78.54. Multiply this by $0.20 to get the total cost of the pizza. The total cost is $15.70.

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.

Answer:

P(0, -1)

Q(3, -2)

R(2, 7)

Step-by-step explanation:

9 units right : +9 to each x-coordinate

11 units up: +11 to each y-coordinate

P(-9+9, -12+11) = P(0, -1)

Q(-6+9, -13+11) = Q(3, -2)

R(-7+9, -4+11) = R(2, 7)

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:

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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