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valentina_108 [34]
3 years ago
9

Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0
X^3 - i(x)^2 - 4x + 4i ....
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What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
vfiekz [6]

Answer:

y=\frac{1}{2}x-5

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines always have the same slope and different y-intercepts

<u>1) Determine the slope (m)</u>

x-2y=6

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

x-2y-x=6-x\\-2y=-x+6

Divide both sides by -2

y=\frac{1}{2} x-3

Now, we can identify clearly that the slope of the given line is \frac{1}{2} since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of \frac{1}{2} as well. Plug this into y=mx+b:

y=\frac{1}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in the given point (-6,-8)

-8=\frac{1}{2}(-6)+b\\-8=-3+b

Add 3 to both sides to isolate b

-8+3=-3+b+3\\-5=b

Therefore, the y-intercept is -5. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x-5

I hope this helps!

7 0
3 years ago
What is 22+54x=-20+60x
krek1111 [17]

Answer:

7

Step-by-step explanation:

22+54x=20+60x

54x=-42+60x

-6x=-42

x=7

4 0
3 years ago
Write the equation of a line that has a slope of -4 and goes through (-2,7).
Anni [7]

Answer:

y = -4x - 1

Step-by-step explanation:

Equation of a line is given as:

y = mx + b

Where

m is the slope

and

b is the y-intercept (y-axis cutting point)

Since we know slope is -4, we can write:

y= mx + b

y = -4x+ b

Given the point (-2,7) , we can say:

x = -2

and

y = 7

Plugging these 2 values, we can solve for b:

y = -4x + b

7 = -4(-2) + b

7 = 8 + b

b = 7 - 8

b = -1

Now, we have the equation:

y = -4x - 1

7 0
3 years ago
A function has y-intercept of -3 and a slope of -7/3. Which equation below describes the function?
Juliette [100K]

Answer:7/8 8/7

Step-by-step explanation:

7 0
3 years ago
PLZZZZZ HELP!!! WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!
postnew [5]

Answer:

radius: DF (it is a line segment drawn from the center of the circle to any point on the circle)

diameter: AC ( it is a straight line passing through the center of the circle and intersecting the circle at two distinct points)

chord : AB ( it is a line segment joining any two points on the circle)

8 0
4 years ago
Read 2 more answers
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