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8_murik_8 [283]
3 years ago
5

In your own words explain why a quadratic equation can't have one imaginary solution.

Mathematics
1 answer:
Masja [62]3 years ago
7 0
A quadratic equation cannot have one imaginary solution because of the discriminant enclosed in a radical. The discriminant, √(b² - 4ac), determines the nature of the roots and it can only be either 2 real roots, 1 real solution or 2 imaginary roots. Hope this answers the question.
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Find the volume of the composite figure.First, find the volume of the cylinder.Use 3.14 for it.CylinderVolume = [?] cm9 cm9 cmCu
skad [1K]

Solution

- The question gives us a composite figure made up of a cylinder and a cube.

- We are required to find the volume of the cylinder and the cube and then use the results to find the volume of the composite figure.

- The formulas needed for this calculation are:

\begin{gathered} Volume\text{ of Cylinder}=\pi\times r^2\times h \\ where, \\ r=radius\text{ of the cylinder} \\ h=height\text{ of the cylinder} \\  \\ Volume\text{ of Cube}=l^3 \\ where, \\ l=dimension\text{ of the cube} \\  \\ Volume\text{ of Composite figure}=Volume\text{ of Cylinder }+Volume\text{ of Cube} \\  \end{gathered}

- With the information above, we can proceed to solve the question

Volume of the Cylinder:

\begin{gathered} V=\pi\times r^2\times h \\ r=\frac{6}{2}=3\text{  \lparen Since 6cm is the diameter of the cylinder\rparen} \\ h=4 \\  \\ \therefore V=\pi\times3^2\times4 \\  \\ V=36\pi cm^3 \end{gathered}

Volume of Cube:

\begin{gathered} V=l^3 \\ l=9 \\ \therefore V=9^3=729cm^3 \end{gathered}

Volume of Composite Figure:

\begin{gathered} V=36\pi+729 \\ use\text{ }\pi=3.14 \\  \\ V=36\left(3.14\right)+729 \\  \\ V=842.04cm^3 \end{gathered}

Final Answer

The volume of the composite shape is 842.04 cm³

6 0
1 year ago
Whoever reads this I hope you have a great day and don't forget to smile :)<br> #spread positivity
svetlana [45]

Answer: ty! I hope you do too ✨

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(-42.27,4.4) and (2.27,3.1) what is the slope?​
kaheart [24]

Answer:

i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

<h2><u>HELP KEY FOR SLOPE RIGHT HERE!</u></h2>

Using the Slope Equation:

Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

How do you calculate rise over run?

Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.

What does a slope of mean?

The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.

How do I find slope?!

<u>The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .</u>

I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)

PLEASE GIVE ME BRAINLIEST! have a great day.

4 0
3 years ago
Struggling lol. Any help would be appreciated!
Alekssandra [29.7K]

Answer:

Heptagon = 84 ft²

Octagon  = 186 yd²

Triangle = 48√3 m²

Step-by-step explanation:

\textsf{area of a regular polygon}=\dfrac12ap

where:

  • a = length of apothem
  • p = perimeter

<u>Heptagon</u>

a = 5.0 ft

p = 33.6 ft

⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²

<u>Octagon</u>

a = 7.5 yd

p = 8 x 6.2 = 49.6 yd

⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²

<u>Triangle</u>

Formula for the apothem of an equilateral triangle :

a=\dfrac{s}{2\sqrt{3}}  where s = side length

a = 4, so:

4=\dfrac{s}{2\sqrt{3}}

\implies 8\sqrt{3}=s

Now we know the side length, we can calculate the perimeter (p):

p = 3 x 8√3 = 24√3

⇒ area = 1/2 x 4 x 24√3 = 48√3 m²

8 0
2 years ago
What is the equation of a line that passes through the points -2 -2 and has a slope of four
andrey2020 [161]

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 2, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = 4x + 6 ← equation of line

7 0
3 years ago
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