Write the equation of the line that passes through the points (4,6) and (4,-4). Put

Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

Vladimir [108]

2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.

5 0

4 years ago

Anthony has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the num

Butoxors [25]

Answer:

The answer is c and we'll use c to get the actual answers.

A) n + q = 104

B) .05n + .25q = 22 we'll multiply B) by -4

B) -.2n -1q = -88 then we add A)

A) n + q = 104 which equals

.8n = 16

n = 20 nickels

q = 84 quarters

20 nickels = $1

84 quarters = $21

Successful!!!

Step-by-step explanation:

5 0

4 years ago

Item 10 At 1:00 P.M., you have 24 megabytes of a movie. At 1:15 P.M., you have 96 megabytes. What is the download rate in megaby

alex41 [277]

Answer:

4.8 megabytes / minute.

Step-by-step explanation:

At the beginning of recording the download you have 24 megabytes.

15 minutes later, you have 96 megabytes.

In 15 minutes you have downloaded 96 - 24 = 72 megabytes

So the question turns out to be a proportion of

x megabytes / 1 minute = 72 megabytes / 15 minutes.

x = 72/15

x = 4.8 megabytes / minute

3 0

3 years ago

A) hat contains 4 red marbles and 3 blue marbles. Draw a tree diagram to illustrate the possible outcomes for selecting a marble

Charra [1.4K]

Answer:

there are 7 outcomes.

the chances of one is one in 7 and the chances of two is 1 in 14. the third is somewhere around 43%

Hope this helps!!! Brainliest?!

Step-by-step explanation:

7 0

3 years ago

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

sleet_krkn [62]

Answer:

-6re−r [sin(6θ) - cos(6θ)]

Step-by-step explanation:

the Jacobian is ∂(x, y) /∂(r, θ) = δx/δθ × δy/δr - δx/δr × δy/δθ

x = e−r sin(6θ), y = er cos(6θ)

δx/δθ = -6rcos(6θ)e−r sin(6θ), δx/δr = -sin(6θ)e−r sin(6θ)

δy/δθ = -6rsin(6θ)er cos(6θ), δy/δr = cos(6θ)er cos(6θ)

∂(x, y) /∂(r, θ) = δx/δθ × δy/δr - δx/δr × δy/δθ

= -6rcos(6θ)e−r sin(6θ) × cos(6θ)er cos(6θ) - [-sin(6θ)e−r sin(6θ) × -6rsin(6θ)er cos(6θ)]

= -6rcos²(6θ)e−r (sin(6θ) - cos(6θ)) - 6rsin²(6θ)e−r (sin(6θ) - cos(6θ))

= -6re−r (sin(6θ) - cos(6θ)) [cos²(6θ) + sin²(6θ)]

= -6re−r [sin(6θ) - cos(6θ)] since [cos²(6θ) + sin²(6θ)] = 1

6 0

4 years ago