Mathematics High School

Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions.

Equation: −6x2−6=−7x−9

Discriminant: Answer

Solutions:

Answers

Answer 1

Answer:

-6x² - 6 = -7x - 9-6x² + 7x - 6 + 9 = 0-6x² + 7x + 3 = 06x² - 7x - 3 = 0

Discriminant:

D = (-7)² - 4*6*(-3) = 49 + 72 = 121

Since D > 0, there are 2 real solutions:

x = (- (-7) ±√121 )/12x = (7 ± 11)/12x = 1.5, x = -1/3

Related Questions

y is an integer.
Write down all the solutions of the inequality. -8 < 2y < 0

Answers

Answer:

y = - 3, - 2, - 1

Step-by-step explanation:

Given

- 8 < 2y < 0 ( divide each interval by 2 )

- 4 < y < 0

Then y can equal - 3, - 2, - 1

PLEASE HELP I NEED IT TO PASS THIS CLASS

Answers

Answer:

∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°

Step-by-step explanation:

∠ 1 and ∠ 3 are vertical angles and are congruent, then

∠ 1 = 99°

∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so

∠ 2 = 180° - 99° = 81°

∠ 2 and ∠ 4 are vertical angles and are congruent, so

∠ 4 = 81°

1. Find the area of each circle. Use 3.14 for A. Round to the nearest tenth.
5cm
RE

Answers

Answer:

78.5 cm²

Step-by-step explanation:

Area of circle:

A = πr²A = 3.14*5² = 78.5 cm²

54 as a fraction of ____ is equivalent to 9/10

Answers

Answer:

54 as a fraction of 60 is equivalent to 9/10

Step-by-step explanation:

54/x = 9/10

54 * 10 = x * 9

6*9 * 10 = x * 9

6 * 10 = x

x = 60

Which is an example of a statistical question?

Questions
Question 1 How many pets does Alisha have at home?
Question 2 How old were you when you got your first pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?


A question 1
B question 2
C question 3
D question 4

Answers

Answer:

Question 2

Step-by-step explanation:

divdtihcdyuvftujvfujvfubf

Answer:

2

Step-by-step explanation:

NO LINKS plz help
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

14.4

Step-by-step explanation:

16^2 - 7^2 = root of 207

Solve. 1/2(4x + 2/5) = 4/5

Answers

Answer:

[tex]\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}[/tex]

Answer:

x = 3/10

Step-by-step explanation:

Given equation,

→ 1/2(4x + 2/5) = 4/5

Let's solve the problem,

→ 1/2(4x + 2/5) = 4/5

→ 2x + (1/5) = 4/5

→ 2x = (4/5) - (1/5)

→ x = (3/5) × (1/2)

→ [ x = 3/10 ]

Thus, the value is 3/10.

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
5x^2-57x=3x-120

Answers

Answer:

x=6+2√3 or x=6−2√3

Step-by-step explanation:

Let's solve your equation step-by-step by using completing the square.    

5x^2−57x=3x−120

Step 1: Subtract 3x from both sides.

5x^2−57x−3x=3x−120−3x

5x^2−60x=−120

Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

5x2−60x/5 = −120 /5

x2−12x=−24

Step 3: The coefficient of -12x is -12. Let b=-12.

Then we need to add (b/2)^2=36 to both sides to complete the square.

Add 36 to both sides.

x2−12x+36=−24+36

x2−12x+36=12

Step 4: Factor left side.

(x−6)2=12

Step 5: Take square root.

x−6=±√12

Step 6: Add 6 to both sides.

x−6+6=6±√12

x=6±√12

x=6+2√3 or x=6−2√3

Determine if the following triangles are right triangles. Prove your answers using the
Pythagorean Theorem.

12 ft
7 ft
10 ft

Please help

Answers

Answer:

not a right triangle

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 and 12² = 144

7² + 10² = 49 + 100 = 149 ≠ 144

Then triangle is not right

pls help me answer this question

Answers

Answer:

c

Step-by-step explanation:

10*10=100

100-78.54=21.46

so rounded answer is c or 21.5

goodluck on your test

Answer: Hello Luv......

C. 21.5

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

Find the solution of the system of equations.
−2x+9y= -17
-x - 3y = -1

Answers

x=4 y=-1 (4,-1) this is the answer

Answer:

x = 4 and y = −1

(4, -1)

Step-by-step explanation:

I going to solve this system of equations by elimination. (You could also solve by substitution too.)

Multiply the first equation by 1, and multiply the second equation by -2.

1(−2x+9y= -17)

-2(-x - 3y = -1)

Becomes:  

−2x + 9y = −17

2x + 6y = 2

Add these equations to eliminate x:

15y = −15

15y/15 = -15/15

y = -1

Now we solve for x:

-x -3(-1) = -1

-x + 3 = -1

     -3   -3

-x = -4

x = 4

Hope this helped!

What is the volume of the triangular prism shown below?
8 cm
3 cm
13 cm
A 143 cm
B 312 cm
C 156 cm
D
Not here

Answers

Answer:

156 cm

Step-by-step explanation:

−4x−6=−5y+2

Write a formula for g(x), in terms of x.

Please

Answers

There good luck yw ......
Solving for x is 5y over 4 -2

What two numbers multiply together to equal 15 and add together to equal 8?

Answers

5 times 3 equals 15 and 5 plus 3 equals 8

Answer:

5 and 3

Step-by-step explanation:

please mark me brainlist

2+2=4 got it right took the test.

Answers

Answer:

Good for you

Step-by-step explanation:

What is the answer to this problem

Answers

Answer:

791.68

Step-by-step explanation:

have a nice day! :)

What is the value of cose in the diagram below?
a)3/5
b)3/4
c)4/5
d)4/3

Answers

The answer to your question is A which is 3/5

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?​

Answers

Answer:

35

Step-by-step explanation:

525/75=7x5=35

The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.

What are ratio and proportion?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.

Then the number of the children in Eric's school who has red hair will be

Let x be the number of the children. Then we have

[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

Find the base area of a square pyramid
whose base has a side length of 12cm.
A) 148 B) 144
C) 143
D) 140

Answers

Answer:

B) 144 cm^2

Step-by-step explanation:

B) would be the right answer

PLEASE HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

1) .11111

2) 5/9

3) 122/495

4) rational- .167167, 2/9

irrational- π, [tex]\sqrt{225}[/tex]

5) 5.75

riverview soccer team won 10 games and drawn 2 out of 18 games so far this season. what is the probability they will lose their next game

Answers

Dababy ibiviffdyvbif

210 is what percent of 500?

Answers

Answer:

42

hope this answer helps you!

The answer is 42

Explanation:

Step 1: We make the assumption that 500 is 100% since it is our output value.

Step 2: We next represent the value we seek with X.

Step 3: From step 1, it follows that 100%= 500.

Step 4: In the same vein, X%= 210.

Step 5: This gives us a pair of simple equations:

100%= 500(1)
X%=210(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

100%/X%= 500/210

Step 7: Taking the inverse (or reciprocal) of sides yields
X%/100= 210/500
X= 42%

In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°

Answers

Answer:

x = 19

Step-by-step explanation:

The lower base angles in an isosceles trapezoid are congruent , then

5x - 20 = 2x + 37 ( subtract 2x from both sides )

3x - 20 = 37 ( add 20 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

what is the square root of 56?

Answers

Answer:

2 square root 14

Step-by-step explanation:

The square root of 56 is 2 square root 14. 56 = 4 * 14, and 4 can be square rooted into an integer.

Exact Form:
2√14

Decimal Form:
7.48331477

o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл​

Answers

Answer:

3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.

Factorise x^2-3x

plz help me

Answers

x^2 - 3x = x ( x - 3 )

ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ

That would be x(x-3) :)

\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region

Answers

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation:

Circle O has a arc length 34 inches sub tended by an angle of 78 degrees. Find the length of the radius, x, to the nearest tenth of an inch

Answers

Answer: 25 in.

Step-by-step explanation:

Given

Arc length is 34 inches

The angle subtended by the arc is [tex]78^{\circ}[/tex]

arc length l subtending an angle [tex]\theta[/tex] is given by

[tex]\Rightarrow l=\dfrac{\theta }{360^{\circ}}\times 2\pi R[/tex]

Put the values

[tex]\Rightarrow 34=\dfrac{78^{\circ}}{360^{\circ}}\times 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.[/tex]

The sum of twice a number, n, and 14 is 30. Write an equation that models this
statement. Then explain how you might use reasoning to find the value of n.

Answers

Answer:

2n +14 = 30 I can use inverse operations and solve for n.

Step-by-step explanation:

twice means 2 so twice a number,n, means 2 times n thus 2n.

sum means add  so, 2n + 14

is means equal so 2n + 14 = 30

If you solve it you will find n = 8

What is the least possible quotient when two distinct
integers from the set
{-5,-3, -2,0,+1,+6,+18}
are divided?
I NEED THIS ASAP

Answers

Answer:

18 ÷ (-2) = -9

Step-by-step explanation:

18 ÷ (-2) = -9 is the least possible quotient.

To meet the requirement, we should divide the biggest positive number by smallest negative number

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