what is the discriminant and how many solutions?

What Is The Discriminant And How Many Solutions?

Answers

Answer 1

Step-by-step explanation:

[tex]\text{Discriminant} =\Delta = b^2-4ac\\

\implies \Delta = 7^2-4(1)(10)=49-40=9\\

\therefore \Delta >0\\[/tex]

Since the discriminant is greater than zero, there are two real solutions.

Also, the solutions are $x=5$ and $x=2$


Related Questions

6) By which least number should each of the following numbers be divided to make them perfect squares?
a) 3920

Answers

3920|2

1960|2

980|2

490|2

245|5

49|7

7|7

1

[tex]3920=2^4\cdot5\cdot7^2=(2^2)^2\cdot5\cdot7^2[/tex]

It's 5

4x + 5 = x + 26​ need help

Answers

Answer:

x = 7

Step-by-step explanation:

4x + 5 = x + 26

4x - x = 26 - 5

3x = 21

x = 21/3

x = 7

Check:

4*7 + 5 = 7 + 26

28 + 5 = 33

10 points to the person who answers this question.

Answers

Answer:

your answer is

2 X l+b

2 X 6x + 3x

8x + 10...

HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together? I’m not sure if it’s 1.4

Answers

Answer:

2 hrs, 24 min

Step-by-step explanation:

Sally:  in one hour, she can paint 1/4 of the room.

Joe: in one our, he can paint 1/6 of the room

Hour one: 1/4+1/6=3/12+2/12=5/12

1÷5/12=1*12/5=12/5

12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes

Answer: 2.4 hours

Step-by-step explanation:

1/4 1/6

LCM

3/12+2/12=5/12 repricical 12/5 =2.4

A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was Need help will mark brainlist

Answers

Answer:

  37.5 mi/h

Step-by-step explanation:

  time = distance / speed

On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.

On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.

__

  speed = distance / time

The average speed for the whole trip was ...

  speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h

His average rate of speed was 37.5 miles per hour.

Ohm's law states That the current That the current (I) In amps equals the voltage (E) In volts divided by the resistance (R) in ohms. If you connected a two megohm resistor (2 x 10 6 ohms) Across a 2.4 kilovolt Voltage source parentheses 2.4Times 10 to the third power volts) What would be the current in amps

Answers

Answer:

1.2 milli amps

Step-by-step explanation:

From ohms law the expression for voltage is given as

[tex]V= IR[/tex]

Now given that

Voltage, V= [tex]2.4*10^3[/tex] volts

Resistance R= [tex]2*10^6[/tex] ohms

Applying ohms law the current can be calculated by making I the subject of formula

that is I= V/R

[tex]I= \frac{2.4*10^3}{2*10^6} \\\\I= \frac{2.4}{2} *10^(^3^-^6^)\\\\I=1.2*10^-^3[/tex]

The current in amps is 1.2 milli amps

Find the value of x. Round to the nearest tenth.

15.9
12.4
12.8
16.3

Answers

Answer:

x = 15.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 28 = 14/x

x  cos 28 = 14

x = 14 / cos 28

x=15.85598

Rounding to the nearest tenth

x = 15.9

What does the law of cosines reduce to when dealing with a right angle

Answers

Answer:

It is reduced to the equation of the Theorem of Pythagoras.

Step-by-step explanation:

Any triangle can be modelled by this formula under the Law of Cosine:

[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a\cdot c\cdot \cos B}[/tex]

Where:

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Side lengths, dimensionless.

[tex]B[/tex] - Angle opposed to the side [tex]b[/tex], measured in sexagesimal degrees.

Now, let suppose that angle B is a right angle (90º), so that b is a hypotenuse and a and c are legs. Hence:

[tex]\cos B = 0[/tex]

And the equation is reduced to the form of the Theorem of Pythagoras, that is to say:

[tex]b = \sqrt{a^{2}+c^{2}}[/tex]

Please i need to know the meaning of this! : Thanks.

Answers

Come on is your answer

Hope this help




If ∠A and ∠B are vertical angles, what is true about their measures?

Answers

Answer:

they are equal due to the vertical angles theorem

vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent

Answer:

They are equal

Step-by-step explanation:

I just had it on a exam and can I have brainliest Im trying to level up

What is the 6th row of Pascal's triangle?

Answers

Answer:

1, 6, 15, 20, 15, 6, 1

Solving Inequalities and graphing them.

Answers

Answer:

I used to know this not anymore sry g

Area of a trapeziod with a top base length of 6 cm a bottom base length of 12 cm and a height of 5 cm​

Answers

Answer:

A=45cm^2

Step-by-step explanation:

A= h/2(b1 + b2) for trapezoid

A=(5/2(6+12))cm^2

A=(2.5(18))cm^2

A=45cm^2

what seven divided by 4

Answers

Answer:

7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.

Step-by-step explanation:

Pls mark as brainliest answer

The calculated division of the numbers seven divided by 4 is 1 3/4

How to calculate the division of the numbers

From the question, we have the following parameters that can be used in our computation:

seven divided by 4

When represented as an equation, we have

seven divided by 4 = 7/4

Divide 7 by 4

So, we have the following result

seven divided by 4 = 1 3/4

Using the above as a guide, we have the following:

the result is 1 3/4

Read more about quotient at

brainly.com/question/11418015

#SPJ6

Two trees are leaning on each other in the forest. One tree is 19 feet long and makes a 32° angle with the ground. The second tree is 16 feet long. What is the approximate angle, x, that the second tree makes with the ground? A 0.6° B 35.0° C 39.0° D 58.0°

Answers

Answer:

C 39.0

Step-by-step explanation:

To find the approximate angle, x, that the second tree makes with the ground, we can use the concept of similar triangles Therefore the correct option is B.

Let's calculate the height of the first tree using the given information. We can use the formula for the opposite side in a right triangle: opposite = adjacent * tan(angle). Therefore, the height of the first tree is approximately [tex]19 * tan(32°) = 19 * 0.6249 ≈ 11.873[/tex]  feet. Now, we can set up a proportion between the two trees based on their heights. Let x be the angle the second tree makes with the ground.

We have the following proportion: (height of first tree)/(height of second tree) = (length of first tree)/(length of second tree). Substituting the known values, we have [tex]11.873/16 = 19/x[/tex]. Cross-multiplying gives us [tex]11.873x = 304,[/tex]  and dividing both sides by 11.873 yields[tex]x ≈ 25.63°.[/tex]  The approximate angle, x, that the second tree makes with the ground is closest to 35.0°.

Hence the correct option is B

To know more about triangle visit:

https://brainly.com/question/30966657

#SPJ2

what is the angle taken in anticlockwise direction between (1) North-east and south- west​

Answers

Answer:

Step-by-step explanation:

North-east has a bearing of 45 degrees

South-west has a bearing of 225 degrees.

Taken anticlockwise,

angle = south-west - north-east

=  (225-45)

= 180 degrees

answer

hope this helps....

Microsoft Excel might be useful when establishing relationships involving vertex-edge graphs.
O True
False

Answers

Answer:

True

Step-by-step explanation:

Microsoft Excel is a great tool and has saved me on countless occasions in graphs and tables. I agree with the earlier answer by Hedland.

Simplify the following expression.

Answers

Answer:

3x+11y-3

Step-by-step explanation:

Hey! So here is what you do to solve the problem-

Combine like terms:

(x) 5x-2x=3x

(y) 3y+8y=11y

(#) 7-10 =-3

So....

3x+11y-3 is your answer!

Hope this helps!:)

In the expression 2^3 the 2 is known as the


base

exponent

rational number

irrational number

Answers

Answer:

Hey there!

In this problem, 2 is known as the base.

Let me know if this helped :)

Answer:

The Base

Step-by-step explanation:

The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.

2 is being raised to the third power. This means that 2 is the base of the power.

3 would be the exponent in the power.

Brainilest Appreciated.

What is the value of the 6 in 13.76?

Answers

Answer:

0.06

Step-by-step explanation:

This is because the 6 is in the hundredths place.

━━━━━━━☆☆━━━━━━━

▹ Answer

0.06 (Hundreths)

▹ Step-by-Step Explanation

The '6' is in the hundreths place. This is written as 0.06. As a fraction, it is written as 6/100.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

If P = (3,4), Find: Rx=1 (P)

Answers

Answer:

-1, 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is (-1,4)

Solve x∕4 + y∕3 = 1 for x.

Answers

Answer:

x = [tex]\frac{12-4y}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{4}[/tex] + [tex]\frac{y}{3}[/tex] = 1

Multiply through by 12 to clear the fractions

3x + 4y = 12 ( subtract 4y from both sides )

3x = 12 - 4y ( divide both sides by 3 )

x = [tex]\frac{12-4y}{3}[/tex]

Find the slope and the y-intercept of the line.
- 8x+4y=-4
Write your answers in simplest form.
slope:
.
08
Undefined
X
$
?
y-intercept: 1

Answers

Answer:

slope - (2x)

y-intercept - (-1)

Step-by-step explanation:

-8x + 4y = - 4

4y = 8x - 4

y = 2x - 1

A triangle and the coordinates of its vertices is shown in the coordinate plane below. Enter the area of this triangle in square units, rounded to the nearest tenth. square units

Answers

Answer:

22 units²

Step-by-step explanation:

1/2b*h=area

You can either count the units or use the distance formula.

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

b = 4 units

h = 11 units

area = (1/2*4)*11 = 22 units²

Solve for x. 23x +2=15x+48x+6

Answers

Answer:

[tex]x = - \frac{1}{10} [/tex]

Step-by-step explanation:

23x +2 = 15x+48x+6

To solve for x group like terms

That's

Send the constants to the right side of the equation and those with variables to the left side

We have

23x - 15x - 48x = 6 - 2

Simplify

- 40x = 4

Divide both sides by -40

[tex] \frac{ - 40x}{ - 40} = \frac{4}{ - 40} [/tex]

We have the final answer as

[tex]x = - \frac{1}{10} [/tex]

Hope this helps you

If you simplify both sides, it shows that 23x+2=63x+6. If you cancel out the x, it shows that 2=40x+6. If you cancel out the numbers it shows that -4=40x. Divide all sides to show that -1/10=x.

Rose likes to water ski using her sister's boat. The boat takes 3 gallons of gas each hour to run. Gas costs $5 per gallon, how much money will she spend on gas to ski for 4 hours?

Answers

Answer:

$60

Step-by-step explanation:

Answer:

60$

Step-by-step explanation:

3 gallons per hr

multiply by 4

12gl  per 4hrs

5 dl per gl

multiply by 12

60 dl per 12 gl

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

   ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                  PEACE!

1/4(8x-4)=
need help please answer

Answers

Answer:

2x-1 is the answer (or if you're trying to multiply it, the answer is -8.)

Step-by-step explanation:

Could you help with maths please? All shown on the picture :)

Answers

Answer:

4 is tenths (a) and 5 is hundredths (b)

Step-by-step explanation:

Now, 0.45

0 indicates the ones place (it comes before the decimal)

0.45 can also be written as:

0.4+0.05

= 4/10+5/100

what can we conclude from this?

we can say that 4 is in the tenths whilst 5 is in the hundredths.

therefore, a is 4 and b is 5.

Hope this helps you! :)

if the gradient of the line joining the points [4,-9]and [-3,h]is -3, find the value of H

Answers

Answer:

h = 12

Step-by-step explanation:

To find the value of h use the formula for finding the slope of a line

That's

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Where ( x1, y1) and (x2 ,y2) are the points

From the question

slope = - 3

The points are [4,-9] and [-3,h]

Substitute these values into the equation

We have

[tex] - 3 = \frac{h + 9}{ - 3 - 4} [/tex]

[tex] - 3 = \frac{h + 9}{ - 7} [/tex]

Cross multiply

That's

- 3(-7) = h + 9

21 = h + 9

h = 21 - 9

We have the final answer as

h = 12

Hope this helps you


Use the least common denominator of 10 and 15 to solve 2/10+7/15 .

Answers

Answer: 2/3

Step-by-step explanation: As you can see, the denominators are different so we need to find a common denominator to add these 2 fractions.

We find the common denominator by finding

the common multiple for these 2 denominators.

Multiples of 10

1 x 10 = 10

2 x 10 = 20

3 x 10 = 30

Multiples of 15

1 x 15 = 15

2 x 15 = 30

As you can see, we have a common multiple of 30.

To get 30 in the denominator of 2/10, multiply top and bottom by 3.

To get 30 in the denominator of 7/15, multiply top and bottom by 2.

So we have 6/30 + 14/30 which is 20/30.

20/30 can be reduced to 2/3.

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