Solve the following quadratic equation. *
x^2+12x-45=0

Answers

Answer 1

Answer:

9 over 5

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

x^2 + 12 - 45 = 0

solving by middle term break method

x^2 + (15 - 3) - 45 = 0

x^2 + 15x - 3x - 45 = 0

x(x + 15) - 3(x + 15) = 0

(x + 15)(x - 3) = 0

either x + 15 = 0            OR, x - 3 = 0

x + 15 = 0

x = 0 -15

x = -12

x - 3 = 0

x = 0 + 3

x = 3

therefore x = -12,3

i have done solution for the given question in two different methods.

the solution done in note copy is by using quadratic formula.

Solve The Following Quadratic Equation. *x^2+12x-45=0

Related Questions

A hall which is 8m long is represented on a diagram as 4 cm long. What is the scale of the diagram?

Answers

Answer:

1cm to 2m

Step-by-step explanation:

self explanatory i think

PLS HELP ASAP!! THX
For questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.

Answers

Answer:

Did you find them ?

Step-by-step explanation:

if the circumfrence of a circl is 18π inches, what is the radius of the circle

Answers

Answer:

r≈2.86

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=18

2·π≈2.86479

please help :))))))))

Answers

Answer C explanation: Alternate interior angles are always congruent

Pls help me with this equation

Answers

Answer:

x = 20 degree

Step-by-step explanation:

Hope this helps u !!

Price of a mobile phone including 10% GST is rs.16,600. Find the p[rice of mobile phone before gst was added

Answers

Answer:

16,600 = 110%, you can do this in your head minus 1,660 GST (whatever that is) 14,940

Step-by-step explanation:

help pls help pls help

Answers

Answer:

18.6

Step-by-step explanation:

We know a side and a angle opposite of that side

(AC and Angle B respectively).

We know another side(AB). and are trying to find a angle opposite of it.

Let use Law of Sines rules.

[tex] \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} [/tex]

Substitute the values in.

[tex] \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } [/tex]

Solve for sin x by taking the reciprocal of both sides.

[tex] \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} [/tex]

Remeber sin 90 =1 and multiply 7 by both sides.

[tex] \frac{1}{22} \times 7 = \sin(x) [/tex]

Take the inverse of sin to find the angle measure.

[tex] \sin {}^{ - 1} (x) = \frac{7}{22} [/tex]

The answer is

18.6

What’s the value of x?
G

53°
45
H


Answers

Answer:

x = 98°

Step-by-step explanation:

95 + 53 + (180 - x) = 180

148 + 180 - x = 180

328 - x = 180

328 - x + x = 180 + x

x + 180 = 328

x + 180 - 180 = 328 - 180

x = 98°

The required measure of the remote exterior angle x is 98°.

Given that,

A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the angle?

The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°

Thus, the required measure of the remote exterior angle x is 98°.

Learn more about Angles here:

https://brainly.com/question/13954458

#SPJ1


Find the area of the triangle. (A = 1/2*b*h)

Answers

the area is 9.8 :)) have a good day

given the function k(x) = 3x -2, k(4) equals?

Answers

Answer:

10

Step-by-step explanation:

3(4) -2 = 12 - 2 = 10

Art class is 5% of an hour each school day. How many hours of art does a student have in five days ?

*no links are allowed. *

Answers

Answer:

okay, so ... In a day, We all have 24 hours in a day

60 mins = 1 hr

5%

5/100×1 hr=

5 days =

okay, this is difficult

If QR = 8 and PR = 14, what is PQ? Write your answer as a decimal or integer.​

Answers

The answer is C
I just took the text

I really need some help. Plz show your work, Thanks!

Answers

Answer:

Step-by-step explanation:

Does anyone know the answer ?!?


Answers

Answer:

40/100 = .4 = 40%

Step-by-step explanation:

the answer is 40% for this question

Given that HCF (306,657) = 9, find LCM (306,657)​

Answers

306 = 9 x 34
657 = 9 x 73
LCM(306,657) = 9 x 34 x 73 = 22338

In general the LCM(a, b) = ab / HCF(a, b)

Answer:

The LCM of 306 and 657 is 22338

Step-by-step explanation:

We know that

HCF (a, b) × LCM (a, b) = a × b

⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657

⇒ 9 × LCM = 306 × 657

⇒ LCM (306, 657) = 306 × 657 / 9

                              =  201042 / 9

∴ LCM = 22338

Thus, the LCM of 306 and 657 is 22338.

if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =

Answers

Answer:

4x +5

Step-by-step explanation:

f(x)= 10 – 2x

g(x) = 6x - 5

(f+g)(x) =10 – 2x + 6x - 5

Combine like terms

            = 4x +5

Answer:

( f + g )( x ) = 4 x + 5

Step-by-step explanation:

f ( x ) = 10 - 2 x

g ( x ) = 6 x - 5

( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )

= 10 - 2x + 6 x - 5

combine like terms

= 2 x + 6 x + 10 - 5

= 4 x + 5

Find the area of the following shape:

Answers

Answer:

19 cm²

Step-by-step explanation:

→ Work out the area of the rectangle

1 × 7 = 7

→ State the formula for the area of the triangle

0.5 × base × height

→ Find the base and height

Base = 3 and height = 8

→ Substitute values into formula

0.5 × 3 × 8 = 12

→ Add this total to the rectangle formula

12 + 7 = 19 cm²

- 2.7f+0.3f-12- 5 =
Plss help i need the answer right now plss.​

Answers

Answer:

2.4f-17

Add similar elemets : 2.7f + 0.3f =2.4f

Subtract the numbers:-12 - 5= -17

Answer:

- 2.4f - 17

Step-by-step explanation:

Given

- 2.7f + 0.3f - 12 - 5 ← collect like terms

= - 2.4f - 17

What is the surface area of a sphere with a radius of 21 units

Answers

Hope this helps

Answer: 5541.77

formulae is 4πr²4×22/7×21²4×22×3×21cause 7 divided the first 21 which gave it 3answer=5544cm²

A right triangle has side lengths d, e and f as shown below use the lengths to find sin x cos x and tan x
BRAINLIEST

Answers

Answer:

sin is d/f

cos is e/f

tan is d/e

Step-by-step explanation:

sin is opposite over hypotenuse

cos is adjacent over hypotenuse

tan is opposite over adjacent

Some old hippie, caught another hippie, tripping on acid

Some plz help meeeeeeeeeeereee I really neeeeeeeeeddddddddd ittttttttttt

Answers

I’m pretty sure the answer is A

6 cars 4 people in each car HELP I HAVE 3 minutes

Answers

Answer:

Here we have 6 cars.

And we know that there are 4 people in each car.

The question is incomplete, I assume that we want to find the total number of people in the 6 cars.

So, again, there are 6 cars, and 4 people in each one.

Then we have 6 times 4 people.

This is equal to the product between 6 and 4, which is:

6*4 = 24

There is a total of 24 people in the 6 cars.

Paul started a company. In the first year, his company built 6 structures. The number of structures that his company built doubled every year.

How many structures did paul’s company built in the 5th year?

A. 90
B. 9
C. 192
D. 186

Answers

Answer:

D=186

Step-by-step explanation:

you have to times the number of structures that doubles in a-year so 6×2 then multiply by the years

d 186 because if i’m black and your black we both blake

I need a answer asapppppppp

Answers

Answer:

0.97

Step-by-step explanation:

in this case the number 1 signifies 100 percent hence

1-0.03=0.97

:))) enjoy your day

If it’s out of 100% it should be 99.97%!

15 _ { 10 } + X _ { 2 } = 11011 _ { 2 }​

Answers

11011₂ = 2⁴ + 2³ + 2¹ + 2⁰ = 27

15 + x₂ = 27

x₂ = 12 = 8 + 4 = 2³ + 2² = 1100

In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of a?

Answers

Given:

Consider the below figure attached with this question.

The rate of change of the linear function is -8.

To find:

The value of a.

Solution:

If a linear function passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change of the linear function is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:

[tex]m=\dfrac{a-27}{11-10}[/tex]

[tex]m=\dfrac{a-27}{1}[/tex]

[tex]m=a-27[/tex]

The rate of change of the linear function is -8.

[tex]-8=a-27[/tex]

[tex]-8+27=a[/tex]

[tex]19=a[/tex]

Therefore, the value of a is 19.

Answer:

it is C

Step-by-step explanation:

help me in these please. You will then get BRAINLIEST ​

Answers

1 Ques

Answer

a) Subtract x from both sides:

Divide both sides by -4 to get:

(b)

Add x to both sides:

Subtract 16 from both sides:

Divide both sides by 26 to get:

Simplify:

(c)

Add 12 to both sides:

Subtract x from both sides:

Divide both sides by 7 to get: or we can write

Evaluate the expression when m=4 and n=31.
n-3m

Answers

Answer:

19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

m = 4

n = 31

n - 3m

Step 2: Evaluate

Substitute in variables:                                                                                     31 - 3(4)Multiply:                                                                                                             31 - 12Subtract:                                                                                                            19

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

19

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\n-3m;\text{ } m= 4, n = 31\\---------\\\rightarrow 31-3(4)\\\\\rightarrow 31 - 12\\\\\rightarrow \boxed{19}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

8f(x)=x

2

+6x+8f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 6, x, plus, 8

1) What are the zeros of the function?

Write the smaller xxx first, and the larger xxx second.

\text{smaller }x=smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals

\text{larger }x=larger x=start text, l, a, r, g, e, r, space, end text, x, equals

2) What is the vertex of the parabola?

Answers

Answer:

-2 and -4

Step-by-step explanation:

Given the function f(x) = x² + 6x + 8

If f(x) = 0

x² + 6x + 8 = 0

Factorize

x² + 4x + 2x+ 8 = 0

x(x+4)+2(x+4) = 0

(x+2)(x+4) = 0

x+2 = 0 and x+4 = 0

x = -2 and -4

Hence the zero of the function is -2 and -4

please help me out real quick.​

Answers

Answer:

[tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex]

Step-by-step explanation:

Key formulas used:

[tex]\sqrt{x}^2=|x|[/tex] [tex](a+b)^2=a^2+2ab+c^2[/tex]

Given [tex]\sqrt{3x+4}=1+\sqrt{3x-11}[/tex],

We can use the first formula on the left side of the equation.

In this case, for [tex]\sqrt{x}^2=|x|[/tex], [tex]x=3x+4[/tex], we have:

[tex]\sqrt{3x+4}^2=|3x+4|[/tex]

Similarly, we can use the second formula on the right side of the equation.

In this case, for [tex](a+b)^2=a^2+2ab+c^2[/tex], [tex]a=1, b=\sqrt{3x-11}[/tex], we have:

[tex](1+\sqrt{3x-11})^2=1^2+2\cdot 1\cdot \sqrt{3x-11}+\sqrt{3x-11}^2,\\=1+2\sqrt{3x-11}+3x-11,\\=3x+2\sqrt{3x-11}-10[/tex]

Therefore, when you square both sides of the equation, you get:

[tex]\boxed{\text{B. }3x+4=3x+2\sqrt{3x-11}-10}[/tex]

*Important:

This answer choice is actually only correct if [tex]3x+4>0[/tex], because of the first formula we used. If [tex]3x+4<0[/tex] (negative), then [tex]3x+4\neq \sqrt{3x+4}^2,\text{ if }3x-4<0[/tex]. Graphically, you can show this since the line [tex]y=\sqrt{x}^2[/tex] is not equal to [tex]y=x[/tex] but instead [tex]y=|x|[/tex]. [tex]y=\sqrt{x^2}[/tex] and [tex]y=x[/tex] only overlap if you restrict the domain to [tex][0, \infty)[/tex] (positive numbers), hence [tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex].

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