which of the following statements about jk and jl is true?

Answer:

A.

Step-by-step explanation:

I just did this problem and guessed correctly.

The complex solutions of which equation have a real component of 4 is x² - 8x +16 +21 = 0.

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

On solving all equation the correct one is x² - 8x +16 = -21.

Using discriminant method calculating the roots

x² - 8x +16 +21 = 0

x² - 8x + 37 = 0

x= -b ± √b² -4ac / 2a

x= 8 ± √ -8² - 4*1 * (37) /2a

x= 8 ± √- 84 / 2

x= 8 ± √2² *(- 21) /2

x=( 8 ± √2² *√21 i)/2

x= 8 / 2 ± 2i√21/2

x= 4 ± √21 i

So, x = 4+ √21 i and x= 4 - √21 i

Learn more about complex numbers here:

https://brainly.com/question/10251853

#SPJ2

Answer:

The equation of the parallel line is y = 2x  

Step-by-step explanation:

The slope-intercept form of the linear equation is:

y = m x + b, where

Parallel lines have the same slopes and different y-intercepts

∵ The equation of the given line is 4x - 2y = 6

→ To find the slope of this line re-arrange it to be in the

   slope-intercept form Subtract 4x from both sides to move x to

   the right side

∵ 4x - 4x - 2y = 6 - 4x

∴ -2y = 6 - 4x

→ Divide both sides by -2 to make the coefficient of y = 1

∵ [tex]\frac{-2y}{-2}=\frac{6}{-2}-\frac{4x}{-2}[/tex]

∴ y = -3 - (-2x)

∴ y = -3 + 2x

→ Swithch -3 and 2x

∴ y = 2x - 3

→ Compare it by the form of the equation above to find m

∴ m = 2

∴ The slope of the given line is 2

∵ The two lines are parallel

∴ The slope of the parallel line is 2

→ Substitute it in the form of the equation above

∴ y = 2x + b

→ To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The line passes through the point (1, 2)

∴ x = 1 and y = 2

∵ 2 = 2(1) + b

∴ 2 = 2 + b

→ Subtract 2 from both sides to find b

∴ 2 - 2 = 2 - 2 + b

∴ 0 = b

∴ y = 2x

The equation of the parallel line is y = 2x    

Answer:

If two angles are equal, then they are congruent.

Step-by-step explanation:

Answer:

  $12.92

Step-by-step explanation:

The total being split 3 ways is ...

  $32.85 × (1 + 0.18) = $38.76

So each pays ...

  $38.76 / 3 = $12.92 . . . amount each person pays

Answer: 4 1/2 and 9/2

Step-by-step explanation: 5/10 can be simplifed into 1/2 and for the improper fraction, you just turn the 4 into halves which is 8 halves

Answer:

4.5 as a mixed number is 4 1/2 and as a improper fraction it is 9/2

Answer:

She got 25% off. She paid $63.

Step-by-step explanation:

Answer:

  31

Step-by-step explanation:

20% of 40 is 0.20·40 = 8.

Shane donates 8 and sells 1 of his books. That leaves him with 40-8-1 = 31 books that he sells online.

Answer:

It’s 20

Step-by-step explanation:

Answer:

it is a rational

Step-by-step explanation:

The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.

Answer:

Every inch is represents 150 feet

Answer:

- 10

Step-by-step explanation:

Step 1:

5 ( x - 4 ) = 7x       Equation

Step 2:

5x - 20 = 7x       Multiply

Step 3:

- 20 = 2x      Subtract

Step 4:

x = - 20 ÷ 2     Divide

Answer:

x = - 10

Hope This Helps :)

Answer:

3/13

Step-by-step explanation:

There are 28 students.  1 studies biology but not art.  1 studies neither subject.  Therefore, there are 26 students who study art.

Of the 26 students who study art, 6 also study biology.  So the probability is 6/26, which reduces to 3/13.

Answer:

4x10^6

can you also please mark me as brainliest?

Answer:

The third is correct.

Step-by-step explanation:

Preimage: A(2,3), B(5,6), C(8,6), D(8,3)

Image: A'(-2, 6); B'(-5,3); C'(-8,3); D'(-8,6)

Option 3.

                Translation              Rotation 180° Clockwise

                   (x, y-9)                              (-x,-y)

A(2,3)            (2,-6)                              A' (-2,-6)

B(5,6)            (5,-3)                              B' (-5,3)

C(8,6)            (8,-3)                              C' (-8,3)

D(8,3)            (8,-6)                               D' (-8,6)

Transformation involves changing the position of a shape.

The sequence of transformation is: (d) A translation rule by [tex]\mathbf{(x,y) \to (x, y - 9)}[/tex] and then a 180 degrees clockwise rotation about the origin

The coordinates of the pre-image is:

[tex]\mathbf{A = (2,3)}[/tex]

[tex]\mathbf{B = (5,6)}[/tex]

[tex]\mathbf{C = (8,6)}[/tex]

[tex]\mathbf{D = (8,3)}[/tex]

Of the given sequence of transformations, option (d) is correct.

The proof is as follows.

First, translate ABCD by (x, y - 9)

So, we have:

[tex]\mathbf{(x,y) \to (x, y - 9)}[/tex]

[tex]\mathbf{(2,3) \to (2, -6)}[/tex]

[tex]\mathbf{(5,6) \to (5, -3)}[/tex]

[tex]\mathbf{(8,6) \to (8, -3)}[/tex]

[tex]\mathbf{(8,3) \to (8, -6)}[/tex]

Next, rotate by 180 degrees.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (-x,-y)}[/tex]

So, we have:

[tex]\mathbf{(2,-6) \to (-2,6)}[/tex]

[tex]\mathbf{(5,-3) \to (-5,3)}[/tex]

[tex]\mathbf{(8,-3) \to (-8,3)}[/tex]

[tex]\mathbf{(8,-6) \to (-8,6)}[/tex]

From the graph, the coordinates of the image are:

[tex]\mathbf{A" = (-2, 6)}[/tex]

[tex]\mathbf{ B" = (-5,3)}[/tex]

[tex]\mathbf{C" = (-8,3)}[/tex]

[tex]\mathbf{D" = (-8,6)}[/tex]

Hence, the sequence of transformation is:

(d) A translation rule by [tex]\mathbf{(x,y) \to (x, y - 9)}[/tex] and then a 180 degrees clockwise rotation about the origin

Read more about transformations at:

https://brainly.com/question/11707700

Answer:

30(-2) = -60

Step-by-step explanation:

The change in speed from a higher location to a lower location is 2 m/s, v = -2 m/s (from higher to lower)

We need to find the equation that models the change in the bird's position at 30 seconds.

Distance = speed × time

change in position = (-2) × 30

= -60

Hence, the correct option is (B).

Step-by-step explanation:

Answer:

74 is the answer bruhh

Step-by-step explanation:

180 - 106 = 74

Answer:

165.6

Step-by-step explanation:

165.6 is 72% of 230  

Answer:

64 ounces

Step-by-step explanation:

Given.

Represent blue with b and yellow with y

b = 3

y = 8

Required

What's the value of y when b = 24

Represent the given and required parameters as ratio

3 : 8 and 24 : y

Turn the ratio to an equation

3 : 8 = 24 : y

Represent as fraction

⅜ = 24/y

Multiply both sides by y

⅜y = 24

Make y the subject

y = 24 * 8/3

y = 64

Hence:

64 ounces of yellow paints is required for 24 ounces of blue paints

Answer:

A quick estimated answer would be 5,000-5,100

Step-by-step explanation:

x is equal to 3 if not then I just we are asking the wrong questions

Answer:

26.965

Step-by-step explanation:

Answer:

-15.6 or -15 3/5

Step-by-step explanation:

Answer:

2.3 hours

Step-by-step explanation:

161 divided by 70 = 2.3

if Carlos drives 161 kilometers at a speed of 70 kilometers per hour then it takes 2.3 hours to drive.

Speed is the time rate at which an object is moving along a path,

Given,

Carlos drives 161 kilometers at a speed of 70 kilometers per hour

From the given data distance=161 kilometers

Distance is one hundred sixty one kilometers

Speed=70km/hr.

Speed is seventy kilometer per hour.

Speed=Distance/time

70=161/time

Now cross multiply

time=161/70

Time=2.3hrs

Hence, if Carlos drives 161 kilometers at a speed of 70 kilometers per hour then it takes 2.3 hours to drive.

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ2

Answer: The answer is

1. 0 and 3

2. Two

3. No

Step-by-step explanation:

I took the test and it's right

The graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm y= x^2(x^2 - 6x + 9)[/tex]

We can write it as a:

[tex]\rm y= x^2(x^2 - 2(3)(x)+ 3^2)[/tex]

[tex]\rm y = x^2(x-3)^2[/tex]

To find the zeros equate to the function with the zero.

y = 0

[tex]\rm x^2(x-3)^2=0[/tex]

First, take [tex]\rm x^2= 0[/tex] we get:

x = 0

Now

[tex]\rm (x-3)^2=0[/tex]

x - 3 = 0

x = 3

Thus, the graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.

Learn more about the function here:

brainly.com/question/5245372

Answer:

19

Step-by-step explanation:

f(x) = 3x^2-3x + 1

Let x = -2

f(-2) = 3( -2)^2-3*-2 + 1

       = 3 * 4+6+1

       = 12 +6+1

       = 19

Answer:

Real, Rational, Integer,

Step-by-step explanation:

Real: Most numbers are real so they just naturally fall into this category

Rational: -5 can be written as a fraction so it falls here

Integer: An integer is a number that can be positive, negative, or 0. as long as it doesnt have decmal points, it's an integer

Its not a whole number because whole numbers cannot contain a fraction, decimal, or negative value

Hope this helps!

Answer:

The answer is no he is not correct, here's why.

C) No, he subtracted 1 and 9 instead of adding.

Step-by-step explanation:

Jerrod has found the hypotenuse, with the legs of 3 ft and 1 ft, his process is:

[tex]c^{2}[/tex] = 32 + 12

[tex]c^{2}[/tex] = 9 + 1

[tex]c^{2}[/tex] = 8

c = 8

The legs Jerrod said are 3 ft and 1 ft

so A and B of the formula of pythagorean theorem could be:

[tex]a^{2}[/tex] = (3)[tex].^{2}[/tex]

[tex]b^{2}[/tex] = (1)[tex].^{2}[/tex]

This leads us to:

[tex]3^{2} + 1^{2} = c^{2}[/tex]

which is:

9 + 1 = [tex]c^{2}[/tex]

10 = [tex]c^{2}[/tex]

In this case, Jerrod had calculated wrong by instead of adding he had subtracted.

(I don't know where he got 32 + 12, but other than that his process is correct other than calculation error)

The correct statement for given situation is,

⇒ No, Jerrod made an error to finding the square root.

Any triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Jerrod found the hypotenuse of a right triangle with legs 3 ft and 1 ft.

With steps are,

⇒ c² = 3² + 1²

⇒ c² = 9 + 1

⇒ c² = 8

⇒ c = 8

Now,

We have the steps are,

⇒ c² = 3² + 1²

⇒ c² = 9 + 1

⇒ c² = 8

⇒ c = 8

Clearly, In fourth step we get;

If c² = 8

Then, c = √ 8

But here we have;

⇒ c² = 8

⇒ c = 8

Hence, He made an error finding the square root.

Therefore, The correct statement for given situation is,

⇒ No, Jerrod made an error to finding the square root.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

Answer:

( 6 , 5 )

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.