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3 years ago

The discriminant of the quadratic equation 2x2 - 4x + 3 = 0 is

Mathematics

2 answers:

Lyrx [107]3 years ago

8 0

It’s A. The answer is -8

inna [77]3 years ago

6 0

Answer:

(A) -8

Step-by-step explanation:

∆=b^2 -4ac= (-4)^2-4(2)(3)= -8

Since discriminant<0, then the equation has no roots.

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Determine whether the equation Y=x^2 +13 represents a linear or non linear function and explain

telo118 [61]

Answer:

yés it is linear because

two variables that gives a straight line when plotted on a graph.

if it was correct tell me good or it was mistake tell me truth

Step-by-step explanation:

hope it was correct

3 0

1 year ago

A small Business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio

lukranit [14]

Answer:
Rate of change of profit for this period = $2750 / month

4 0

3 years ago

Each side of a cube measures 5 cm in length. What is the cubes volume?

AysviL [449]

____________________________________________________

Answer:

Your answer would be 125 cm³

____________________________________________________

Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

$V = a^{3}$

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

$V = 5^{3}$

Now we solve:

$5^{3} = 125\\$

This is also the same as:

$5 *5*5 = 125$

Your FINAL answer should be 125 cm³

____________________________________________________

8 0

3 years ago

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A map scale is 1 in: 50 mi. Two cities are 450 miles apart. How far apart are the cities on the map?

Mama L [17]

Answer in the document below.

3 0

3 years ago

Read 2 more answers